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## Kawohl, Bernd

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 Author ID: kawohl.bernd Published as: Kawohl, B; Kawohl, B.; Kawohl, Bernd; Kawohl, Bernhard Homepage: http://www.mi.uni-koeln.de/mi/Forschung/Kawohl/kawohl/index.html External Links: MGP · dblp · GND
 Documents Indexed: 148 Publications since 1978, including 2 Books
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#### Co-Authors

 60 single-authored 10 Ferone, Vincenzo 9 Kutev, Nikolai D. 8 Belloni, Marino 8 Sweers, Guido H. 5 Nitsch, Carlo 4 Fila, Marek 3 Buttazzo, Giuseppe 3 Fragalà, Ilaria 3 Lucia, Marcello 2 Cox, Steven J. 2 Esposito, Luca 2 Gazzola, Filippo 2 Greco, Antonio 2 Horstmann, Dirk 2 Juutinen, Petri 2 Krömer, Stefan 2 Kurta, Vasyl’ Vasyl’ovych 2 Levine, Howard Allen 2 Lindqvist, Peter 2 Manfredi, Juan J. 2 Schuricht, Friedemann 2 Stará, Jana 2 Trombetti, Cristina 1 Acker, Andrew F. 1 Alvino, Angelo 1 Banerjee, Agnid 1 Brock, Friedemann 1 Chipot, Michel 1 Chobanov, Georg I. 1 Cianchi, Andrea 1 Crasta, Graziano 1 Daners, Daniel 1 Diaz Diaz, Jesus Ildefonso 1 Diening, Lars 1 Dziuk, Gerhard 1 Engler, Hans 1 Esteban, Maria J. 1 Farina, Alberto 1 Fridman, Vladimir 1 Gangbo, Wilfrid 1 Horák, Jiri V. 1 Kersner, Robert 1 Krejčiřík, David 1 Kurtz, Jannis 1 Lachand-Robert, Thomas 1 Lang, Jan 1 Longinetti, Marco 1 Luckhaus, Stephan 1 Novaga, Matteo 1 Parviainen, Mikko 1 Peletier, Lambertus Adrianus 1 Prashanth, S. 1 Rühl, Roland 1 Schwab, Christoph 1 Shahgholian, Henrik 1 Trombetti, Guido 1 Uhlig, Paul X. 1 Velte, Waldemar 1 Villaggio, Piero 1 Weber, Christof 1 Wittum, Gabriel
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#### Serials

 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 The Mathematical Intelligencer 4 Communications on Pure and Applied Analysis 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Archiv der Mathematik 3 Commentationes Mathematicae Universitatis Carolinae 3 Journal of Differential Equations 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Quarterly of Applied Mathematics 3 Communications in Partial Differential Equations 3 Calculus of Variations and Partial Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal d’Analyse Mathématique 2 Indiana University Mathematics Journal 2 Mathematische Zeitschrift 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Forum Mathematicum 2 Differential and Integral Equations 2 SIAM Journal on Mathematical Analysis 2 Expositiones Mathematicae 2 Journal of Convex Analysis 2 Discrete and Continuous Dynamical Systems 2 Oberwolfach Reports 1 IMA Journal of Numerical Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Rocky Mountain Journal of Mathematics 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Delft Progress Report 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 Acta Mathematica Universitatis Comenianae. New Series 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Pokroky Matematiky, Fyziky & Astronomie 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Mathematical Sciences and Applications 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Research Letters 1 Advances in Differential Equations 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Analysis (München) 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis and Applications (Singapore) 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Journal of Elliptic and Parabolic Equations 1 Proceedings of the American Mathematical Society. Series B
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#### Fields

 117 Partial differential equations (35-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 14 Mechanics of deformable solids (74-XX) 13 Convex and discrete geometry (52-XX) 10 Real functions (26-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 4 Potential theory (31-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 2 Measure and integration (28-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

117 Publications have been cited 2,000 times in 1,456 Documents Cited by Year
Rearrangements and convexity of level sets in PDE. Zbl 0593.35002
Kawohl, Bernhard
1985
Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas. Zbl 0579.35052
Kawohl, Bernhard
1985
Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2004
On a family of torsional creep problems. Zbl 0701.35015
Kawohl, Bernhard
1990
Isoperimetric estimates for the first eigenvalue of the $$p$$-Laplace operator and the Cheeger constant. Zbl 1105.35029
Kawohl, B.; Fridman, V.
2003
Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators. Zbl 1099.35509
Belloni, M.; Ferone, V.; Kawohl, B.
2003
A direct uniqueness proof for equations involving the $$p$$-Laplace operator. Zbl 1100.35032
Belloni, M.; Kawohl, B.
2002
Dirichlet problems for the 1-Laplace operator, including the eigenvalue problem. Zbl 1146.35023
Kawohl, Bernd; Schuricht, Friedemann
2007
Characterization of Cheeger sets for convex subsets of the plane. Zbl 1133.52002
Kawohl, Bernd; Lachand-Robert, Thomas
2006
Remarks on an overdetermined boundary value problem. Zbl 1166.35353
Farina, A.; Kawohl, B.
2008
Overdetermined problems with possibly degenerate ellipticity, a geometric approach. Zbl 1220.35077
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2006
Minimum problems over sets of concave functions and related questions. Zbl 0835.49001
Buttazzo, Giuseppe; Ferone, Vincenzo; Kawohl, Bernhard
1995
On the evolution governed by the infinity Laplacian. Zbl 1110.35037
Juutinen, Petri; Kawohl, Bernd
2006
Remarks on a Finsler-Laplacian. Zbl 1161.35017
Ferone, Vincenzo; Kawohl, Bernd
2009
The pseudo-$$p$$-Laplace eigenvalue problem and viscosity solutions as $$p\to\infty$$. Zbl 1092.35074
Belloni, Marino; Kawohl, Bernd
2004
Maximum and comparison principle for one-dimensional anisotropic diffusion. Zbl 0909.35025
Kawohl, Bernd; Kutev, Nikolai
1998
Positive eigenfunctions for the $$p$$-Laplace operator revisited. Zbl 1136.35063
Kawohl, Bernd; Lindqvist, Peter
2006
Solutions of nonlinear PDEs in the sense of averages. Zbl 1236.35083
Kawohl, Bernd; Manfredi, Juan; Parviainen, Mikko
2012
Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions. Zbl 0617.35064
Kawohl, Bernhard
1987
Symmetry results for functions yielding best constants in Sobolev-type inequalities. Zbl 1157.35342
Kawohl, Bernhard
2000
Analysis and numerical studies of a problem of shape design. Zbl 0726.65071
Kawohl, Bernhard; Stara, Jana; Wittum, Gabriel
1991
Observations on blow up and dead cores for nonlinear parabolic equations. Zbl 0661.35053
Kawohl, B.; Peletier, L.
1989
Strong maximum principle for semicontinuous viscosity solutions of nonlinear partial differential equations. Zbl 0907.35008
Kawohl, Bernd; Kutev, Nikolai
1998
On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems. Zbl 0603.49030
Kawohl, Bernhard
1986
Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069
Kawohl, Bernd; Lucia, Marcello; Prashanth, S.
2007
A symmetry problem in the calculus of variations. Zbl 0856.49018
Brock, F.; Ferone, V.; Kawohl, B.
1996
On Newton’s problem of minimal resistance. Zbl 0800.49038
Buttazzo, Giuseppe; Kawohl, Bernhard
1993
Remarks on quenching. Zbl 0676.35021
Acker, Andrew F.; Kawohl, Bernhard
1989
The longest shortest fence and sharp Poincaré-Sobolev inequalities. Zbl 1262.52001
Esposito, L.; Ferone, V.; Kawohl, B.; Nitsch, C.; Trombetti, C.
2012
The $$p$$-Laplace eigenvalue problem as $$p\to 1$$ and Cheeger sets in a Finsler metric. Zbl 1186.35115
Kawohl, B; Novaga, M
2008
On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings. Zbl 0802.35087
Diaz, J. I.; Kawohl, B.
1993
A remark on N. Korevaar’s concavity maximum principle and on the asymptotic uniqueness of solutions to the plasma problem. Zbl 0616.35006
Kawohl, B.
1986
Overdetermined boundary value problems for the $$\infty$$-Laplacian. Zbl 1219.35145
Buttazzo, Giuseppe; Kawohl, Bernd
2011
Comparison principle and Lipschitz regularity for viscosity solutions of some classes of nonlinear partial differential equations. Zbl 1142.35315
Kawohl, Bernhard; Kutev, Nikolay
2000
When are solutions to nonlinear elliptic boundary value problems convex? Zbl 0587.35026
Kawohl, Bernhard
1985
The $$p$$-Laplace eigenvalue problem as $$p\to\infty$$ in a Finsler metric. Zbl 1245.35078
Belloni, M.; Kawohl, B.; Juutinen, P.
2006
On rotationally symmetric mean curvature flow. Zbl 0749.53001
Dziuk, G.; Kawohl, B.
1991
Symmetrization – or how to prove symmetry of solutions to a PDE. Zbl 0933.35013
Kawohl, B.
2000
Variations on the $$p$$-Laplacian. Zbl 1241.35109
Kawohl, Bernd
2011
Some nonconvex shape optimization problems. Zbl 0982.49024
Kawohl, Bernd
2000
Quenching for quasilinear equations. Zbl 0801.35057
Fila, Marek; Kawohl, Bernhard; Levine, Howard A.
1992
A symmetry problem related to Wirtinger’s and Poincaré’s inequality. Zbl 0954.26005
Belloni, M.; Kawohl, B.
1999
Asymptotic analysis of quenching problems. Zbl 0798.35079
Fila, Marek; Kawohl, Bernhard
1992
On ‘anti’-eigenvalues for elliptic systems and a question of McKenna and Walter. Zbl 1037.35047
Kawohl, Bernd; Sweers, Guido
2002
Gradient estimates for solutions of parabolic equations and systems. Zbl 0708.35018
Engler, Hans; Kawohl, Bernhard; Luckhaus, Stephan
1990
The Neumann eigenvalue problem for the $$\infty$$-Laplacian. Zbl 1321.35120
Esposito, L.; Kawohl, B.; Nitsch, C.; Trombetti, C.
2015
Radial eigenfunctions for the game-theoretic $$p$$-Laplacian on a ball. Zbl 1340.35242
Kawohl, Bernd; Krömer, Stefan; Kurtz, Jannis
2014
Comparison principle for viscosity solutions of fully nonlinear, degenerate elliptic equations. Zbl 1185.35084
Kawohl, B.; Kutev, N.
2007
Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition. Zbl 1194.35055
Fila, Marek; Kawohl, Bernd
2001
Symmetry or not? Zbl 0947.00004
Kawohl, Bernd
1998
Remarks on quenching. Zbl 0866.35057
Kawohl, Bernd
1996
On degenerate diffusion with very strong absorption. Zbl 0810.35047
Kawohl, Bernhard; Kersner, Robert
1992
On the geometry of the $$p$$-Laplacian operator. Zbl 1368.35151
Kawohl, Bernd; Horák, Jiří
2017
The elastica problem under area constraint. Zbl 1345.49049
Ferone, Vincenzo; Kawohl, Bernd; Nitsch, Carlo
2016
Mini-workshop: The $$p$$-Laplacian operator and applications. Abstracts from the workshop held February 10–16, 2013. Zbl 1349.00144
Diening, Lars (ed.); Lindqvist, Peter (ed.); Kawohl, Bernd (ed.)
2013
Meissner’s mysterious bodies. Zbl 1231.52002
Kawohl, Bernd; Weber, Christof
2011
Variational versus PDE-based approaches in mathematical image processing. Zbl 1144.35401
Kawohl, B.
2008
From Mumford-Shah to Perona-Malik in image processing. Zbl 1060.35054
Kawohl, B.
2004
Buckling eigenvalues for a clamped plate embedded in an elastic medium and related questions. Zbl 0794.35045
Kawohl, Bernhard; Levine, Howard A.; Velte, Waldemar
1993
On a class of singular elliptic equations. Zbl 0821.35053
Kawohl, B.
1992
Is quenching in infinite time possible? Zbl 0737.35005
Fila, Marek; Kawohl, Bernhard
1990
Remarks on eigenvalues and eigenfunctions of a special elliptic system. Zbl 0644.35073
Kawohl, Bernhard; Sweers, Guido
1987
On the location of maxima of the gradient for solutions to quasilinear elliptic problems and a problem raised by Saint Venant. Zbl 0624.73011
Kawohl, Bernhard
1987
Best constants in some exponential Sobolev inequalities. Zbl 1170.46033
Kawohl, Bernd; Lucia, Marcello
2008
Overdetermined problems and the $$p$$-Laplacian. Zbl 1138.35069
Kawohl, Bernd
2007
Log-concavity in some parabolic problems. Zbl 0921.35030
Greco, Antonio; Kawohl, Bernd
1999
From $$p$$-Laplace to mean curvature operator and related questions. Zbl 0798.35053
Kawohl, B.
1991
Overdetermined problems for the normalized $$p$$-Laplacian. Zbl 1394.35294
Banerjee, Agnid; Kawohl, Bernd
2018
On some nonlocal variational problems. Zbl 1115.49007
Chipot, Michel; Gangbo, Wilfrid; Kawohl, Bernd
2006
Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion. Zbl 1016.60073
Kawohl, Bernd; Sweers, Guido
2002
Global behaviour of solutions to a parabolic mean curvature equation. Zbl 0844.35050
Kawohl, Bernd; Kutev, Nickolai
1995
Starshapedness of level sets for the obstacle problem and for the capacitory potential problem. Zbl 0556.35051
Kawohl, Bernhard
1983
A geometric property of level sets of solutions to semilinear elliptic Dirichlet problems. Zbl 0507.35035
Kawohl, Bernhard
1983
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations. Zbl 1265.35076
Kawohl, Bernd; Kutev, Nikolai
2012
On the convexity of some free boundaries. Zbl 1180.35578
Greco, Antonio; Kawohl, Bernd
2009
Viscosity solutions for degenerate and nonmonotone elliptic equations. Zbl 0960.35040
Kawohl, Bernd; Kutev, Nikolay
1999
When are superharmonic functions concave? Applications to the St. Venant torsion problem and to the fundamental mode of the clamped membrane. Zbl 0581.73006
Kawohl, B.
1984
On the differential equation $$u_{xxxx} + u_{yyyy} = f$$ for an anisotropic stiff material. Zbl 1105.35126
Kawohl, B.; Sweers, G.
2006
Rearrangements and fourth order equations. Zbl 1053.35049
Ferone, Vincenzo; Kawohl, Bernd
2003
Convergent finite elements for a class of nonconvex variational problems. Zbl 0908.65052
Kawohl, Bernhard; Schwab, Christoph
1998
Qualitative properties of solutions to semilinear heat equations. Zbl 0603.35054
Kawohl, Bernhard
1986
Geometrical properties of level sets of solutions of elliptic problems. Zbl 0597.35016
Kawohl, Bernhard
1986
Über nichtlineare gemischte Randwertprobleme für elliptische Differentialgleichungen zweiter Ordnung auf Gebieten mit Ecken. Zbl 0415.35030
Kawohl, Bernhard
1978
Uniqueness and symmetry of minimizers of Hartree type equations with external Coulomb potential. Zbl 1255.35023
Kawohl, Bernd; Krömer, Stefan
2012
A Liouville comparison principle for solutions of singular quasilinear elliptic second-order partial differential inequalities. Zbl 1229.35025
Kawohl, Bernd; Kurta, Vasilii
2011
An isoperimetric inequality related to a Bernoulli problem. Zbl 1202.35357
Daners, Daniel; Kawohl, Bernd
2010
Newton’s aerodynamic problem in the presence of friction. Zbl 1003.49030
Horstmann, Dirk; Kawohl, Bernd; Villaggio, Piero
2002
On the optimal insulation of conductors. Zbl 0915.90264
Cox, S. J.; Kawohl, B.; Uhlig, P. X.
1999
The opaque square and the opaque circle. Zbl 0907.68135
Kawohl, Bernd
1997
Remarks on some old and current eigenvalue problems. Zbl 0827.35083
Kawohl, Bernhard
1994
Remarks on quenching, blow up and dead cores. Zbl 0792.35082
Kawohl, Bernhard
1992
On starshaped rearrangement and applications. Zbl 0612.35033
Kawohl, Bernhard
1986
On nonlinear mixed boundary value problems for second order elliptic differential equations on domains with corners. Zbl 0463.35034
Kawohl, Bernhard
1980
On Liouville-theorem, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems. Zbl 0421.35023
Kawohl, Bernd
1980
Two dimensions are easier. Zbl 1352.49047
Kawohl, B.
2016
First eigenfunctions of the 1-Laplacian are viscosity solutions. Zbl 1322.35106
Kawohl, Bernd; Schuricht, Friedemann
2015
Gamma limits in some Bernoulli free boundary problem. Zbl 1095.35080
Kawohl, Bernd; Shahgholian, Henrik
2005
A paper of Legendre revisited. Zbl 0886.49001
Belloni, Marino; Kawohl, Bernd
1997
On the simple shape of stable equilibria. Zbl 0703.34048
Kawohl, Bernhard
1989
On a mixed Signorini problem. Zbl 0442.49009
Kawohl, Bernhard
1979
On the first eigenvalue of the normalized $$p$$-Laplacian. Zbl 1435.35184
Crasta, Graziano; Fragalà, Ilaria; Kawohl, Bernd
2020
Overdetermined problems for the normalized $$p$$-Laplacian. Zbl 1394.35294
Banerjee, Agnid; Kawohl, Bernd
2018
Generalized elastica problems under area constraint. Zbl 1401.49062
Ferone, Vincenzo; Kawohl, Bernd; Nitsch, Carlo
2018
On the geometry of the $$p$$-Laplacian operator. Zbl 1368.35151
Kawohl, Bernd; Horák, Jiří
2017
The elastica problem under area constraint. Zbl 1345.49049
Ferone, Vincenzo; Kawohl, Bernd; Nitsch, Carlo
2016
Two dimensions are easier. Zbl 1352.49047
Kawohl, B.
2016
The Neumann eigenvalue problem for the $$\infty$$-Laplacian. Zbl 1321.35120
Esposito, L.; Kawohl, B.; Nitsch, C.; Trombetti, C.
2015
First eigenfunctions of the 1-Laplacian are viscosity solutions. Zbl 1322.35106
Kawohl, Bernd; Schuricht, Friedemann
2015
More on the potential for the farthest-point distance function. Zbl 1319.31008
Kawohl, Bernd; Nitsch, Carlo; Sweers, Guido
2015
Radial eigenfunctions for the game-theoretic $$p$$-Laplacian on a ball. Zbl 1340.35242
Kawohl, Bernd; Krömer, Stefan; Kurtz, Jannis
2014
Mini-workshop: The $$p$$-Laplacian operator and applications. Abstracts from the workshop held February 10–16, 2013. Zbl 1349.00144
Diening, Lars (ed.); Lindqvist, Peter (ed.); Kawohl, Bernd (ed.)
2013
Solutions of nonlinear PDEs in the sense of averages. Zbl 1236.35083
Kawohl, Bernd; Manfredi, Juan; Parviainen, Mikko
2012
The longest shortest fence and sharp Poincaré-Sobolev inequalities. Zbl 1262.52001
Esposito, L.; Ferone, V.; Kawohl, B.; Nitsch, C.; Trombetti, C.
2012
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations. Zbl 1265.35076
Kawohl, Bernd; Kutev, Nikolai
2012
Uniqueness and symmetry of minimizers of Hartree type equations with external Coulomb potential. Zbl 1255.35023
Kawohl, Bernd; Krömer, Stefan
2012
The longest shortest piercing. Zbl 1253.52004
Kawohl, Bernd; Kurta, Vasilii V.
2012
Overdetermined boundary value problems for the $$\infty$$-Laplacian. Zbl 1219.35145
Buttazzo, Giuseppe; Kawohl, Bernd
2011
Variations on the $$p$$-Laplacian. Zbl 1241.35109
Kawohl, Bernd
2011
Meissner’s mysterious bodies. Zbl 1231.52002
Kawohl, Bernd; Weber, Christof
2011
A Liouville comparison principle for solutions of singular quasilinear elliptic second-order partial differential inequalities. Zbl 1229.35025
Kawohl, Bernd; Kurta, Vasilii
2011
An isoperimetric inequality related to a Bernoulli problem. Zbl 1202.35357
Daners, Daniel; Kawohl, Bernd
2010
Remarks on a Finsler-Laplacian. Zbl 1161.35017
Ferone, Vincenzo; Kawohl, Bernd
2009
On the convexity of some free boundaries. Zbl 1180.35578
Greco, Antonio; Kawohl, Bernd
2009
Remarks on an overdetermined boundary value problem. Zbl 1166.35353
Farina, A.; Kawohl, B.
2008
The $$p$$-Laplace eigenvalue problem as $$p\to 1$$ and Cheeger sets in a Finsler metric. Zbl 1186.35115
Kawohl, B; Novaga, M
2008
Variational versus PDE-based approaches in mathematical image processing. Zbl 1144.35401
Kawohl, B.
2008
Best constants in some exponential Sobolev inequalities. Zbl 1170.46033
Kawohl, Bernd; Lucia, Marcello
2008
Dirichlet problems for the 1-Laplace operator, including the eigenvalue problem. Zbl 1146.35023
Kawohl, Bernd; Schuricht, Friedemann
2007
Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069
Kawohl, Bernd; Lucia, Marcello; Prashanth, S.
2007
Comparison principle for viscosity solutions of fully nonlinear, degenerate elliptic equations. Zbl 1185.35084
Kawohl, B.; Kutev, N.
2007
Overdetermined problems and the $$p$$-Laplacian. Zbl 1138.35069
Kawohl, Bernd
2007
Characterization of Cheeger sets for convex subsets of the plane. Zbl 1133.52002
Kawohl, Bernd; Lachand-Robert, Thomas
2006
Overdetermined problems with possibly degenerate ellipticity, a geometric approach. Zbl 1220.35077
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2006
On the evolution governed by the infinity Laplacian. Zbl 1110.35037
Juutinen, Petri; Kawohl, Bernd
2006
Positive eigenfunctions for the $$p$$-Laplace operator revisited. Zbl 1136.35063
Kawohl, Bernd; Lindqvist, Peter
2006
The $$p$$-Laplace eigenvalue problem as $$p\to\infty$$ in a Finsler metric. Zbl 1245.35078
Belloni, M.; Kawohl, B.; Juutinen, P.
2006
On some nonlocal variational problems. Zbl 1115.49007
Chipot, Michel; Gangbo, Wilfrid; Kawohl, Bernd
2006
On the differential equation $$u_{xxxx} + u_{yyyy} = f$$ for an anisotropic stiff material. Zbl 1105.35126
Kawohl, B.; Sweers, G.
2006
Gamma limits in some Bernoulli free boundary problem. Zbl 1095.35080
Kawohl, Bernd; Shahgholian, Henrik
2005
Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2004
The pseudo-$$p$$-Laplace eigenvalue problem and viscosity solutions as $$p\to\infty$$. Zbl 1092.35074
Belloni, Marino; Kawohl, Bernd
2004
From Mumford-Shah to Perona-Malik in image processing. Zbl 1060.35054
Kawohl, B.
2004
Isoperimetric estimates for the first eigenvalue of the $$p$$-Laplace operator and the Cheeger constant. Zbl 1105.35029
Kawohl, B.; Fridman, V.
2003
Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators. Zbl 1099.35509
Belloni, M.; Ferone, V.; Kawohl, B.
2003
Rearrangements and fourth order equations. Zbl 1053.35049
Ferone, Vincenzo; Kawohl, Bernd
2003
A direct uniqueness proof for equations involving the $$p$$-Laplace operator. Zbl 1100.35032
Belloni, M.; Kawohl, B.
2002
On ‘anti’-eigenvalues for elliptic systems and a question of McKenna and Walter. Zbl 1037.35047
Kawohl, Bernd; Sweers, Guido
2002
Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion. Zbl 1016.60073
Kawohl, Bernd; Sweers, Guido
2002
Newton’s aerodynamic problem in the presence of friction. Zbl 1003.49030
Horstmann, Dirk; Kawohl, Bernd; Villaggio, Piero
2002
Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition. Zbl 1194.35055
Fila, Marek; Kawohl, Bernd
2001
Symmetry results for functions yielding best constants in Sobolev-type inequalities. Zbl 1157.35342
Kawohl, Bernhard
2000
Comparison principle and Lipschitz regularity for viscosity solutions of some classes of nonlinear partial differential equations. Zbl 1142.35315
Kawohl, Bernhard; Kutev, Nikolay
2000
Symmetrization – or how to prove symmetry of solutions to a PDE. Zbl 0933.35013
Kawohl, B.
2000
Some nonconvex shape optimization problems. Zbl 0982.49024
Kawohl, Bernd
2000
A symmetry problem related to Wirtinger’s and Poincaré’s inequality. Zbl 0954.26005
Belloni, M.; Kawohl, B.
1999
Log-concavity in some parabolic problems. Zbl 0921.35030
Greco, Antonio; Kawohl, Bernd
1999
Viscosity solutions for degenerate and nonmonotone elliptic equations. Zbl 0960.35040
Kawohl, Bernd; Kutev, Nikolay
1999
On the optimal insulation of conductors. Zbl 0915.90264
Cox, S. J.; Kawohl, B.; Uhlig, P. X.
1999
Circular symmetrization and extremal Robin conditions. Zbl 0926.35007
Cox, Steven J.; Kawohl, Bernhard
1999
Maximum and comparison principle for one-dimensional anisotropic diffusion. Zbl 0909.35025
Kawohl, Bernd; Kutev, Nikolai
1998
Strong maximum principle for semicontinuous viscosity solutions of nonlinear partial differential equations. Zbl 0907.35008
Kawohl, Bernd; Kutev, Nikolai
1998
Symmetry or not? Zbl 0947.00004
Kawohl, Bernd
1998
Convergent finite elements for a class of nonconvex variational problems. Zbl 0908.65052
Kawohl, Bernhard; Schwab, Christoph
1998
What constitutes rotundity? Zbl 1022.00007
Kawohl, Bernd
1998
The opaque square and the opaque circle. Zbl 0907.68135
Kawohl, Bernd
1997
A paper of Legendre revisited. Zbl 0886.49001
Belloni, Marino; Kawohl, Bernd
1997
Are some optimal shape problems convex? Zbl 0897.49002
Kawohl, Bernd; Lang, Jan
1997
A symmetry problem in the calculus of variations. Zbl 0856.49018
Brock, F.; Ferone, V.; Kawohl, B.
1996
Remarks on quenching. Zbl 0866.35057
Kawohl, Bernd
1996
A short note on hot spots. Zbl 0900.35159
Kawohl, B.
1996
Minimum problems over sets of concave functions and related questions. Zbl 0835.49001
Buttazzo, Giuseppe; Ferone, Vincenzo; Kawohl, Bernhard
1995
Global behaviour of solutions to a parabolic mean curvature equation. Zbl 0844.35050
Kawohl, Bernd; Kutev, Nickolai
1995
Remarks on some old and current eigenvalue problems. Zbl 0827.35083
Kawohl, Bernhard
1994
On the shape of solutions to some variational problems. Zbl 0841.49022
Kawohl, Bernd
1994
On Newton’s problem of minimal resistance. Zbl 0800.49038
Buttazzo, Giuseppe; Kawohl, Bernhard
1993
On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings. Zbl 0802.35087
Diaz, J. I.; Kawohl, B.
1993
Buckling eigenvalues for a clamped plate embedded in an elastic medium and related questions. Zbl 0794.35045
Kawohl, Bernhard; Levine, Howard A.; Velte, Waldemar
1993
Quenching for quasilinear equations. Zbl 0801.35057
Fila, Marek; Kawohl, Bernhard; Levine, Howard A.
1992
Asymptotic analysis of quenching problems. Zbl 0798.35079
Fila, Marek; Kawohl, Bernhard
1992
On degenerate diffusion with very strong absorption. Zbl 0810.35047
Kawohl, Bernhard; Kersner, Robert
1992
On a class of singular elliptic equations. Zbl 0821.35053
Kawohl, B.
1992
Remarks on quenching, blow up and dead cores. Zbl 0792.35082
Kawohl, Bernhard
1992
Analysis and numerical studies of a problem of shape design. Zbl 0726.65071
Kawohl, Bernhard; Stara, Jana; Wittum, Gabriel
1991
On rotationally symmetric mean curvature flow. Zbl 0749.53001
Dziuk, G.; Kawohl, B.
1991
From $$p$$-Laplace to mean curvature operator and related questions. Zbl 0798.35053
Kawohl, B.
1991
On a family of torsional creep problems. Zbl 0701.35015
Kawohl, Bernhard
1990
Gradient estimates for solutions of parabolic equations and systems. Zbl 0708.35018
Engler, Hans; Kawohl, Bernhard; Luckhaus, Stephan
1990
Is quenching in infinite time possible? Zbl 0737.35005
Fila, Marek; Kawohl, Bernhard
1990
Regularity, uniqueness and numerical experiments for a relaxed optimal design problem. Zbl 0721.49037
Kawohl, Bernhard
1990
Observations on blow up and dead cores for nonlinear parabolic equations. Zbl 0661.35053
Kawohl, B.; Peletier, L.
1989
Remarks on quenching. Zbl 0676.35021
Acker, Andrew F.; Kawohl, Bernhard
1989
On the simple shape of stable equilibria. Zbl 0703.34048
Kawohl, Bernhard
1989
Some qualitative properties of nonlinear partial differential equations. Zbl 0666.35035
Kawohl, Bernhard
1988
On radial symmetry and uniqueness of positive solutions of a degenerate elliptic eigenvalue problem. Zbl 0663.35056
Kawohl, B.; Longinetti, M.
1988
Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions. Zbl 0617.35064
Kawohl, Bernhard
1987
Remarks on eigenvalues and eigenfunctions of a special elliptic system. Zbl 0644.35073
Kawohl, Bernhard; Sweers, Guido
1987
On the location of maxima of the gradient for solutions to quasilinear elliptic problems and a problem raised by Saint Venant. Zbl 0624.73011
Kawohl, Bernhard
1987
On the convexity and symmetry of solutions to an elliptic free boundary problem. Zbl 0619.35051
Kawohl, Bernhard
1987
On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems. Zbl 0603.49030
Kawohl, Bernhard
1986
A remark on N. Korevaar’s concavity maximum principle and on the asymptotic uniqueness of solutions to the plasma problem. Zbl 0616.35006
Kawohl, B.
1986
...and 17 more Documents
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#### Cited by 1,566 Authors

 47 Kawohl, Bernd 24 Trombetti, Cristina 21 Cianchi, Andrea 20 Rossi, Julio Daniel 18 Fragalà, Ilaria 18 Mercaldo, Anna 17 Salani, Paolo 16 Brock, Friedemann 16 Ferone, Vincenzo 16 Nitsch, Carlo 15 Crasta, Graziano 15 Ercole, Grey 15 Mihăilescu, Mihai 13 Porru, Giovanni 13 Qin, Yuming 12 Drábek, Pavel 12 Nazarov, Alexander I. 12 Rădulescu, Vicenţiu D. 11 Brandolini, Barbara 11 Chiacchio, Francesco 11 Ducomet, Bernard 10 Della Pietra, Francesco 10 Gavitone, Nunzia 10 Ishige, Kazuhiro 10 Novaga, Matteo 10 Plakhov, A. Yu 10 Sweers, Guido H. 9 Charro, Fernando 9 Dehghan Takht Fooladi, Mehdi 9 Di Blasio, Giuseppina 9 Diaz Diaz, Jesus Ildefonso 9 Greco, Antonio 9 Lucia, Marcello 9 Ma, Xi-Nan 9 Poláčik, Peter 8 Brasco, Lorenzo 8 Bucur, Dorin 8 Emamizadeh, Behrouz 8 Figueiredo, Giovany Malcher 8 Henrot, Antoine 8 Lindgren, Erik 8 Parviainen, Mikko 8 Segura de León, Sergio 7 Alberico, Angela 7 Bellettini, Giovanni 7 Byeon, Jaeyoung 7 Ciraolo, Giulio 7 Fusco, Nicola 7 Gazzola, Filippo 7 Juutinen, Petri 7 Li, Fengquan 7 Parini, Enea 7 Pimenta, Marcos T. O. 7 Schuricht, Friedemann 7 Souplet, Philippe 7 Vazquez, Juan Luis 7 Wen, Huanyao 7 Yao, Zhengan 7 Zhu, Changjiang 6 Anoop, T. V. 6 Attouchi, Amal 6 Bobkov, Vladimir E. 6 Casado-Díaz, Juan 6 Chambolle, Antonin 6 Fernández Bonder, Julián 6 Giarrusso, Ester 6 Giga, Yoshikazu 6 Kim, Seonghak 6 Leonardi, Gian Paolo 6 da Silva Montenegro, Marcelo 6 Nečasová, Šárka 6 Posteraro, Maria Rosaria 6 Qin, Xulong 6 Sakaguchi, Shigeru 6 Steinerberger, Stefan 6 Vétois, Jérôme 5 Afrouzi, Ghasem Alizadeh 5 Alvino, Angelo 5 Bardi, Martino 5 Burdzy, Krzysztof 5 Buttazzo, Giuseppe 5 Cuccu, Fabrizio 5 Del Pezzo, Leandro M. 5 di Castro, Agnese 5 Enache, Cristian 5 Feo, Filomena 5 Ferone, Adele 5 Franzina, Giovanni 5 Hynd, Ryan 5 Liao, Yongkai 5 Lindqvist, Peter 5 Liu, Qing 5 Liu, Xin 5 Magnanini, Rolando 5 Messano, Basilio 5 Salort, Ariel Martin 5 Wang, Zhi-Qiang 5 Yan, Baisheng 4 Antontsev, Stanislav Nikolaevich 4 Ashbaugh, Mark S. ...and 1,466 more Authors
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#### Cited in 264 Serials

 96 Journal of Differential Equations 92 Journal of Mathematical Analysis and Applications 88 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 63 Calculus of Variations and Partial Differential Equations 33 Communications in Partial Differential Equations 32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 26 Journal of Functional Analysis 26 Communications on Pure and Applied Analysis 25 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Advances in Mathematics 23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 23 Communications in Contemporary Mathematics 22 Applicable Analysis 22 Annali di Matematica Pura ed Applicata. Serie Quarta 22 Proceedings of the American Mathematical Society 22 Transactions of the American Mathematical Society 21 Nonlinear Analysis. Theory, Methods & Applications 20 Mathematische Annalen 18 Mathematical Methods in the Applied Sciences 17 Archiv der Mathematik 17 NoDEA. Nonlinear Differential Equations and Applications 16 Applied Mathematics and Computation 15 Archive for Rational Mechanics and Analysis 15 Boundary Value Problems 14 Journal d’Analyse Mathématique 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Mathematische Nachrichten 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Potential Analysis 13 Discrete and Continuous Dynamical Systems 13 Complex Variables and Elliptic Equations 12 Journal of Mathematical Physics 12 SIAM Journal on Mathematical Analysis 12 Nonlinear Analysis. Real World Applications 12 Advances in Calculus of Variations 10 Communications on Pure and Applied Mathematics 10 The Journal of Geometric Analysis 9 Journal of Computational and Applied Mathematics 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Journal of Mathematical Sciences (New York) 8 Computers & Mathematics with Applications 8 Applied Mathematics and Optimization 8 Manuscripta Mathematica 8 Mathematische Zeitschrift 8 Journal of the European Mathematical Society (JEMS) 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Nonlinearity 7 Applied Mathematics Letters 7 Journal of Scientific Computing 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Numerical Functional Analysis and Optimization 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Acta Mathematica Sinica. English Series 6 Advanced Nonlinear Studies 6 Milan Journal of Mathematics 6 Advances in Nonlinear Analysis 5 Journal of Optimization Theory and Applications 5 Numerische Mathematik 5 Applied Numerical Mathematics 5 Journal of Elasticity 5 Journal of Mathematical Imaging and Vision 5 Analysis and Applications (Singapore) 5 Mediterranean Journal of Mathematics 5 Journal of Function Spaces 4 Duke Mathematical Journal 4 Monatshefte für Mathematik 4 Ricerche di Matematica 4 Zeitschrift für Analysis und ihre Anwendungen 4 Chinese Annals of Mathematics. Series B 4 Acta Mathematicae Applicatae Sinica. English Series 4 SIAM Journal on Applied Mathematics 4 Bulletin of the American Mathematical Society. New Series 4 St. Petersburg Mathematical Journal 4 Journal of Convex Analysis 4 Bulletin des Sciences Mathématiques 4 Lobachevskii Journal of Mathematics 4 Journal of Evolution Equations 4 Journal of Fixed Point Theory and Applications 4 Discrete and Continuous Dynamical Systems. Series S 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Communications in Mathematical Physics 3 Israel Journal of Mathematics 3 Journal of Computational Physics 3 Journal für die Reine und Angewandte Mathematik 3 Pacific Journal of Mathematics 3 Rendiconti del Seminario Matematico della Università di Padova 3 SIAM Journal on Control and Optimization 3 Journal of the American Mathematical Society 3 International Journal of Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Engineering Analysis with Boundary Elements 3 Positivity 3 Journal of Inequalities and Applications 3 Analysis (München) 3 Science China. Mathematics 3 Journal of Elliptic and Parabolic Equations 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 164 more Serials
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#### Cited in 46 Fields

 1,133 Partial differential equations (35-XX) 294 Calculus of variations and optimal control; optimization (49-XX) 118 Fluid mechanics (76-XX) 102 Functional analysis (46-XX) 100 Real functions (26-XX) 87 Numerical analysis (65-XX) 73 Convex and discrete geometry (52-XX) 71 Operator theory (47-XX) 71 Mechanics of deformable solids (74-XX) 67 Differential geometry (53-XX) 55 Global analysis, analysis on manifolds (58-XX) 42 Ordinary differential equations (34-XX) 35 Potential theory (31-XX) 32 Probability theory and stochastic processes (60-XX) 27 Classical thermodynamics, heat transfer (80-XX) 20 Computer science (68-XX) 18 Measure and integration (28-XX) 18 Information and communication theory, circuits (94-XX) 17 Difference and functional equations (39-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Operations research, mathematical programming (90-XX) 13 Integral equations (45-XX) 12 Biology and other natural sciences (92-XX) 11 Functions of a complex variable (30-XX) 10 Combinatorics (05-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Geometry (51-XX) 8 Quantum theory (81-XX) 8 Systems theory; control (93-XX) 6 Mechanics of particles and systems (70-XX) 6 Optics, electromagnetic theory (78-XX) 6 Astronomy and astrophysics (85-XX) 5 History and biography (01-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX)