## Bandle, Catherine

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 Author ID: bandle.catherine Published as: Bandle, Catherine; Bandle, C.; Bandle, Catherina more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
 Documents Indexed: 163 Publications since 1967, including 1 Book 10 Contributions as Editor Reviewing Activity: 59 Reviews Co-Authors: 69 Co-Authors with 114 Joint Publications 1,834 Co-Co-Authors
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### Co-Authors

 59 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 Valente, Vanda 1 Vergara Caffarelli, Giorgio 1 Vernier-Piro, Stella 1 Walter, Wolfgang 1 Wolanski, Noemi I. 1 Zemp, Beat 1 Zhang, Qi-Shuhuason
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### 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 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 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 Universității 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 1 Monographs and Studies in Mathematics
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### Fields

 144 Partial differential equations (35-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 12 Convex and discrete geometry (52-XX) 10 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 Potential theory (31-XX) 4 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-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)

### Citations contained in zbMATH Open

136 Publications have been cited 2,119 times in 1,479 Documents Cited by Year
Isoperimetric inequalities and applications. Zbl 0436.35063
Bandle, Catherine
1980
‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour. Zbl 0802.35038
Bandle, Catherine; Marcus, Moshe
1992
Blowup in diffusion equations: A survey. Zbl 0932.65098
Bandle, Catherine; Brunner, Hermann
1998
On the existence and nonexistence of global solutions of reaction- diffusion equations in sectorial domains. Zbl 0693.35081
Bandle, Catherine; Levine, Howard A.
1989
Nonlinear elliptic problems in annular domains. Zbl 0618.35043
Bandle, C.; Coffman, C. V.; Marcus, M.
1987
Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary. Zbl 0840.35033
Bandle, Catherine; Marcus, Moshe
1995
Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034
Bandle, Catherine; Giarrusso, Ester
1996
On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems. Zbl 1042.35535
Bandle, Catherine; Marcus, Moshe
1998
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 0857.35034
Bandle, C.; Flucher, M.
1996
Semilinear elliptic problems in annular domains. Zbl 0687.35036
Bandle, C.; Kwong, Man Kam
1989
Existence theorems, qualitative results and priori bounds for a class of non-linear Dirichlet problems. Zbl 0335.35046
Bandle, Catherine
1975
Existence and uniqueness of solutions of nonlinear Neumann problems. Zbl 0633.35042
Bandle, C.; Pozio, M. A.; Tesei, A.
1988
The formation of the dead core in parabolic reaction-diffusion problems. Zbl 0519.35042
Bandle, Catherine; Stakgold, Ivar
1984
Diffusion and reaction with monotone kinetics. Zbl 0545.35011
Bandle, C.; Sperb, R. P.; Stakgold, I.
1984
The asymptotic behavior of the solutions of degenerate parabolic equations. Zbl 0633.35041
Bandle, Catherine; Pozio, M. A.; Tesei, Alberto
1987
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 0726.35041
Bandle, Catherine; Marcus, Moshe
1990
Asymptotic behaviour of large solutions of quasilinear elliptic problems. Zbl 1099.35505
Bandle, C.
2003
On the solutions of quasilinear elliptic problems with boundary blow-up. Zbl 0806.35045
Bandle, Catherine; Essén, Matts
1994
Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary. Zbl 1129.35312
Bandle, Catherine; Marcus, Moshe
2004
Critical exponents of Fujita type for inhomogeneous parabolic equations and systems. Zbl 0968.35019
Bandle, C.; Levine, H. A.; Zhang, Qi S.
2000
On positive solutions of Emden equations in cone-like domains. Zbl 0727.35051
Bandle, Catherine; Essén, Matts
1990
On symmetrizations in parabolic equations. Zbl 0331.35036
Bandle, Catherine
1976
‘Boundary blowup’ type sub-solutions to semilinear elliptic equations with Hardy potential. Zbl 1141.35022
Bandle, Catherine; Moroz, Vitaly; Reichel, Wolfgang
2008
The Fujita exponent for the Cauchy problem in the hyperbolic space. Zbl 1227.35052
Bandle, Catherine; Pozio, Maria Assunta; Tesei, Alberto
2011
Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature. Zbl 0912.35065
Bandle, C.; Brillard, A.; Flucher, M.
1998
The Brézis-Nirenberg problem on $$\mathbb{S}^3$$. Zbl 0995.35027
Bandle, Catherine; Benguria, Rafael
2002
Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up. Zbl 1223.35187
Bandle, Catherine; von Below, Joachim; Reichel, Wolfgang
2006
Best Sobolev constants and Emden equations for the critical exponent in $$S^3$$. Zbl 0932.49023
Bandle, C.; Peletier, L. A.
1999
The positive radial solutions of a class of semilinear elliptic equations. Zbl 0676.35033
Bandle, Catherine; Marcus, Moshe
1989
Numerical analysis of semilinear parabolic problems with blow-up solutions. Zbl 0862.65053
Bandle, C.; Brunner, H.
1994
Large solutions of quasilinear elliptic equations: Existence and qualitative properties. Zbl 0887.35056
Bandle, Catherine; Greco, Antonio; Porru, Giovanni
1997
Existence and nonexistence of patterns on Riemannian manifolds. Zbl 1245.58010
Bandle, Catherine; Punzo, Fabio; Tesei, Alberto
2012
Asymptotic behavior of large solutions of elliptic equations. Zbl 1120.35014
Bandle, Catherine
2005
Konstruktion isoperimetrischer Ungleichungen der mathematischen Physik aus solchen der Geometrie. Zbl 0219.52008
Bandle, C.
1971
Second domain variation for problems with Robin boundary conditions. Zbl 1329.49082
Bandle, Catherine; Wagner, Alfred
2015
Nonlinear elliptic problems with critical exponent in shrinking annuli. Zbl 0619.35044
Bandle, C.; Peletier, L. A.
1988
Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. Zbl 1187.35080
Bandle, Catherine; Moroz, Vitaly; Reichel, Wolfgang
2010
A priori estimates and the boundary values of solutions for a problem arising in plasma physics. Zbl 0509.35032
Bandle, Catherine; Marcus, Moshe
1983
On the positive, “radial” solutions of a semilinear elliptic equation in $$\mathbb {H}^N$$. Zbl 1277.35147
Bandle, Catherine; Kabeya, Yoshitsugu
2012
Solutions of quasilinear second-order elliptic boundary value problems via degree theory. Zbl 1129.35367
Bandle, Catherine; Reichel, Wolfgang
2004
Fujita type results for convective-like reaction diffusion equations in exterior domains. Zbl 0697.76099
Bandle, Catherine; Levine, Howard A.
1989
On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds. Zbl 1338.35175
Bandle, C.; Mastrolia, P.; Monticelli, D. D.; Punzo, F.
2016
Bounds for the solutions of boundary value problems. Zbl 0327.35007
Bandle, Catherine
1976
Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential. Zbl 1381.35045
Bandle, Catherine; Marcus, Moshe; Moroz, Vitaly
2017
Über das Stekloffsche Eigenwertproblem: Isoperimetrische Ungleichungen für symmetrische Gebiete. Zbl 0157.42802
Bandle, C.
1968
On the boundary values of solutions of a problem arising in plasma physics. Zbl 0509.35031
Bandle, Catherine; Marcus, Moshe
1982
Qualitative behavior and bounds in a nonlinear plasma problem. Zbl 0519.35030
Bandle, Catherine; Sperb, Rene P.
1983
Applications of Rellich’s perturbation theory to a classical boundary and eigenvalue problem. Zbl 0278.35069
Bandle, Catherine; Sperb, Rene P.
1973
Multiple clustered layer solutions for semilinear elliptic problems on S$$^n$$. Zbl 1196.35107
Bandle, Catherine; Wei, Juncheng
2008
Porous medium equation with absorption. Zbl 0935.35083
Bandle, Catherine; Nanbu, Tokumori; Stakgold, Ivar
1998
On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations. Zbl 0763.35033
Bandle, Catherine; Leutwiler, Heinz
1991
Fujita type phenomena for reaction-diffusion equations with convection like terms. Zbl 0811.35044
Bandle, Catherine; Levine, Howard A.
1994
Extremaleigenschaften von Kreissektoren und Halbkugeln. (Extremal properties of sectors of a circle and hemispheres). Zbl 0221.52006
Bandle, Catherine
1971
Non-radial clustered spike solutions for semilinear elliptic problems on $$S^N$$. Zbl 1132.35363
Bandle, Catherine; Wei, Juncheng
2007
A linear parabolic problem with non-dissipative dynamical boundary conditions. Zbl 1141.35386
Bandle, C.; Reichel, W.
2006
Table of inequalities in elliptic boundary value problems. Zbl 0914.35042
Bandle, C.; Flucher, M.
1998
Solutions of reaction-diffusion equations blowing up on the parabolic boundary. (Solutions d’équations de réaction-diffusion non linéaires explosant au bord parabolique.) Zbl 0802.35076
Bandle, Catherine; Díaz, Gregorio; Díaz, Jesús Ildefonso
1994
Sublinear elliptic problems with a Hardy potential. Zbl 1318.35049
Bandle, Catherine; Pozio, Maria Assunta
2015
Isoperimetric inequality for some eigenvalues of an inhomogeneous, free membrane. Zbl 0237.35069
Bandle, Catherine
1972
On a differential inequality and its applications to geometry. Zbl 0316.35009
Bandle, Catherine
1976
Estimates for solutions of quasilinear problems with dead cores. Zbl 1039.35031
Bandle, Catherina; Vernier-Piro, Stella
2003
Rayleigh-Faber-Krahn inequalities and quasilinear elliptic boundary value problems. Zbl 1162.35363
Bandle, Catherine
2003
On isoperimetric gradient bounds for Poisson problems and problems of torsional creep. Zbl 0436.35026
Bandle, Catherine
1979
Imperfect bifurcations in nonlinear elliptic equations on spherical caps. Zbl 1202.35096
Bandle, Catherine; Kabeya, Yoshitsugu; Ninomiya, Hirokazu
2010
Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions. Zbl 1328.49041
Bandle, Catherine; Wagner, Alfred
2015
Extensions of an inequality by Pólya and Schiffer for vibrating membranes. Zbl 0217.13301
Bandle, C.
1972
Radial averaging transformations with various metrics. Zbl 0256.53048
Bandle, Catherine; Marcus, Moshe
1973
Mean value theorems for functions satisfying the inequality $$\Delta u +Ke^u \geq 0$$. Zbl 0257.35039
Bandle, Catherine
1973
Bounds for the solutions of Poisson problems and applications to nonlinear eigenvalue problems. Zbl 0291.35024
Bandle, Catherine
1975
Problèmes de Dirichlet non linéaires: une condition suffisante isoperimetrique pour l’existence d’une solution. Zbl 0298.35026
Bandle, Catherine; Hersch, Joseph
1975
Radial averaging transformations and generalized capacities. Zbl 0308.31003
Bandle, Catherine; Marcus, Moshe
1975
Isoperimetric inequalities for a class of nonlinear parabolic equations. Zbl 0324.35051
Bandle, Catherine
1976
Comparison theorems for a class of nonlinear Dirichlet problems. Zbl 0362.35034
Bandle, Catherine; Marcus, Moshe
1977
Equivalence classes for Emden equations. Zbl 1011.34037
Bandle, Catherine; Bordag, Ljudmila A.
2002
Estimates for the Green’s functions of elliptic operators. Zbl 0401.35005
Bandle, Catherine
1978
Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues. Zbl 1385.49011
Bandle, Catherine; Wagner, Alfred
2018
Extremal problems for eigenvalues of the Sturm-Liouville type. Zbl 0638.34019
Bandle, Catherine
1987
Singular perturbation method in a parabolic problem with free boundary. Zbl 0674.35041
Bandle, Catherine; Brauner, Claude-Michel
1986
Problèmes de Dirichlet non-linéaires dans des anneaux. (Nonlinear Dirichlet problems in annuli). Zbl 0608.35019
1986
On the size of the plasma region. Zbl 0494.35040
Bandle, Catherine; Marcus, Moshe
1983
Sur un problème de Dirichlet non linéaire. Zbl 0249.35031
Bandle, Catherine
1973
Symetrisation et équations paraboliques. Zbl 0299.35051
Bandle, Catherine
1975
Isoperimetric inequalities for a nonlinear eigenvalue problem. Zbl 0326.35004
Bandle, Catherine
1976
Un théorème de comparaison pour un problème elliptique avec une non- linearite singuliere. Zbl 0402.35010
Bandle, Catherine; Marcus, Moshe
1978
Large solutions of semilinear elliptic equations with ‘singular’ coefficients. Zbl 0795.35023
Bandle, C.; Marcus, M.
1992
Optimization problems for weighted Sobolev constants. Zbl 1118.49004
Bandle, Catherine; Wagner, Alfred
2007
Nonlinear parabolic equations with sinks and sources. Zbl 0685.35058
Bandle, Catherine; Pozio, Maria Assunta
1988
Blow up in exterior domains. Zbl 0699.35120
Bandle, C.
1989
Reaction-diffusion and dead cores. Zbl 0594.35058
Bandle, C.; Stakgold, I.
1985
Solutions of semilinear elliptic problems in shrinking annuli. Zbl 0702.35088
Bandle, Catherine; Marcus, Moshe
1990
A note on optimal domains in a reaction-diffusion problem. Zbl 0578.35046
Bandle, C.
1985
Application du réarrangement à une inéquation variationnelle. Zbl 0534.49006
Bandle, Catherine; Mossino, Jacqueline
1983
A generalization of the method of interior parallels, and isoperimetric inequalities for membranes with partially free boundaries. Zbl 0233.52007
Bandle, Catherine
1972
Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign. Zbl 1360.35126
Bandle, C.; Wagner, A.
2017
Dido’s problem and its impact on modern mathematics. Zbl 1395.01010
Bandle, Catherine
2017
Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions. Zbl 1167.35012
Bandle, C.; von Below, J.; Reichel, W.
2008
Abschätzung der Randwerte bei nichtlinearen elliptischen Gleichungen aus der Plasmaphysik. Zbl 0469.76115
Bandle, Catherine
1981
Optimization problems for an energy functional with mass constraint revisited. Zbl 1158.49042
Bandle, Catherine; Wagner, Alfred
2009
A Rayleigh-Faber-Krahn inequality and some monotonicity properties for eigenvalue problems with mixed boundary conditions. Zbl 1266.35118
Bandle, Catherine
2009
Positive solutions of semilinear elliptic problems with a Hardy potential. Zbl 1458.35178
Bandle, Catherine; Pozio, Maria Assunta
2020
Positive solutions of semilinear elliptic problems with a Hardy potential. Zbl 1458.35178
Bandle, Catherine; Pozio, Maria Assunta
2020
Erratum to: Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions. Zbl 1447.49059
Bandle, Catherine; Wagner, Alfred
2019
Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues. Zbl 1385.49011
Bandle, Catherine; Wagner, Alfred
2018
A nonlocal diffusion problem on manifolds. Zbl 1405.35066
Bandle, Catherine; del Mar González, María; Fontelos, Marco A.; Wolanski, Noemi
2018
Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential. Zbl 1381.35045
Bandle, Catherine; Marcus, Moshe; Moroz, Vitaly
2017
Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign. Zbl 1360.35126
Bandle, C.; Wagner, A.
2017
Dido’s problem and its impact on modern mathematics. Zbl 1395.01010
Bandle, Catherine
2017
On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds. Zbl 1338.35175
Bandle, C.; Mastrolia, P.; Monticelli, D. D.; Punzo, F.
2016
Second domain variation for problems with Robin boundary conditions. Zbl 1329.49082
Bandle, Catherine; Wagner, Alfred
2015
Sublinear elliptic problems with a Hardy potential. Zbl 1318.35049
Bandle, Catherine; Pozio, Maria Assunta
2015
Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions. Zbl 1328.49041
Bandle, Catherine; Wagner, Alfred
2015
Large solutions in cylindrical domains. Zbl 1304.35032
Bandle, Catherine; Chipot, Michel
2013
Erratum: “On the positive, ‘radial’ solutions of a semilinear elliptic equation in $$\mathbb H^N$$”. Zbl 1277.35146
Bandle, Catherine; Kabeya, Yoshitsugu
2013
Existence and nonexistence of patterns on Riemannian manifolds. Zbl 1245.58010
Bandle, Catherine; Punzo, Fabio; Tesei, Alberto
2012
On the positive, “radial” solutions of a semilinear elliptic equation in $$\mathbb {H}^N$$. Zbl 1277.35147
Bandle, Catherine; Kabeya, Yoshitsugu
2012
Domain derivatives for energy functionals with boundary integrals. Zbl 1253.49030
Bandle, Catherine; Wagner, Alfred
2012
The Fujita exponent for the Cauchy problem in the hyperbolic space. Zbl 1227.35052
Bandle, Catherine; Pozio, Maria Assunta; Tesei, Alberto
2011
Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity. Zbl 1187.35080
Bandle, Catherine; Moroz, Vitaly; Reichel, Wolfgang
2010
Imperfect bifurcations in nonlinear elliptic equations on spherical caps. Zbl 1202.35096
Bandle, Catherine; Kabeya, Yoshitsugu; Ninomiya, Hirokazu
2010
Optimization problems for an energy functional with mass constraint revisited. Zbl 1158.49042
Bandle, Catherine; Wagner, Alfred
2009
A Rayleigh-Faber-Krahn inequality and some monotonicity properties for eigenvalue problems with mixed boundary conditions. Zbl 1266.35118
Bandle, Catherine
2009
Inequalities and applications. Proceedings of the conference on inequalities and applications, Noszvaj, Hungary, September 9–15, 2007. Zbl 1148.26004
2009
‘Boundary blowup’ type sub-solutions to semilinear elliptic equations with Hardy potential. Zbl 1141.35022
Bandle, Catherine; Moroz, Vitaly; Reichel, Wolfgang
2008
Multiple clustered layer solutions for semilinear elliptic problems on S$$^n$$. Zbl 1196.35107
Bandle, Catherine; Wei, Juncheng
2008
Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions. Zbl 1167.35012
Bandle, C.; von Below, J.; Reichel, W.
2008
An eigenvalue problem with mixed boundary conditions and trace theorems. Zbl 1141.35040
Bandle, Catherine
2008
Non-radial clustered spike solutions for semilinear elliptic problems on $$S^N$$. Zbl 1132.35363
Bandle, Catherine; Wei, Juncheng
2007
Optimization problems for weighted Sobolev constants. Zbl 1118.49004
Bandle, Catherine; Wagner, Alfred
2007
Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up. Zbl 1223.35187
Bandle, Catherine; von Below, Joachim; Reichel, Wolfgang
2006
A linear parabolic problem with non-dissipative dynamical boundary conditions. Zbl 1141.35386
Bandle, C.; Reichel, W.
2006
Sobolev constants in disconnected domains. Zbl 1366.49006
Bandle, Catherine; Wagner, Alfred
2006
Asymptotic behavior of large solutions of elliptic equations. Zbl 1120.35014
Bandle, Catherine
2005
Best Sobolev constants and quasi-linear elliptic equations with critical growth on spheres. Zbl 1330.35166
Bandle, C.; Peletier, L. A.; Stingelin, S.
2005
Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary. Zbl 1129.35312
Bandle, Catherine; Marcus, Moshe
2004
Solutions of quasilinear second-order elliptic boundary value problems via degree theory. Zbl 1129.35367
Bandle, Catherine; Reichel, Wolfgang
2004
Asymptotic behaviour of large solutions of quasilinear elliptic problems. Zbl 1099.35505
Bandle, C.
2003
Estimates for solutions of quasilinear problems with dead cores. Zbl 1039.35031
Bandle, Catherina; Vernier-Piro, Stella
2003
Rayleigh-Faber-Krahn inequalities and quasilinear elliptic boundary value problems. Zbl 1162.35363
Bandle, Catherine
2003
The Brézis-Nirenberg problem on $$\mathbb{S}^3$$. Zbl 0995.35027
Bandle, Catherine; Benguria, Rafael
2002
Equivalence classes for Emden equations. Zbl 1011.34037
Bandle, Catherine; Bordag, Ljudmila A.
2002
Boundary value problems for the $$q$$-Laplacian on $$\mathbb{S}^N$$. Zbl 1002.35034
Bandle, C.; Fleckinger, J.; de Thélin, F.
2001
Critical exponents of Fujita type for inhomogeneous parabolic equations and systems. Zbl 0968.35019
Bandle, C.; Levine, H. A.; Zhang, Qi S.
2000
Best Sobolev constants and Emden equations for the critical exponent in $$S^3$$. Zbl 0932.49023
Bandle, C.; Peletier, L. A.
1999
Blowup in diffusion equations: A survey. Zbl 0932.65098
Bandle, Catherine; Brunner, Hermann
1998
On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems. Zbl 1042.35535
Bandle, Catherine; Marcus, Moshe
1998
Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature. Zbl 0912.35065
Bandle, C.; Brillard, A.; Flucher, M.
1998
Porous medium equation with absorption. Zbl 0935.35083
Bandle, Catherine; Nanbu, Tokumori; Stakgold, Ivar
1998
Table of inequalities in elliptic boundary value problems. Zbl 0914.35042
Bandle, C.; Flucher, M.
1998
Large solutions of quasilinear elliptic equations: Existence and qualitative properties. Zbl 0887.35056
Bandle, Catherine; Greco, Antonio; Porru, Giovanni
1997
Boundary blow up for semilinear elliptic equations with nonlinear gradient terms. Zbl 0840.35034
Bandle, Catherine; Giarrusso, Ester
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 0857.35034
Bandle, C.; Flucher, M.
1996
Blow up behaviour of a stochastic partial differential equation of reaction-diffusion type. Zbl 0866.60052
Bandle, C.; Dozzi, M.; Schott, R.
1996
Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary. Zbl 0840.35033
Bandle, Catherine; Marcus, Moshe
1995
On the solutions of quasilinear elliptic problems with boundary blow-up. Zbl 0806.35045
Bandle, Catherine; Essén, Matts
1994
Numerical analysis of semilinear parabolic problems with blow-up solutions. Zbl 0862.65053
Bandle, C.; Brunner, H.
1994
Fujita type phenomena for reaction-diffusion equations with convection like terms. Zbl 0811.35044
Bandle, Catherine; Levine, Howard A.
1994
Solutions of reaction-diffusion equations blowing up on the parabolic boundary. (Solutions d’équations de réaction-diffusion non linéaires explosant au bord parabolique.) Zbl 0802.35076
Bandle, Catherine; Díaz, Gregorio; Díaz, Jesús Ildefonso
1994
Nonlinear elliptic equations involving critical Sobolev exponents: Asymptotic analysis via methods of epi-convergence. Zbl 0808.35031
Bandle, C.; Brillard, A.
1994
Comparison theorems for stochastic differential inequalities and an application to reaction-diffusion equations with random sources. Zbl 0796.60063
Bandle, Catherine; Dozzi, Marco
1994
‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour. Zbl 0802.35038
Bandle, Catherine; Marcus, Moshe
1992
Large solutions of semilinear elliptic equations with ‘singular’ coefficients. Zbl 0795.35023
Bandle, C.; Marcus, M.
1992
A stability analysis for semilinear Neumann problems with concave non- linearities. Zbl 0801.35055
Bandle, C.; Brauner, C. M.; Schmidt-Lainé, C.
1992
Positive solutions of Emden equations in cone-like domains. Zbl 0795.35029
Bandle, Catherine
1992
On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations. Zbl 0763.35033
Bandle, Catherine; Leutwiler, Heinz
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 0726.35041
Bandle, Catherine; Marcus, Moshe
1990
On positive solutions of Emden equations in cone-like domains. Zbl 0727.35051
Bandle, Catherine; Essén, Matts
1990
Solutions of semilinear elliptic problems in shrinking annuli. Zbl 0702.35088
Bandle, Catherine; Marcus, Moshe
1990
On a class of nonlinear Neumann problems. Zbl 0737.35022
Bandle, Catherine; Pozio, Maria Assunta
1990
On the existence and nonexistence of global solutions of reaction- diffusion equations in sectorial domains. Zbl 0693.35081
Bandle, Catherine; Levine, Howard A.
1989
Semilinear elliptic problems in annular domains. Zbl 0687.35036
Bandle, C.; Kwong, Man Kam
1989
The positive radial solutions of a class of semilinear elliptic equations. Zbl 0676.35033
Bandle, Catherine; Marcus, Moshe
1989
Fujita type results for convective-like reaction diffusion equations in exterior domains. Zbl 0697.76099
Bandle, Catherine; Levine, Howard A.
1989
Blow up in exterior domains. Zbl 0699.35120
Bandle, C.
1989
Existence and uniqueness of solutions of nonlinear Neumann problems. Zbl 0633.35042
Bandle, C.; Pozio, M. A.; Tesei, A.
1988
Nonlinear elliptic problems with critical exponent in shrinking annuli. Zbl 0619.35044
Bandle, C.; Peletier, L. A.
1988
Nonlinear parabolic equations with sinks and sources. Zbl 0685.35058
Bandle, Catherine; Pozio, Maria Assunta
1988
Nonlinear elliptic problems in annular domains. Zbl 0618.35043
Bandle, C.; Coffman, C. V.; Marcus, M.
1987
The asymptotic behavior of the solutions of degenerate parabolic equations. Zbl 0633.35041
Bandle, Catherine; Pozio, M. A.; Tesei, Alberto
1987
Extremal problems for eigenvalues of the Sturm-Liouville type. Zbl 0638.34019
Bandle, Catherine
1987
Problème de Neumann non linéaires de types elliptique et parabolique. (Nonlinear Neumann problems of elliptic and parabolic type). Zbl 0638.35033
Bandle, Catherine; Pozio, Maria A.; Tesei, Alberto
1987
On a reaction-diffusion problem with a dead core. Zbl 0661.35049
Bandle, C.
1987
Singular perturbation method in a parabolic problem with free boundary. Zbl 0674.35041
Bandle, Catherine; Brauner, Claude-Michel
1986
Problèmes de Dirichlet non-linéaires dans des anneaux. (Nonlinear Dirichlet problems in annuli). Zbl 0608.35019
1986
Reaction-diffusion and dead cores. Zbl 0594.35058
Bandle, C.; Stakgold, I.
1985
A note on optimal domains in a reaction-diffusion problem. Zbl 0578.35046
Bandle, C.
1985
Nonlinear boundary value problems in annular domains. Zbl 0608.35018
Bandle, Catherine
1985
The formation of the dead core in parabolic reaction-diffusion problems. Zbl 0519.35042
Bandle, Catherine; Stakgold, Ivar
1984
Diffusion and reaction with monotone kinetics. Zbl 0545.35011
Bandle, C.; Sperb, R. P.; Stakgold, I.
1984
The formation of the dead core in parabolic reaction-diffusion problems. Zbl 0526.35045
Stakgold, Ivar; Bandle, Catherine
1984
Rearrangement in variational inequalities. Zbl 0563.49005
Bandle, C.; Mossino, J.
1984
A priori estimates and the boundary values of solutions for a problem arising in plasma physics. Zbl 0509.35032
Bandle, Catherine; Marcus, Moshe
1983
Qualitative behavior and bounds in a nonlinear plasma problem. Zbl 0519.35030
Bandle, Catherine; Sperb, Rene P.
1983
On the size of the plasma region. Zbl 0494.35040
Bandle, Catherine; Marcus, Moshe
1983
Application du réarrangement à une inéquation variationnelle. Zbl 0534.49006
Bandle, Catherine; Mossino, Jacqueline
1983
Remarks on plasma problems with nonmonotone nonlinearities. Zbl 0509.35033
Bandle, Catherine; Marcus, Moshe
1983
Isoperimetric inequalities. Zbl 0519.53037
Bandle, Catherine
1983
On the boundary values of solutions of a problem arising in plasma physics. Zbl 0509.35031
Bandle, Catherine; Marcus, Moshe
1982
Estimates for the boundary values of the solutions of certain nonlinear elliptic equations. Zbl 0502.35042
Bandle, Catherine
1982
Abschätzung der Randwerte bei nichtlinearen elliptischen Gleichungen aus der Plasmaphysik. Zbl 0469.76115
Bandle, Catherine
1981
A priori bounds for a class of nonlinear elliptic equations and applications to physical problems. Zbl 0454.35020
Bandle, Catherine
1981
...and 36 more Documents
all top 5

### Cited by 1,375 Authors

 56 Bandle, Catherine 28 Marcus, Moshe M. 26 García-Melián, Jorge 22 Rossi, Julio Daniel 21 Zhang, Zhijun 17 Payne, Lawrence Edward 17 Véron, Laurent 16 Punzo, Fabio 15 Agarwal, Ravi P. 14 López-Gómez, Julián 13 Porru, Giovanni 13 Ramos Quoirin, Humberto 13 Samet, Bessem 12 Bartolucci, Daniele 12 Jleli, Mohamed Boussairi 12 Mohammed, Ahmed 12 Sperb, Rene P. 12 Umezu, Kenichiro 12 Vazquez, Juan Luis 12 Wang, Mingxin 12 Wong, Patricia J. Y. 11 Boscaggin, Alberto 11 Brock, Friedemann 11 Chiacchio, Francesco 11 Diaz Diaz, Jesus Ildefonso 11 Ferone, Vincenzo 11 Levine, Howard Allen 11 Philippin, Gérard A. 11 Wei, Juncheng 10 Benguria, Rafael D. 10 Grossi, Massimo 10 Guo, Zongming 10 Kaufmann, Uriel 10 Quaas, Alexander 10 Sabina-de-Lis, José Claudio 10 Volzone, Bruno 10 Wong, Fu-Hsiang 9 Avkhadiev, Farit Gabidinovich 9 Giarrusso, Ester 9 Groisman, Pablo 9 Henderson, Johnny Lee 9 Huang, Shuibo 9 Nguyen Phuoc Tai 9 Siudeja, Bartłomiej Andrzej 9 Zheng, Sining 8 Alvino, Angelo 8 Bobisud, Larry E. 8 Chen, Yujuan 8 Ding, Juntang 8 Laugesen, Richard Snyder 8 Lin, Chang-Shou 8 Lions, Pierre-Louis 8 Rădulescu, Vicenţiu D. 8 Tian, Qiaoyu 8 Yang, Zuodong 8 Zanolin, Fabio 7 Cîrstea, Florica-Corina Şt. 7 Feltrin, Guglielmo 7 Jevnikar, Aleks 7 Kawohl, Bernd 7 Li, Fengjie 7 Liu, Bingchen 7 Mercaldo, Anna 7 Rakotoson, Jean-Michel 7 Salakhudinov, Rustem Gumerovich 7 Sirakov, Boyan Slavchev 7 Wagner, Alfred 7 Wan, Haitao 7 Wang, Haiyan 6 Bañuelos, Rodrigo 6 Cosner, Chris 6 Grillo, Gabriele 6 Iagar, Razvan Gabriel 6 Lin, Song-Sun 6 Liu, Chunlian 6 Lorca, Sebastian Antonio 6 Peletier, Lambertus Adrianus 6 Pinsky, Ross George 6 Pozio, Maria Assunta 6 Prilepkina, Elena Gumarovna 6 Reichel, Wolfgang 6 Sánchez, Ariel 6 Schmitt, Klaus 6 Tarantello, Gabriella 6 Tesei, Alberto 6 Trombetti, Guido 6 Wei, Lei 5 Alarcón, Salomón 5 Ashbaugh, Mark S. 5 Brandolini, Barbara 5 Brunner, Hermann 5 Di Blasio, Giuseppina 5 Dittmar, Bodo 5 Fang, Zhongbo 5 Gladiali, Francesca 5 Kirane, Mokhtar 5 Li, Yuanfei 5 Lin, Changhao 5 Lucia, Marcello 5 Ma, Jingtang ...and 1,275 more Authors
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### Cited in 241 Serials

 140 Journal of Mathematical Analysis and Applications 106 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 105 Journal of Differential Equations 48 ZAMP. Zeitschrift für angewandte Mathematik und Physik 43 Calculus of Variations and Partial Differential Equations 42 Nonlinear Analysis. Theory, Methods & Applications 33 Proceedings of the American Mathematical Society 29 Journal of Functional Analysis 28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 27 Archive for Rational Mechanics and Analysis 25 Applicable Analysis 24 Transactions of the American Mathematical Society 23 Applied Mathematics and Computation 21 Journal d’Analyse Mathématique 20 Communications in Partial Differential Equations 19 Computers & Mathematics with Applications 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Mathematische Annalen 17 Journal of Computational and Applied Mathematics 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Advanced Nonlinear Studies 15 Advances in Mathematics 15 Communications in Contemporary Mathematics 15 Boundary Value Problems 14 Applied Mathematics Letters 14 Discrete and Continuous Dynamical Systems 13 Nonlinear Analysis. Real World Applications 12 Mathematical Methods in the Applied Sciences 12 Rocky Mountain Journal of Mathematics 11 Journal of Mathematical Physics 11 Zeitschrift für Analysis und ihre Anwendungen 11 The Journal of Geometric Analysis 11 NoDEA. Nonlinear Differential Equations and Applications 10 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Journal of Evolution Equations 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Communications on Pure and Applied Analysis 8 Complex Variables and Elliptic Equations 8 Advances in Nonlinear Analysis 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Archiv der Mathematik 6 Manuscripta Mathematica 6 Journal of Dynamics and Differential Equations 6 Potential Analysis 6 Acta Mathematica Sinica. English Series 5 Communications in Mathematical Physics 5 Mathematical Notes 5 Nonlinearity 5 Ricerche di Matematica 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Abstract and Applied Analysis 5 Journal of Inequalities and Applications 5 Journal of the European Mathematical Society (JEMS) 4 Journal of Computational Physics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Results in Mathematics 4 Asymptotic Analysis 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Japan Journal of Industrial and Applied Mathematics 4 Russian Mathematics 4 Electronic Journal of Differential Equations (EJDE) 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Lobachevskii Journal of Mathematics 4 Open Mathematics 4 Journal of Elliptic and Parabolic Equations 3 Journal of Engineering Mathematics 3 Annales de l’Institut Fourier 3 Applied Mathematics and Optimization 3 Indiana University Mathematics Journal 3 Journal of Optimization Theory and Applications 3 Kodai Mathematical Journal 3 Quarterly of Applied Mathematics 3 Studies in Applied Mathematics 3 Tôhoku Mathematical Journal. Second Series 3 Physica D 3 Acta Mathematicae Applicatae Sinica. English Series 3 Computational Mathematics and Mathematical Physics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Topological Methods in Nonlinear Analysis 3 Mathematical Problems in Engineering 3 Annales Henri Poincaré 3 Computational Methods and Function Theory 3 Advances in Difference Equations 3 Journal of Spectral Theory 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Computing 2 Integral Equations and Operator Theory ...and 141 more Serials
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### Cited in 47 Fields

 1,196 Partial differential equations (35-XX) 144 Ordinary differential equations (34-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 95 Global analysis, analysis on manifolds (58-XX) 80 Operator theory (47-XX) 78 Numerical analysis (65-XX) 59 Differential geometry (53-XX) 50 Fluid mechanics (76-XX) 39 Real functions (26-XX) 36 Potential theory (31-XX) 35 Functions of a complex variable (30-XX) 35 Biology and other natural sciences (92-XX) 33 Functional analysis (46-XX) 33 Mechanics of deformable solids (74-XX) 30 Probability theory and stochastic processes (60-XX) 29 Convex and discrete geometry (52-XX) 25 Integral equations (45-XX) 20 Statistical mechanics, structure of matter (82-XX) 15 Measure and integration (28-XX) 15 Difference and functional equations (39-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Quantum theory (81-XX) 8 Special functions (33-XX) 6 Geometry (51-XX) 5 Operations research, mathematical programming (90-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Manifolds and cell complexes (57-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

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