Edit Profile Bandle, Catherine Compute Distance To: Compute Author ID: bandle.catherine Published as: Bandle, C.; Bandle, Catherina; Bandle, Catherine External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 172 Publications since 1967, including 11 Books Reviewing Activity: 59 Reviews all top 5 Co-Authors 58 single-authored 20 Marcus, Moshe M. 9 Wagner, Alfred 8 Chipot, Michel 8 Pozio, Maria Assunta 6 Reichel, Wolfgang 6 Stakgold, Ivar 5 Shafrir, Itai 5 Tesei, Alberto 4 Bemelmans, Josef 4 Flucher, Martin 4 Kabeya, Yoshitsugu 4 Levine, Howard Allen 4 Peletier, Lambertus Adrianus 4 Saint Jean Paulin, Jeannine 3 Brillard, Alain 3 Losonczi, László 3 Moroz, Vitaly 3 Punzo, Fabio 3 Sperb, Rene P. 2 Amann, Herbert 2 Brauner, Claude-Michel 2 Brunner, Hermann 2 Conrad, Francis 2 Diaz Diaz, Jesus Ildefonso 2 Dozzi, Marco E. 2 Essén, Matts Raguel 2 Gilányi, Attila 2 Grüter, Michael 2 Hersch, Joseph 2 Monticelli, Dario Daniele 2 Mossino, Jacqueline 2 Ninomiya, Hirokazu 2 Plum, Michael 2 Porru, Giovanni 2 Stingelin, Simon 2 von Below, Joachim 2 Wei, Juncheng 1 Benguria, Rafael D. 1 Berestycki, Henri 1 Bordag, Ljudmila A. 1 Brighi, Bernard 1 Buonocore, Pasquale 1 Coffman, Charles V. 1 Coron, Jean-Michel 1 de Thélin, François 1 Diaz, Gregorio 1 Everitt, William Norrie 1 Fleckinger, Jacqueline 1 Fontelos López, Marco Antonio 1 Giarrusso, Ester 1 González, María del Mar 1 Greco, Antonio 1 Klötzler, Rolf 1 Kwong, Man Kam 1 Leutwiler, Heinz 1 Mastrolia, Paolo 1 Nanbu, Tokumori 1 Páles, Zsolt 1 Philippin, Gérard A. 1 Sbordone, Carlo 1 Scarpellini, Bruno 1 Schmidt-Lainé, Claudine 1 Schott, René 1 Valente, Vanda 1 Vergara Caffarelli, Giorgio 1 Vernier-Piro, Stella 1 Walter, Wolfgang 1 Wolanski, Noemi I. 1 Zemp, Beat 1 Zhang, Qi-Shuhuason all top 5 Serials 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Mathematical Analysis and Applications 8 SIAM Journal on Mathematical Analysis 8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 7 Comptes Rendus de l’Académie des Sciences. Série I 5 Journal of Differential Equations 4 Transactions of the American Mathematical Society 4 Nonlinear Analysis. Theory, Methods & Applications 3 Archive for Rational Mechanics and Analysis 3 Journal d’Analyse Mathématique 3 Commentarii Mathematici Helvetici 3 Mathematische Zeitschrift 3 ISNM. International Series of Numerical Mathematics 3 Advances in Nonlinear Analysis 2 Applicable Analysis 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Differential and Integral Equations 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Convex Analysis 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Delft Progress Report 1 Complex Variables. Theory and Application 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Aequationes Mathematicae 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Nova Acta Leopoldina. Neue Folge 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid 1 SIAM Review 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Advances in Mathematical Sciences and Applications 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 Analele Universităţii din Craiova. Seria Matematică Informatică 1 Advances in Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Communications on Pure and Applied Analysis 1 Banach Journal of Mathematical Analysis 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 143 Partial differential equations (35-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 12 Convex and discrete geometry (52-XX) 11 Ordinary differential equations (34-XX) 9 General and overarching topics; collections (00-XX) 9 Operator theory (47-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Numerical analysis (65-XX) 7 Differential geometry (53-XX) 6 Real functions (26-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Functions of a complex variable (30-XX) 4 History and biography (01-XX) 4 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 133 Publications have been cited 1,963 times in 1,365 Documents Cited by ▼ Year ▼ Isoperimetric inequalities and applications. Zbl 0436.35063Bandle, Catherine 355 1980 ‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour. Zbl 0802.35038Bandle, Catherine; Marcus, Moshe 188 1992 Blowup in diffusion equations: A survey. Zbl 0932.65098Bandle, Catherine; Brunner, Hermann 121 1998 On the existence and nonexistence of global solutions of reaction- diffusion equations in sectorial domains. Zbl 0693.35081Bandle, Catherine; Levine, Howard A. 77 1989 Nonlinear elliptic problems in annular domains. Zbl 0618.35043Bandle, C.; Coffman, C. V.; Marcus, M. 73 1987 Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary. Zbl 0840.35033Bandle, Catherine; Marcus, Moshe 65 1995 Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034Bandle, Catherine; Giarrusso, Ester 60 1996 On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems. Zbl 1042.35535Bandle, Catherine; Marcus, Moshe 59 1998 Semilinear elliptic problems in annular domains. Zbl 0687.35036Bandle, C.; Kwong, Man Kam 48 1989 Harmonic radius and concentration of energy; hyperbolic radius and Liouville’s equations \(\Delta U=e^ U\) and \(\Delta U=U^{n+2\over n-2}\). Zbl 0857.35034Bandle, C.; Flucher, M. 47 1996 Existence theorems, qualitative results and priori bounds for a class of non-linear Dirichlet problems. Zbl 0335.35046Bandle, Catherine 43 1975 The formation of the dead core in parabolic reaction-diffusion problems. Zbl 0519.35042Bandle, Catherine; Stakgold, Ivar 38 1984 Diffusion and reaction with monotone kinetics. Zbl 0545.35011Bandle, C.; Sperb, R. P.; Stakgold, I. 35 1984 Existence and uniqueness of solutions of nonlinear Neumann problems. Zbl 0633.35042Bandle, C.; Pozio, M. A.; Tesei, A. 33 1988 On the solutions of quasilinear elliptic problems with boundary blow-up. Zbl 0806.35045Bandle, Catherine; Essén, Matts 31 1994 Sur les solutions maximales de problèmes elliptiques nonlinéaires: Bornes isopérimétriques et comportement asymptotique. (Maximal solutions in nonlinear elliptic problems: Isoperimetric estimates and asymptotic behaviour). Zbl 0726.35041Bandle, Catherine; Marcus, Moshe 31 1990 Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary. Zbl 1129.35312Bandle, Catherine; Marcus, Moshe 30 2004 Asymptotic behaviour of large solutions of quasilinear elliptic problems. Zbl 1099.35505Bandle, C. 30 2003 The asymptotic behavior of the solutions of degenerate parabolic equations. Zbl 0633.35041Bandle, Catherine; Pozio, M. A.; Tesei, Alberto 29 1987 Critical exponents of Fujita type for inhomogeneous parabolic equations and systems. Zbl 0968.35019Bandle, C.; Levine, H. A.; Zhang, Qi S. 25 2000 On positive solutions of Emden equations in cone-like domains. Zbl 0727.35051Bandle, Catherine; Essén, Matts 22 1990 On symmetrizations in parabolic equations. Zbl 0331.35036Bandle, Catherine 21 1976 The Brézis-Nirenberg problem on \(\mathbb{S}^3\). Zbl 0995.35027Bandle, Catherine; Benguria, Rafael 19 2002 ‘Boundary blowup’ type sub-solutions to semilinear elliptic equations with Hardy potential. Zbl 1141.35022Bandle, Catherine; Moroz, Vitaly; Reichel, Wolfgang 18 2008 Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature. Zbl 0912.35065Bandle, C.; Brillard, A.; Flucher, M. 18 1998 Best Sobolev constants and Emden equations for the critical exponent in \(S^3\). Zbl 0932.49023Bandle, C.; Peletier, L. A. 16 1999 The Fujita exponent for the Cauchy problem in the hyperbolic space. Zbl 1227.35052Bandle, Catherine; Pozio, Maria Assunta; Tesei, Alberto 15 2011 Numerical analysis of semilinear parabolic problems with blow-up solutions. Zbl 0862.65053Bandle, C.; Brunner, H. 15 1994 The positive radial solutions of a class of semilinear elliptic equations. Zbl 0676.35033Bandle, Catherine; Marcus, Moshe 15 1989 Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up. Zbl 1223.35187Bandle, Catherine; von Below, Joachim; Reichel, Wolfgang 13 2006 Asymptotic behavior of large solutions of elliptic equations. Zbl 1120.35014Bandle, Catherine 13 2005 Large solutions of quasilinear elliptic equations: Existence and qualitative properties. Zbl 0887.35056Bandle, Catherine; Greco, Antonio; Porru, Giovanni 12 1997 Konstruktion isoperimetrischer Ungleichungen der mathematischen Physik aus solchen der Geometrie. Zbl 0219.52008Bandle, C. 12 1971 Existence and nonexistence of patterns on Riemannian manifolds. Zbl 1245.58010Bandle, Catherine; Punzo, Fabio; Tesei, Alberto 11 2012 Nonlinear elliptic problems with critical exponent in shrinking annuli. Zbl 0619.35044Bandle, C.; Peletier, L. A. 10 1988 Second domain variation for problems with Robin boundary conditions. Zbl 1329.49082Bandle, Catherine; Wagner, Alfred 9 2015 On the positive, “radial” solutions of a semilinear elliptic equation in \(\mathbb {H}^N\). Zbl 1277.35147Bandle, Catherine; Kabeya, Yoshitsugu 9 2012 Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. Zbl 1187.35080Bandle, Catherine; Moroz, Vitaly; Reichel, Wolfgang 9 2010 Solutions of quasilinear second-order elliptic boundary value problems via degree theory. Zbl 1129.35367Bandle, Catherine; Reichel, Wolfgang 9 2004 Fujita type results for convective-like reaction diffusion equations in exterior domains. Zbl 0697.76099Bandle, Catherine; Levine, Howard A. 9 1989 Über das Stekloffsche Eigenwertproblem: Isoperimetrische Ungleichungen für symmetrische Gebiete. Zbl 0157.42802Bandle, C. 8 1968 Multiple clustered layer solutions for semilinear elliptic problems on S\(^n\). Zbl 1196.35107Bandle, Catherine; Wei, Juncheng 7 2008 Porous medium equation with absorption. Zbl 0935.35083Bandle, Catherine; Nanbu, Tokumori; Stakgold, Ivar 7 1998 On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations. Zbl 0763.35033Bandle, Catherine; Leutwiler, Heinz 7 1991 A priori estimates and the boundary values of solutions for a problem arising in plasma physics. Zbl 0509.35032Bandle, Catherine; Marcus, Moshe 7 1983 Bounds for the solutions of boundary value problems. Zbl 0327.35007Bandle, Catherine 7 1976 Applications of Rellich’s perturbation theory to a classical boundary and eigenvalue problem. Zbl 0278.35069Bandle, Catherine; Sperb, Rene P. 7 1973 On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds. Zbl 1338.35175Bandle, C.; Mastrolia, P.; Monticelli, D. D.; Punzo, F. 6 2016 Non-radial clustered spike solutions for semilinear elliptic problems on \(S^N\). Zbl 1132.35363Bandle, Catherine; Wei, Juncheng 6 2007 A linear parabolic problem with non-dissipative dynamical boundary conditions. Zbl 1141.35386Bandle, C.; Reichel, W. 6 2006 Table of inequalities in elliptic boundary value problems. Zbl 0914.35042Bandle, C.; Flucher, M. 6 1998 Solutions of reaction-diffusion equations blowing up on the parabolic boundary. Zbl 0802.35076Bandle, Catherine; Díaz, Gregorio; Díaz, Jesús Ildefonso 6 1994 Fujita type phenomena for reaction-diffusion equations with convection like terms. Zbl 0811.35044Bandle, Catherine; Levine, Howard A. 6 1994 On isoperimetric gradient bounds for Poisson problems and problems of torsional creep. Zbl 0436.35026Bandle, Catherine 6 1979 Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential. Zbl 1381.35045Bandle, Catherine; Marcus, Moshe; Moroz, Vitaly 5 2017 Rayleigh-Faber-Krahn inequalities and quasilinear elliptic boundary value problems. Zbl 1162.35363Bandle, Catherine 5 2003 Estimates for solutions of quasilinear problems with dead cores. Zbl 1039.35031Bandle, Catherina; Vernier-Piro, Stella 5 2003 On a differential inequality and its applications to geometry. Zbl 0316.35009Bandle, Catherine 5 1976 Extremaleigenschaften von Kreissektoren und Halbkugeln. (Extremal properties of sectors of a circle and hemispheres). Zbl 0221.52006Bandle, Catherine 5 1971 Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions. Zbl 1328.49041Bandle, Catherine; Wagner, Alfred 4 2015 Sublinear elliptic problems with a Hardy potential. Zbl 1318.35049Bandle, Catherine; Pozio, Maria Assunta 4 2015 Imperfect bifurcations in nonlinear elliptic equations on spherical caps. Zbl 1202.35096Bandle, Catherine; Kabeya, Yoshitsugu; Ninomiya, Hirokazu 4 2010 Equivalence classes for Emden equations. Zbl 1011.34037Bandle, Catherine; Bordag, Ljudmila A. 4 2002 Extremal problems for eigenvalues of the Sturm-Liouville type. Zbl 0638.34019Bandle, Catherine 4 1987 Comparison theorems for a class of nonlinear Dirichlet problems. Zbl 0362.35034Bandle, Catherine; Marcus, Moshe 4 1977 Isoperimetric inequalities for a class of nonlinear parabolic equations. Zbl 0324.35051Bandle, Catherine 4 1976 Problèmes de Dirichlet non linéaires: une condition suffisante isoperimetrique pour l’existence d’une solution. Zbl 0298.35026Bandle, Catherine; Hersch, Joseph 4 1975 Bounds for the solutions of Poisson problems and applications to nonlinear eigenvalue problems. Zbl 0291.35024Bandle, Catherine 4 1975 Mean value theorems for functions satisfying the inequality \(\Delta u +Ke^u \geq 0\). Zbl 0257.35039Bandle, Catherine 4 1973 Radial averaging transformations with various metrics. Zbl 0256.53048Bandle, Catherine; Marcus, Moshe 4 1973 Isoperimetric inequality for some eigenvalues of an inhomogeneous, free membrane. Zbl 0237.35069Bandle, Catherine 4 1972 Extensions of an inequality by Pólya and Schiffer for vibrating membranes. Zbl 0217.13301Bandle, C. 4 1972 Large solutions of semilinear elliptic equations with ‘singular’ coefficients. Zbl 0795.35023Bandle, C.; Marcus, M. 3 1992 Singular perturbation method in a parabolic problem with free boundary. Zbl 0674.35041Bandle, Catherine; Brauner, Claude-Michel 3 1986 Problèmes de Dirichlet non-linéaires dans des anneaux. (Nonlinear Dirichlet problems in annuli). Zbl 0608.35019Bandle, Catherine; Peletier, Lambertus-Adrianus 3 1986 Qualitative behavior and bounds in a nonlinear plasma problem. Zbl 0519.35030Bandle, Catherine; Sperb, Rene P. 3 1983 On the boundary values of solutions of a problem arising in plasma physics. Zbl 0509.35031Bandle, Catherine; Marcus, Moshe 3 1982 Un théorème de comparaison pour un problème elliptique avec une non- linearite singuliere. Zbl 0402.35010Bandle, Catherine; Marcus, Moshe 3 1978 Estimates for the Green’s functions of elliptic operators. Zbl 0401.35005Bandle, Catherine 3 1978 Isoperimetric inequalities for a nonlinear eigenvalue problem. Zbl 0326.35004Bandle, Catherine 3 1976 Radial averaging transformations and generalized capacities. Zbl 0308.31003Bandle, Catherine; Marcus, Moshe 3 1975 Symetrisation et équations paraboliques. Zbl 0299.35051Bandle, Catherine 3 1975 Sur un problème de Dirichlet non linéaire. Zbl 0249.35031Bandle, Catherine 3 1973 Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues. Zbl 1385.49011Bandle, Catherine; Wagner, Alfred 2 2018 Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign. Zbl 1360.35126Bandle, C.; Wagner, A. 2 2017 Domain derivatives for energy functionals with boundary integrals. Zbl 1253.49030Bandle, Catherine; Wagner, Alfred 2 2012 A Rayleigh-Faber-Krahn inequality and some monotonicity properties for eigenvalue problems with mixed boundary conditions. Zbl 1266.35118Bandle, Catherine 2 2009 Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions. Zbl 1167.35012Bandle, C.; von Below, J.; Reichel, W. 2 2008 Optimization problems for weighted Sobolev constants. Zbl 1118.49004Bandle, Catherine; Wagner, Alfred 2 2007 Nonlinear elliptic equations involving critical Sobolev exponents: Asymptotic analysis via methods of epi-convergence. Zbl 0808.35031Bandle, C.; Brillard, A. 2 1994 Solutions of semilinear elliptic problems in shrinking annuli. Zbl 0702.35088Bandle, Catherine; Marcus, Moshe 2 1990 Blow up in exterior domains. Zbl 0699.35120Bandle, C. 2 1989 Nonlinear parabolic equations with sinks and sources. Zbl 0685.35058Bandle, Catherine; Pozio, Maria Assunta 2 1988 Reaction-diffusion and dead cores. Zbl 0594.35058Bandle, C.; Stakgold, I. 2 1985 A note on optimal domains in a reaction-diffusion problem. Zbl 0578.35046Bandle, C. 2 1985 Rearrangement in variational inequalities. Zbl 0563.49005Bandle, C.; Mossino, J. 2 1984 Application du réarrangement à une inéquation variationnelle. Zbl 0534.49006Bandle, Catherine; Mossino, Jacqueline 2 1983 Remarks on plasma problems with nonmonotone nonlinearities. Zbl 0509.35033Bandle, Catherine; Marcus, Moshe 2 1983 On the size of the plasma region. Zbl 0494.35040Bandle, Catherine; Marcus, Moshe 2 1983 Abschätzung der Randwerte bei nichtlinearen elliptischen Gleichungen aus der Plasmaphysik. Zbl 0469.76115Bandle, Catherine 2 1981 Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues. Zbl 1385.49011Bandle, Catherine; Wagner, Alfred 2 2018 A nonlocal diffusion problem on manifolds. Zbl 1405.35066Bandle, Catherine; del Mar González, María; Fontelos, Marco A.; Wolanski, Noemi 1 2018 Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential. Zbl 1381.35045Bandle, Catherine; Marcus, Moshe; Moroz, Vitaly 5 2017 Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign. Zbl 1360.35126Bandle, C.; Wagner, A. 2 2017 Dido’s problem and its impact on modern mathematics. Zbl 1395.01010Bandle, Catherine 1 2017 On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds. Zbl 1338.35175Bandle, C.; Mastrolia, P.; Monticelli, D. D.; Punzo, F. 6 2016 Second domain variation for problems with Robin boundary conditions. Zbl 1329.49082Bandle, Catherine; Wagner, Alfred 9 2015 Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions. Zbl 1328.49041Bandle, Catherine; Wagner, Alfred 4 2015 Sublinear elliptic problems with a Hardy potential. Zbl 1318.35049Bandle, Catherine; Pozio, Maria Assunta 4 2015 Large solutions in cylindrical domains. Zbl 1304.35032Bandle, Catherine; Chipot, Michel 1 2013 Erratum: “On the positive, ‘radial’ solutions of a semilinear elliptic equation in \(\mathbb H^N\)”. Zbl 1277.35146Bandle, Catherine; Kabeya, Yoshitsugu 1 2013 Existence and nonexistence of patterns on Riemannian manifolds. Zbl 1245.58010Bandle, Catherine; Punzo, Fabio; Tesei, Alberto 11 2012 On the positive, “radial” solutions of a semilinear elliptic equation in \(\mathbb {H}^N\). Zbl 1277.35147Bandle, Catherine; Kabeya, Yoshitsugu 9 2012 Domain derivatives for energy functionals with boundary integrals. Zbl 1253.49030Bandle, Catherine; Wagner, Alfred 2 2012 The Fujita exponent for the Cauchy problem in the hyperbolic space. Zbl 1227.35052Bandle, Catherine; Pozio, Maria Assunta; Tesei, Alberto 15 2011 Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. Zbl 1187.35080Bandle, Catherine; Moroz, Vitaly; Reichel, Wolfgang 9 2010 Imperfect bifurcations in nonlinear elliptic equations on spherical caps. Zbl 1202.35096Bandle, Catherine; Kabeya, Yoshitsugu; Ninomiya, Hirokazu 4 2010 A Rayleigh-Faber-Krahn inequality and some monotonicity properties for eigenvalue problems with mixed boundary conditions. Zbl 1266.35118Bandle, Catherine 2 2009 Optimization problems for an energy functional with mass constraint revisited. Zbl 1158.49042Bandle, Catherine; Wagner, Alfred 1 2009 ‘Boundary blowup’ type sub-solutions to semilinear elliptic equations with Hardy potential. Zbl 1141.35022Bandle, Catherine; Moroz, Vitaly; Reichel, Wolfgang 18 2008 Multiple clustered layer solutions for semilinear elliptic problems on S\(^n\). Zbl 1196.35107Bandle, Catherine; Wei, Juncheng 7 2008 Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions. Zbl 1167.35012Bandle, C.; von Below, J.; Reichel, W. 2 2008 An eigenvalue problem with mixed boundary conditions and trace theorems. Zbl 1141.35040Bandle, Catherine 1 2008 Non-radial clustered spike solutions for semilinear elliptic problems on \(S^N\). Zbl 1132.35363Bandle, Catherine; Wei, Juncheng 6 2007 Optimization problems for weighted Sobolev constants. Zbl 1118.49004Bandle, Catherine; Wagner, Alfred 2 2007 Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up. Zbl 1223.35187Bandle, Catherine; von Below, Joachim; Reichel, Wolfgang 13 2006 A linear parabolic problem with non-dissipative dynamical boundary conditions. Zbl 1141.35386Bandle, C.; Reichel, W. 6 2006 Sobolev constants in disconnected domains. Zbl 1366.49006Bandle, Catherine; Wagner, Alfred 1 2006 Asymptotic behavior of large solutions of elliptic equations. Zbl 1120.35014Bandle, Catherine 13 2005 Best Sobolev constants and quasi-linear elliptic equations with critical growth on spheres. Zbl 1330.35166Bandle, C.; Peletier, L. A.; Stingelin, S. 1 2005 Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary. Zbl 1129.35312Bandle, Catherine; Marcus, Moshe 30 2004 Solutions of quasilinear second-order elliptic boundary value problems via degree theory. Zbl 1129.35367Bandle, Catherine; Reichel, Wolfgang 9 2004 Asymptotic behaviour of large solutions of quasilinear elliptic problems. Zbl 1099.35505Bandle, C. 30 2003 Rayleigh-Faber-Krahn inequalities and quasilinear elliptic boundary value problems. Zbl 1162.35363Bandle, Catherine 5 2003 Estimates for solutions of quasilinear problems with dead cores. Zbl 1039.35031Bandle, Catherina; Vernier-Piro, Stella 5 2003 The Brézis-Nirenberg problem on \(\mathbb{S}^3\). Zbl 0995.35027Bandle, Catherine; Benguria, Rafael 19 2002 Equivalence classes for Emden equations. Zbl 1011.34037Bandle, Catherine; Bordag, Ljudmila A. 4 2002 Boundary value problems for the \(q\)-Laplacian on \(\mathbb{S}^N\). Zbl 1002.35034Bandle, C.; Fleckinger, J.; de Thélin, F. 1 2001 Critical exponents of Fujita type for inhomogeneous parabolic equations and systems. Zbl 0968.35019Bandle, C.; Levine, H. A.; Zhang, Qi S. 25 2000 Best Sobolev constants and Emden equations for the critical exponent in \(S^3\). Zbl 0932.49023Bandle, C.; Peletier, L. A. 16 1999 Blowup in diffusion equations: A survey. Zbl 0932.65098Bandle, Catherine; Brunner, Hermann 121 1998 On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems. Zbl 1042.35535Bandle, Catherine; Marcus, Moshe 59 1998 Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature. Zbl 0912.35065Bandle, C.; Brillard, A.; Flucher, M. 18 1998 Porous medium equation with absorption. Zbl 0935.35083Bandle, Catherine; Nanbu, Tokumori; Stakgold, Ivar 7 1998 Table of inequalities in elliptic boundary value problems. Zbl 0914.35042Bandle, C.; Flucher, M. 6 1998 Large solutions of quasilinear elliptic equations: Existence and qualitative properties. Zbl 0887.35056Bandle, Catherine; Greco, Antonio; Porru, Giovanni 12 1997 Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034Bandle, Catherine; Giarrusso, Ester 60 1996 Harmonic radius and concentration of energy; hyperbolic radius and Liouville’s equations \(\Delta U=e^ U\) and \(\Delta U=U^{n+2\over n-2}\). Zbl 0857.35034Bandle, C.; Flucher, M. 47 1996 Blow up behaviour of a stochastic partial differential equation of reaction-diffusion type. Zbl 0866.60052Bandle, C.; Dozzi, M.; Schott, R. 1 1996 Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary. Zbl 0840.35033Bandle, Catherine; Marcus, Moshe 65 1995 On the solutions of quasilinear elliptic problems with boundary blow-up. Zbl 0806.35045Bandle, Catherine; Essén, Matts 31 1994 Numerical analysis of semilinear parabolic problems with blow-up solutions. Zbl 0862.65053Bandle, C.; Brunner, H. 15 1994 Solutions of reaction-diffusion equations blowing up on the parabolic boundary. Zbl 0802.35076Bandle, Catherine; Díaz, Gregorio; Díaz, Jesús Ildefonso 6 1994 Fujita type phenomena for reaction-diffusion equations with convection like terms. Zbl 0811.35044Bandle, Catherine; Levine, Howard A. 6 1994 Nonlinear elliptic equations involving critical Sobolev exponents: Asymptotic analysis via methods of epi-convergence. Zbl 0808.35031Bandle, C.; Brillard, A. 2 1994 Comparison theorems for stochastic differential inequalities and an application to reaction-diffusion equations with random sources. Zbl 0796.60063Bandle, Catherine; Dozzi, Marco 1 1994 ‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour. Zbl 0802.35038Bandle, Catherine; Marcus, Moshe 188 1992 Large solutions of semilinear elliptic equations with ‘singular’ coefficients. Zbl 0795.35023Bandle, C.; Marcus, M. 3 1992 Positive solutions of Emden equations in cone-like domains. Zbl 0795.35029Bandle, Catherine 1 1992 A stability analysis for semilinear Neumann problems with concave non- linearities. Zbl 0801.35055Bandle, C.; Brauner, C. M.; Schmidt-Lainé, C. 1 1992 On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations. Zbl 0763.35033Bandle, Catherine; Leutwiler, Heinz 7 1991 Sur les solutions maximales de problèmes elliptiques nonlinéaires: Bornes isopérimétriques et comportement asymptotique. (Maximal solutions in nonlinear elliptic problems: Isoperimetric estimates and asymptotic behaviour). Zbl 0726.35041Bandle, Catherine; Marcus, Moshe 31 1990 On positive solutions of Emden equations in cone-like domains. Zbl 0727.35051Bandle, Catherine; Essén, Matts 22 1990 Solutions of semilinear elliptic problems in shrinking annuli. Zbl 0702.35088Bandle, Catherine; Marcus, Moshe 2 1990 On the existence and nonexistence of global solutions of reaction- diffusion equations in sectorial domains. Zbl 0693.35081Bandle, Catherine; Levine, Howard A. 77 1989 Semilinear elliptic problems in annular domains. Zbl 0687.35036Bandle, C.; Kwong, Man Kam 48 1989 The positive radial solutions of a class of semilinear elliptic equations. Zbl 0676.35033Bandle, Catherine; Marcus, Moshe 15 1989 Fujita type results for convective-like reaction diffusion equations in exterior domains. Zbl 0697.76099Bandle, Catherine; Levine, Howard A. 9 1989 Blow up in exterior domains. Zbl 0699.35120Bandle, C. 2 1989 Existence and uniqueness of solutions of nonlinear Neumann problems. Zbl 0633.35042Bandle, C.; Pozio, M. A.; Tesei, A. 33 1988 Nonlinear elliptic problems with critical exponent in shrinking annuli. Zbl 0619.35044Bandle, C.; Peletier, L. A. 10 1988 Nonlinear parabolic equations with sinks and sources. Zbl 0685.35058Bandle, Catherine; Pozio, Maria Assunta 2 1988 Nonlinear elliptic problems in annular domains. Zbl 0618.35043Bandle, C.; Coffman, C. V.; Marcus, M. 73 1987 The asymptotic behavior of the solutions of degenerate parabolic equations. Zbl 0633.35041Bandle, Catherine; Pozio, M. A.; Tesei, Alberto 29 1987 Extremal problems for eigenvalues of the Sturm-Liouville type. Zbl 0638.34019Bandle, Catherine 4 1987 On a reaction-diffusion problem with a dead core. Zbl 0661.35049Bandle, C. 1 1987 Problème de Neumann non linéaires de types elliptique et parabolique. (Nonlinear Neumann problems of elliptic and parabolic type). Zbl 0638.35033Bandle, Catherine; Pozio, Maria A.; Tesei, Alberto 1 1987 Singular perturbation method in a parabolic problem with free boundary. Zbl 0674.35041Bandle, Catherine; Brauner, Claude-Michel 3 1986 Problèmes de Dirichlet non-linéaires dans des anneaux. (Nonlinear Dirichlet problems in annuli). Zbl 0608.35019Bandle, Catherine; Peletier, Lambertus-Adrianus 3 1986 Reaction-diffusion and dead cores. Zbl 0594.35058Bandle, C.; Stakgold, I. 2 1985 A note on optimal domains in a reaction-diffusion problem. Zbl 0578.35046Bandle, C. 2 1985 Nonlinear boundary value problems in annular domains. Zbl 0608.35018Bandle, Catherine 1 1985 The formation of the dead core in parabolic reaction-diffusion problems. Zbl 0519.35042Bandle, Catherine; Stakgold, Ivar 38 1984 Diffusion and reaction with monotone kinetics. Zbl 0545.35011Bandle, C.; Sperb, R. P.; Stakgold, I. 35 1984 Rearrangement in variational inequalities. Zbl 0563.49005Bandle, C.; Mossino, J. 2 1984 Isoperimetric inequality for the effectiveness in semilinear parabolic problems. Zbl 0592.35069Bandle, Catherine; Stakgold, Ivar 1 1984 The formation of the dead core in parabolic reaction-diffusion problems. Zbl 0526.35045Stakgold, Ivar; Bandle, Catherine 1 1984 A priori estimates and the boundary values of solutions for a problem arising in plasma physics. Zbl 0509.35032Bandle, Catherine; Marcus, Moshe 7 1983 Qualitative behavior and bounds in a nonlinear plasma problem. Zbl 0519.35030Bandle, Catherine; Sperb, Rene P. 3 1983 Application du réarrangement à une inéquation variationnelle. Zbl 0534.49006Bandle, Catherine; Mossino, Jacqueline 2 1983 Remarks on plasma problems with nonmonotone nonlinearities. Zbl 0509.35033Bandle, Catherine; Marcus, Moshe 2 1983 On the size of the plasma region. Zbl 0494.35040Bandle, Catherine; Marcus, Moshe 2 1983 Isoperimetric inequalities. Zbl 0519.53037Bandle, Catherine 1 1983 On the boundary values of solutions of a problem arising in plasma physics. Zbl 0509.35031Bandle, Catherine; Marcus, Moshe 3 1982 Estimates for the boundary values of the solutions of certain nonlinear elliptic equations. Zbl 0502.35042Bandle, Catherine 1 1982 Abschätzung der Randwerte bei nichtlinearen elliptischen Gleichungen aus der Plasmaphysik. Zbl 0469.76115Bandle, Catherine 2 1981 Sur une classe de problèmes apparaissant en physique des plasmas. Zbl 0484.35036Bandle, Catherine; Marcus, Moshe 1 1981 A priori bounds for a class of nonlinear elliptic equations and applications to physical problems. Zbl 0454.35020Bandle, Catherine 1 1981 Isoperimetric inequalities and applications. Zbl 0436.35063Bandle, Catherine 355 1980 On isoperimetric gradient bounds for Poisson problems and problems of torsional creep. Zbl 0436.35026Bandle, Catherine 6 1979 ...and 33 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,305 Authors 55 Bandle, Catherine 28 Marcus, Moshe M. 26 García-Melián, Jorge 22 Rossi, Julio Daniel 22 Zhang, Zhijun 17 Payne, Lawrence Edward 15 Agarwal, Ravi P. 15 Véron, Laurent 14 López-Gómez, Julián 12 Diaz Diaz, Jesus Ildefonso 12 Porru, Giovanni 12 Sperb, Rene P. 12 Wang, Mingxin 12 Wong, Patricia J. Y. 11 Brock, Friedemann 11 Chiacchio, Francesco 11 Ferone, Vincenzo 11 Laugesen, Richard Snyder 11 Levine, Howard Allen 11 Mohammed, Ahmed 11 Philippin, Gérard A. 11 Siudeja, Bartłomiej Andrzej 11 Vazquez, Juan Luis 10 Boscaggin, Alberto 10 Guo, Zongming 10 Quaas, Alexander 10 Sabina-de-Lis, José Claudio 10 Wei, Juncheng 10 Wong, Fu-Hsiang 9 Avkhadiev, Farit Gabidinovich 9 Bartolucci, Daniele 9 Benguria, Rafael D. 9 Giarrusso, Ester 9 Groisman, Pablo 9 Henderson, Johnny 9 Huang, Shuibo 9 Punzo, Fabio 9 Samet, Bessem 9 Zheng, Sining 8 Alvino, Angelo 8 Bobisud, Larry E. 8 Ding, Juntang 8 Grossi, Massimo 8 Jleli, Mohamed 8 Lin, Chang-Shou 8 Lions, Pierre-Louis 8 Rădulescu, Vicenţiu D. 8 Ramos Quoirin, Humberto 8 Tian, Qiaoyu 8 Umezu, Kenichiro 8 Volzone, Bruno 8 Yang, Zuodong 7 Alarcón, Salomón 7 Bañuelos, Rodrigo 7 Chen, Yujuan 7 Cîrstea, Florica-Corina Şt. 7 Kawohl, Bernd 7 Mercaldo, Anna 7 Nguyen Phuoc Tai 7 Posteraro, Maria Rosaria 7 Rakotoson, Jean-Michel 7 Reichel, Wolfgang 7 Salakhudinov, Rustem Gumerovich 7 Wagner, Alfred 7 Wang, Haiyan 7 Zanolin, Fabio 6 Cosner, Chris 6 Feltrin, Guglielmo 6 Kaufmann, Uriel 6 Li, Fengjie 6 Lin, Song-Sun 6 Liu, Bingchen 6 Peletier, Lambertus Adrianus 6 Pinsky, Ross George 6 Pozio, Maria Assunta 6 Schmitt, Klaus 6 Sirakov, Boyan Slavchev 6 Tarantello, Gabriella 6 Trombetti, Guido 6 Wei, Lei 5 Ashbaugh, Mark S. 5 Brandolini, Barbara 5 Brunner, Hermann 5 Chu, Chieping 5 Di Blasio, Giuseppina 5 Dittmar, Bodo 5 Fang, Zhongbo 5 Lin, Changhao 5 Liu, Chunlian 5 Lorca, Sebastian Antonio 5 Lucia, Marcello 5 Ma, Jingtang 5 Maire, Luis 5 Mi, Ling 5 O’Regan, Donal 5 Orpel, Aleksandra 5 Pistoia, Angela 5 Schaefer, Philip W. 5 Stakgold, Ivar 5 Suzuki, Takashi ...and 1,205 more Authors all top 5 Cited in 224 Serials 134 Journal of Mathematical Analysis and Applications 109 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 101 Journal of Differential Equations 48 ZAMP. Zeitschrift für angewandte Mathematik und Physik 45 Nonlinear Analysis. Theory, Methods & Applications 32 Proceedings of the American Mathematical Society 32 Calculus of Variations and Partial Differential Equations 30 Journal of Functional Analysis 29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Applicable Analysis 24 Archive for Rational Mechanics and Analysis 23 Applied Mathematics and Computation 21 Journal d’Analyse Mathématique 21 Transactions of the American Mathematical Society 20 Communications in Partial Differential Equations 19 Computers & Mathematics with Applications 18 Mathematische Annalen 17 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Journal of Computational and Applied Mathematics 16 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Applied Mathematics Letters 15 Communications in Contemporary Mathematics 15 Advanced Nonlinear Studies 13 Nonlinear Analysis. Real World Applications 12 Mathematical Methods in the Applied Sciences 12 Rocky Mountain Journal of Mathematics 12 Advances in Mathematics 11 Zeitschrift für Analysis und ihre Anwendungen 11 NoDEA. Nonlinear Differential Equations and Applications 11 Discrete and Continuous Dynamical Systems 11 Boundary Value Problems 10 Journal of Mathematical Physics 9 Israel Journal of Mathematics 9 Duke Mathematical Journal 9 Mathematische Zeitschrift 9 Mathematical and Computer Modelling 8 Numerische Mathematik 8 Journal of Mathematical Sciences (New York) 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Advances in Nonlinear Analysis 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Journal of Evolution Equations 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Communications in Mathematical Physics 5 Mathematical Notes 5 Archiv der Mathematik 5 Manuscripta Mathematica 5 The Journal of Geometric Analysis 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Dynamics and Differential Equations 5 Potential Analysis 5 Abstract and Applied Analysis 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 5 Communications on Pure and Applied Analysis 4 Journal of Computational Physics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Ricerche di Matematica 4 Russian Mathematics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Lobachevskii Journal of Mathematics 4 Annales Henri Poincaré 4 Complex Variables and Elliptic Equations 3 Journal of Engineering Mathematics 3 Journal of Optimization Theory and Applications 3 Kodai Mathematical Journal 3 Quarterly of Applied Mathematics 3 Results in Mathematics 3 Studies in Applied Mathematics 3 Tohoku Mathematical Journal. Second Series 3 Physica D 3 Acta Mathematicae Applicatae Sinica. English Series 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Japan Journal of Industrial and Applied Mathematics 3 Computational Mathematics and Mathematical Physics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Electronic Journal of Differential Equations (EJDE) 3 Mathematical Problems in Engineering 3 Computational Methods and Function Theory 3 Advances in Difference Equations 3 Journal of Spectral Theory 2 Journal of Statistical Physics 2 Nonlinearity 2 Ukrainian Mathematical Journal 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Optimization 2 Computing 2 Journal of Geometry 2 Journal of the London Mathematical Society. Second Series 2 Numerical Functional Analysis and Optimization 2 Pacific Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Proceedings of the London Mathematical Society. Third Series 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematica Hungarica 2 Probability Theory and Related Fields 2 Journal of Complexity ...and 124 more Serials all top 5 Cited in 46 Fields 1,103 Partial differential equations (35-XX) 142 Ordinary differential equations (34-XX) 89 Calculus of variations and optimal control; optimization (49-XX) 83 Global analysis, analysis on manifolds (58-XX) 78 Numerical analysis (65-XX) 75 Operator theory (47-XX) 49 Differential geometry (53-XX) 47 Fluid mechanics (76-XX) 34 Functions of a complex variable (30-XX) 33 Real functions (26-XX) 31 Functional analysis (46-XX) 30 Probability theory and stochastic processes (60-XX) 30 Biology and other natural sciences (92-XX) 29 Potential theory (31-XX) 29 Mechanics of deformable solids (74-XX) 25 Integral equations (45-XX) 23 Convex and discrete geometry (52-XX) 21 Statistical mechanics, structure of matter (82-XX) 13 Difference and functional equations (39-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Quantum theory (81-XX) 6 Special functions (33-XX) 6 Geometry (51-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Manifolds and cell complexes (57-XX) 3 Computer science (68-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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