## Kawohl, Bernd

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 Author ID: kawohl.bernd Published as: Kawohl, Bernd; Kawohl, Bernhard; Kawohl, B.; Kawohl, B more...less Homepage: http://www.mi.uni-koeln.de/mi/Forschung/Kawohl/kawohl/index.html External Links: MGP · dblp · GND
 Documents Indexed: 145 Publications since 1978, including 2 Books 3 Contributions as Editor Co-Authors: 59 Co-Authors with 87 Joint Publications 1,763 Co-Co-Authors
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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 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 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

119 Publications have been cited 2,206 times in 1,608 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
Characterization of Cheeger sets for convex subsets of the plane. Zbl 1133.52002
Kawohl, Bernd; Lachand-Robert, Thomas
2006
Dirichlet problems for the 1-Laplace operator, including the eigenvalue problem. Zbl 1146.35023
Kawohl, Bernd; Schuricht, Friedemann
2007
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
The pseudo-$$p$$-Laplace eigenvalue problem and viscosity solutions as $$p\to\infty$$. Zbl 1092.35074
Belloni, Marino; Kawohl, Bernd
2004
Remarks on a Finsler-Laplacian. Zbl 1161.35017
Ferone, Vincenzo; Kawohl, Bernd
2009
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
Maximum and comparison principle for one-dimensional anisotropic diffusion. Zbl 0909.35025
Kawohl, Bernd; Kutev, Nikolai
1998
Solutions of nonlinear PDEs in the sense of averages. Zbl 1236.35083
Kawohl, Bernd; Manfredi, Juan; Parviainen, Mikko
2012
Positive eigenfunctions for the $$p$$-Laplace operator revisited. Zbl 1136.35063
Kawohl, Bernd; Lindqvist, Peter
2006
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
Simplicity of the principal eigenvalue for indefinite quasilinear problems. Zbl 1158.35069
Kawohl, Bernd; Lucia, Marcello; Prashanth, S.
2007
Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions. Zbl 0617.35064
Kawohl, Bernhard
1987
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
A symmetry problem in the calculus of variations. Zbl 0856.49018
Brock, F.; Ferone, V.; Kawohl, B.
1996
Remarks on quenching. Zbl 0676.35021
Acker, Andrew F.; Kawohl, Bernhard
1989
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
On Newton’s problem of minimal resistance. Zbl 0800.49038
Buttazzo, Giuseppe; Kawohl, Bernhard
1993
On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems. Zbl 0603.49030
Kawohl, Bernhard
1986
The $$p$$-Laplace eigenvalue problem as $$p\to 1$$ and Cheeger sets in a Finsler metric. Zbl 1186.35115
Kawohl, B; Novaga, M
2008
The longest shortest fence and sharp Poincaré-Sobolev inequalities. Zbl 1262.52001
Esposito, L.; Ferone, V.; Kawohl, B.; Nitsch, C.; Trombetti, C.
2012
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
The $$p$$-Laplace eigenvalue problem as $$p\to\infty$$ in a Finsler metric. Zbl 1245.35078
Belloni, M.; Kawohl, B.; Juutinen, P.
2006
Comparison principle and Lipschitz regularity for viscosity solutions of some classes of nonlinear partial differential equations. Zbl 1142.35315
Kawohl, Bernhard; Kutev, Nikolay
2000
Overdetermined boundary value problems for the $$\infty$$-Laplacian. Zbl 1219.35145
Buttazzo, Giuseppe; Kawohl, Bernd
2011
When are solutions to nonlinear elliptic boundary value problems convex? Zbl 0587.35026
Kawohl, Bernhard
1985
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
Quenching for quasilinear equations. Zbl 0801.35057
Fila, Marek; Kawohl, Bernhard; Levine, Howard A.
1992
The elastica problem under area constraint. Zbl 1345.49049
Ferone, Vincenzo; Kawohl, Bernd; Nitsch, Carlo
2016
A symmetry problem related to Wirtinger’s and Poincaré’s inequality. Zbl 0954.26005
Belloni, M.; Kawohl, B.
1999
Variations on the $$p$$-Laplacian. Zbl 1241.35109
Kawohl, Bernd
2011
Asymptotic analysis of quenching problems. Zbl 0798.35079
Fila, Marek; Kawohl, Bernhard
1992
Some nonconvex shape optimization problems. Zbl 0982.49024
Kawohl, Bernd
2000
Gradient estimates for solutions of parabolic equations and systems. Zbl 0708.35018
Engler, Hans; Kawohl, Bernhard; Luckhaus, Stephan
1990
Comparison principle for viscosity solutions of fully nonlinear, degenerate elliptic equations. Zbl 1185.35084
Kawohl, B.; Kutev, N.
2007
On ‘anti’-eigenvalues for elliptic systems and a question of McKenna and Walter. Zbl 1037.35047
Kawohl, Bernd; Sweers, Guido
2002
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
Mini-workshop: The $$p$$-Laplacian operator and applications. Abstracts from the workshop held February 10–16, 2013. Zbl 1349.00144
2013
On the geometry of the $$p$$-Laplacian operator. Zbl 1368.35151
Kawohl, Bernd; Horák, Jiří
2017
Radial eigenfunctions for the game-theoretic $$p$$-Laplacian on a ball. Zbl 1340.35242
Kawohl, Bernd; Krömer, Stefan; Kurtz, Jannis
2014
The Neumann eigenvalue problem for the $$\infty$$-Laplacian. Zbl 1321.35120
Esposito, L.; Kawohl, B.; Nitsch, C.; Trombetti, C.
2015
Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition. Zbl 1194.35055
Fila, Marek; Kawohl, Bernd
2001
On degenerate diffusion with very strong absorption. Zbl 0810.35047
Kawohl, Bernhard; Kersner, Robert
1992
Remarks on quenching. Zbl 0866.35057
Kawohl, Bernd
1996
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
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
Symmetry or not? Zbl 0947.00004
Kawohl, Bernd
1998
Is quenching in infinite time possible? Zbl 0737.35005
Fila, Marek; Kawohl, Bernhard
1990
From Mumford-Shah to Perona-Malik in image processing. Zbl 1060.35054
Kawohl, B.
2004
On some nonlocal variational problems. Zbl 1115.49007
Chipot, Michel; Gangbo, Wilfrid; Kawohl, Bernd
2006
Best constants in some exponential Sobolev inequalities. Zbl 1170.46033
Kawohl, Bernd; Lucia, Marcello
2008
On a class of singular elliptic equations. Zbl 0821.35053
Kawohl, B.
1992
Global behaviour of solutions to a parabolic mean curvature equation. Zbl 0844.35050
Kawohl, Bernd; Kutev, Nickolai
1995
From $$p$$-Laplace to mean curvature operator and related questions. Zbl 0798.35053
Kawohl, B.
1991
Log-concavity in some parabolic problems. Zbl 0921.35030
Greco, Antonio; Kawohl, Bernd
1999
Overdetermined problems for the normalized $$p$$-Laplacian. Zbl 1394.35294
Banerjee, Agnid; Kawohl, Bernd
2018
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
Starshapedness of level sets for the obstacle problem and for the capacitory potential problem. Zbl 0556.35051
Kawohl, Bernhard
1983
On the optimal insulation of conductors. Zbl 0915.90264
Cox, S. J.; Kawohl, B.; Uhlig, P. X.
1999
Overdetermined problems and the $$p$$-Laplacian. Zbl 1138.35069
Kawohl, Bernd
2007
On the convexity of some free boundaries. Zbl 1180.35578
Greco, Antonio; Kawohl, Bernd
2009
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations. Zbl 1265.35076
Kawohl, Bernd; Kutev, Nikolai
2012
A geometric property of level sets of solutions to semilinear elliptic Dirichlet problems. Zbl 0507.35035
Kawohl, Bernhard
1983
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
Viscosity solutions for degenerate and nonmonotone elliptic equations. Zbl 0960.35040
Kawohl, Bernd; Kutev, Nikolay
1999
An isoperimetric inequality related to a Bernoulli problem. Zbl 1202.35357
Daners, Daniel; Kawohl, Bernd
2010
Rearrangements and fourth order equations. Zbl 1053.35049
Ferone, Vincenzo; Kawohl, Bernd
2003
Remarks on some old and current eigenvalue problems. Zbl 0827.35083
Kawohl, Bernhard
1994
Newton’s aerodynamic problem in the presence of friction. Zbl 1003.49030
Horstmann, Dirk; Kawohl, Bernd; Villaggio, Piero
2002
Qualitative properties of solutions to semilinear heat equations. Zbl 0603.35054
Kawohl, Bernhard
1986
Two dimensions are easier. Zbl 1352.49047
Kawohl, B.
2016
On the differential equation $$u_{xxxx} + u_{yyyy} = f$$ for an anisotropic stiff material. Zbl 1105.35126
Kawohl, B.; Sweers, G.
2006
Convergent finite elements for a class of nonconvex variational problems. Zbl 0908.65052
Kawohl, Bernhard; Schwab, Christoph
1998
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
Gamma limits in some Bernoulli free boundary problem. Zbl 1095.35080
Kawohl, Bernd; Shahgholian, Henrik
2005
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
First eigenfunctions of the 1-Laplacian are viscosity solutions. Zbl 1322.35106
Kawohl, Bernd; Schuricht, Friedemann
2015
The opaque square and the opaque circle. Zbl 0907.68135
Kawohl, Bernd
1997
On Liouville-theorem, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems. Zbl 0421.35023
Kawohl, Bernd
1980
A Liouville comparison principle for solutions of singular quasilinear elliptic second-order partial differential inequalities. Zbl 1229.35025
Kawohl, Bernd; Kurta, Vasilii
2011
On nonlinear mixed boundary value problems for second order elliptic differential equations on domains with corners. Zbl 0463.35034
Kawohl, Bernhard
1980
Geometrical properties of level sets of solutions of elliptic problems. Zbl 0597.35016
Kawohl, Bernhard
1986
Coerciveness for second-order elliptic differential equations with unilateral constraints. Zbl 0373.35023
Kawohl, Bernhard
1978
A paper of Legendre revisited. Zbl 0886.49001
Belloni, Marino; Kawohl, Bernd
1997
On nonlinear parabolic equations with abruptly changing nonlinear boundary conditions. Zbl 0468.35050
Kawohl, Bernhard
1981
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
Jump discontinuous viscosity solutions to second order degenerate elliptic equations. Zbl 1351.35036
Chobanov, G.; Kawohl, B.; Kutev, N.
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
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
On the optimal insulation of conductors. Zbl 0915.90264
Cox, S. J.; Kawohl, B.; Uhlig, P. X.
1999
Viscosity solutions for degenerate and nonmonotone elliptic equations. Zbl 0960.35040
Kawohl, Bernd; Kutev, Nikolay
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? (Was ist eine runde Sache?) 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
Instability criteria for solutions of second order elliptic quasilinear differential equations. Zbl 0854.35012
Kawohl, B.
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 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
On Newton’s problem of minimal resistance. Zbl 0800.49038
Buttazzo, Giuseppe; Kawohl, Bernhard
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
On radial symmetry and uniqueness of positive solutions of a degenerate elliptic eigenvalue problem. Zbl 0663.35056
Kawohl, B.; Longinetti, M.
1988
Some qualitative properties of nonlinear partial differential equations. Zbl 0666.35035
Kawohl, Bernhard
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
...and 19 more Documents
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### Cited by 1,654 Authors

 47 Kawohl, Bernd 23 Trombetti, Cristina 21 Cianchi, Andrea 19 Fragalà, Ilaria 19 Rossi, Julio Daniel 18 Brock, Friedemann 18 Mercaldo, Anna 18 Nitsch, Carlo 17 Mihăilescu, Mihai 17 Salani, Paolo 16 Crasta, Graziano 16 Ferone, Vincenzo 15 Ercole, Grey 13 Porru, Giovanni 13 Qin, Yuming 12 Chiacchio, Francesco 12 Figueiredo, Giovany Malcher 12 Nazarov, Alexander I. 12 Plakhov, A. Yu 12 Rădulescu, Vicenţiu D. 11 Drábek, Pavel 11 Ducomet, Bernard 11 Gavitone, Nunzia 11 Henrot, Antoine 11 Novaga, Matteo 10 Brasco, Lorenzo 10 Della Pietra, Francesco 10 Ishige, Kazuhiro 10 Parviainen, Mikko 10 Pimenta, Marcos T. O. 10 Sweers, Guido H. 9 Brandolini, Barbara 9 Charro, Fernando 9 Dehghan Takht Fooladi, Mehdi 9 Di Blasio, Giuseppina 9 Diaz Diaz, Jesus Ildefonso 9 Greco, Antonio 9 Lindgren, Erik 9 Lucia, Marcello 9 Ma, Xi-Nan 9 Poláčik, Peter 9 Segura de León, Sergio 9 Vazquez, Juan Luis 8 Bucur, Dorin 8 Casado-Díaz, Juan 8 Ciraolo, Giulio 8 Emamizadeh, Behrouz 8 Parini, Enea 8 Steinerberger, Stefan 7 Alberico, Angela 7 Alvino, Angelo 7 Anoop, Thazhe Veetil 7 Bellettini, Giovanni 7 Bobkov, Vladimir E. 7 Fusco, Nicola 7 Gazzola, Filippo 7 Juutinen, Petri 7 Leonardi, Gian Paolo 7 Liao, Yongkai 7 Posteraro, Maria Rosaria 7 Sakaguchi, Shigeru 7 Salort, Ariel Martin 7 Saracco, Giorgio 7 Schuricht, Friedemann 7 Souplet, Philippe 7 Wen, Huanyao 7 Yao, Zhengan 7 Zhu, Changjiang 6 Attouchi, Amal 6 Byeon, Jaeyoung 6 Chambolle, Antonin 6 dos Santos, Gelson C. G. 6 Feo, Filomena 6 Fernández Bonder, Julián 6 Giga, Yoshikazu 6 Kim, Seonghak 6 Li, Fengquan 6 Liu, Xin 6 Manfredi, Juan J. 6 da Silva Montenegro, Marcelo 6 Nečasová, Šárka 6 Qin, Xulong 6 Shahgholian, Henrik 6 Vétois, Jérôme 6 Volzone, Bruno 5 Afrouzi, Ghasem Alizadeh 5 Antontsev, Stanislav Nikolaevich 5 Banerjee, Agnid 5 Bardi, Martino 5 Buoso, Davide 5 Burdzy, Krzysztof 5 Buttazzo, Giuseppe 5 Cuccu, Fabrizio 5 Borges de Oliveira, Hermenegildo 5 Del Pezzo, Leandro M. 5 di Castro, Agnese 5 Enache, Cristian 5 Franzina, Giovanni 5 Giarrusso, Ester 5 Hynd, Ryan ...and 1,554 more Authors
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### Cited in 294 Serials

 102 Journal of Differential Equations 94 Journal of Mathematical Analysis and Applications 87 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 74 Calculus of Variations and Partial Differential Equations 35 Communications in Partial Differential Equations 31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Communications on Pure and Applied Analysis 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 Journal of Functional Analysis 25 Communications in Contemporary Mathematics 24 Proceedings of the American Mathematical Society 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Advances in Mathematics 22 Applicable Analysis 22 Transactions of the American Mathematical Society 21 Mathematische Annalen 20 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Mathematical Methods in the Applied Sciences 18 Archiv der Mathematik 18 NoDEA. Nonlinear Differential Equations and Applications 18 Nonlinear Analysis. Theory, Methods & Applications 17 Archive for Rational Mechanics and Analysis 17 Boundary Value Problems 17 Advances in Calculus of Variations 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Applied Mathematics and Computation 15 The Journal of Geometric Analysis 15 Complex Variables and Elliptic Equations 14 Journal d’Analyse Mathématique 14 SIAM Journal on Mathematical Analysis 13 Mathematische Nachrichten 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Potential Analysis 13 Discrete and Continuous Dynamical Systems 12 Nonlinear Analysis. Real World Applications 11 Applied Mathematics and Optimization 11 Applied Mathematics Letters 10 Computers & Mathematics with Applications 10 Communications on Pure and Applied Mathematics 10 Journal of Mathematical Physics 10 Journal of Computational and Applied Mathematics 10 Manuscripta Mathematica 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Mathematische Zeitschrift 9 Journal of Mathematical Sciences (New York) 9 Journal of the European Mathematical Society (JEMS) 9 Journal of Elliptic and Parabolic Equations 8 Nonlinearity 8 Journal of Scientific Computing 8 Advanced Nonlinear Studies 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Indiana University Mathematics Journal 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Milan Journal of Mathematics 7 Advances in Nonlinear Analysis 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 St. Petersburg Mathematical Journal 6 Journal of Convex Analysis 6 Acta Mathematica Sinica. English Series 5 Journal of Optimization Theory and Applications 5 Monatshefte für Mathematik 5 Numerische Mathematik 5 Ricerche di Matematica 5 Applied Numerical Mathematics 5 Journal of Elasticity 5 Journal of Mathematical Imaging and Vision 5 Journal of Inequalities and Applications 5 Analysis and Applications (Singapore) 5 Mediterranean Journal of Mathematics 5 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Function Spaces 4 Journal of Computational Physics 4 Duke Mathematical Journal 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 Positivity 4 Journal of Mathematical Fluid Mechanics 4 Lobachevskii Journal of Mathematics 4 Journal of Evolution Equations 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Journal of Fixed Point Theory and Applications 4 Science China. Mathematics 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 für die Reine und Angewandte Mathematik 3 Pacific Journal of Mathematics 3 Rendiconti del Seminario Matematico della Università di Padova 3 Results in Mathematics 3 SIAM Journal on Control and Optimization 3 Annals of Global Analysis and Geometry 3 Journal of the American Mathematical Society 3 International Journal of Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Bulletin des Sciences Mathématiques ...and 194 more Serials
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### Cited in 46 Fields

 1,243 Partial differential equations (35-XX) 322 Calculus of variations and optimal control; optimization (49-XX) 132 Fluid mechanics (76-XX) 110 Functional analysis (46-XX) 108 Real functions (26-XX) 96 Numerical analysis (65-XX) 84 Operator theory (47-XX) 80 Convex and discrete geometry (52-XX) 77 Mechanics of deformable solids (74-XX) 72 Differential geometry (53-XX) 57 Global analysis, analysis on manifolds (58-XX) 52 Ordinary differential equations (34-XX) 38 Potential theory (31-XX) 34 Probability theory and stochastic processes (60-XX) 29 Classical thermodynamics, heat transfer (80-XX) 23 Measure and integration (28-XX) 22 Information and communication theory, circuits (94-XX) 21 Computer science (68-XX) 19 Difference and functional equations (39-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Operations research, mathematical programming (90-XX) 16 Integral equations (45-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Combinatorics (05-XX) 13 Biology and other natural sciences (92-XX) 12 Functions of a complex variable (30-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Quantum theory (81-XX) 9 Geometry (51-XX) 8 Systems theory; control (93-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Astronomy and astrophysics (85-XX) 5 History and biography (01-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX)