# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 101 Publications since 1979, including 2 Books
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#### Co-Authors

 8 single-authored 26 Gowda, G. D. Veerappa 24 Yadava, S. L. 9 Tintarev, Kyril 6 Ghoshal, Shyam Sundar 5 Mishra, Siddhartha 5 Pacella, Filomena 5 Sandeep, Kunnath 4 Jaffré, Jérôme 3 Giacomoni, Jacques 3 Mancini, Giovanni 2 Aggarwal, Aekta 2 Dutta, Rajib 2 Grossi, Massimo 2 Prashanth, S. 2 Santra, Sanjiban 2 Schindler, Ian 2 Srikanth, P. N. 2 Struwe, Michael 2 Yang, Yunyan 1 A., Karthik 1 Biswas, Imran H. 1 Boccardo, Lucio 1 Chaudhuri, Nirmalendu 1 Cirmi, Giuseppa Rita 1 Do Ó, João M. Bezerra 1 Druet, Olivier 1 Esteban, Maria J. 1 Filippas, Stathis 1 Górka, Przemysław 1 Hazra, Subhendu Bikash 1 Karthik, A. 1 Knaap, Mariette C. 1 Kumar K, Sudarshan 1 Kumar Kenettinkara, Sudarshan 1 Kumaresan, S. 1 Mancini, Gianni 1 Nori, Madhav V. 1 Orsina, Luigi 1 Ramaswamy, Mythily 1 Ratnakumar, P. K. 1 Robert, Frédéric 1 Schulz, Volker H. 1 Seam, Ngonn 1 Sekar, Anusha 1 Singh, Manish Kumar 1 Sohani, Vijay Kumar 1 Tertikas, Achilles 1 Thangavelu, Sundaram 1 Vallet, Guy
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#### Serials

 6 Journal of Differential Equations 6 NoDEA. Nonlinear Differential Equations and Applications 5 Communications in Partial Differential Equations 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Communications in Contemporary Mathematics 4 Journal of Functional Analysis 4 Calculus of Variations and Partial Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Journal of Computational and Applied Mathematics 3 Advances in Differential Equations 3 Journal of Hyperbolic Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Differential and Integral Equations 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Mathematics of Kyoto University 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Numerical Analysis 1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 1 Applied Numerical Mathematics 1 IMRN. International Mathematics Research Notices 1 Matemática Contemporânea 1 Differential Equations and Dynamical Systems 1 Mathematical Inequalities & Applications 1 Journal of the European Mathematical Society (JEMS) 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Mathematical Control and Related Fields 1 Trends in Mathematics
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#### Fields

 92 Partial differential equations (35-XX) 14 Functional analysis (46-XX) 12 Numerical analysis (65-XX) 10 Operator theory (47-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Real functions (26-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 2 Quantum theory (81-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

85 Publications have been cited 1,637 times in 903 Documents Cited by Year
An improved Hardy-Sobolev inequality and its application. Zbl 0987.35049
2002
Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the n-Laplacian. Zbl 0732.35028
1990
Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022
2004
A singular Moser-Trudinger embedding and its applications. Zbl 1171.35367
2007
An interpolation of Hardy inequality and Trudinger-Moser inequality in $$\mathbb R^N$$ and its applications. Zbl 1198.35012
2010
Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity. Zbl 0793.35033
1993
Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2005
Global compactness properties of semilinear elliptic equations with critical exponential growth. Zbl 0956.35045
2000
The Neumann problem for elliptic equations with critical nonlinearity. Zbl 0836.35048
1991
Godunov-type methods for conservation laws with a flux function discontinuous in space. Zbl 1081.65082
Adimurthi; Jaffré, Jérôme; Veerappa Gowda, G. D.
2004
An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem. Zbl 0806.35031
1994
Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity. Zbl 1083.35035
2004
Multiplicity results for semilinear elliptic equations in a bounded domain of $${\mathbb{R}}^ 2$$ involving critical exponents. Zbl 0732.35029
1990
Existence and non-existence of the first eigenvalue of the perturbed Hardy-Sobolev operator. Zbl 1029.35194
2002
On the number of positive solutions of some semilinear Dirichlet problems in a ball. Zbl 0940.35069
1997
The role of the mean curvature in semilinear Neumann problem involving critical exponent. Zbl 0847.35047
1995
Existence and nonexistence of positive radial solutions of Neumann problems with critical Sobolev exponents. Zbl 0839.35041
1991
Conservation law with discontinuous flux. Zbl 1063.35114
2004
An improved Hardy-Sobolev inequality in $$W^{1,p}$$ and its application to Schrödinger operators. Zbl 1089.35035
2005
On the best constant of Hardy-Sobolev inequalities. Zbl 1165.35484
2009
On a version of Trudinger-Moser inequality with Möbius shift invariance. Zbl 1198.35071
2010
Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux. Zbl 1223.35222
Adimurthi; Ghoshal, Shyam Sundar; Dutta, Rajib; Gowda, G. D. Veerappa
2011
Concentration phenomena for Liouville’s equation in dimension four. Zbl 1387.35198
2006
Role of the fundamental solution in Hardy-Sobolev-type inequalities. Zbl 1124.35003
2006
Characterization of concentration points and $$L^ \infty$$-estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent. Zbl 0814.35029
1995
Geometry and topology of the boundary in the critical Neumann problem. Zbl 0804.35036
1994
Multiplicity of positive solutions for a singular and critical elliptic problem in $$\mathbb R^2$$. Zbl 1202.35087
2006
Optimal Hardy–Rellich inequalities, maximum principle and related eigenvalue problem. Zbl 1109.31005
2006
Positive solution for Neumann problem with critical nonlinearity on boundary. Zbl 0780.35036
1991
Exact controllability of scalar conservation laws with strict convex flux. Zbl 1310.35232
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2014
Hardy-Sobolev inequality in $$H^1(\Omega)$$ and its applications. Zbl 1005.35072
2002
Failure of Palais-Smale condition and blow-up analysis for the critical exponent problem in $$\mathbb{R}^2$$. Zbl 0905.35031
1997
On compactness in the Trudinger-Moser inequality. Zbl 1301.46011
2014
Phenomena of critical exponent in $$\mathbb{R}{} ^ 2$$. Zbl 0768.35024
1991
Cocompactness and minimizers for inequalities of Hardy-Sobolev type involving $$N$$-Laplacian. Zbl 1200.35139
Adimurthi; do Ó, João Marcos; Tintarev, Kyril
2010
Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Critical exponent problem in $${\mathbb{R}}^ 2$$ with Neumann boundary condition. Zbl 0707.35059
1990
Elementary proof of the nonexistence of nodal solutions for the semilinear elliptic equations with critical Sobolev exponent. Zbl 0706.35048
1990
Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function. Zbl 1116.35084
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
On a conjecture of Lin-Ni for a semilinear Neumann problem. Zbl 0787.35030
1993
Generalized Hardy-Rellich inequalities in critical dimension and its applications. Zbl 1181.35058
2009
Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in $${\mathbb{R}}^ 2$$. Zbl 0681.35032
1989
Structure of entropy solutions to scalar conservation laws with strictly convex flux. Zbl 1272.35145
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2012
Nonexistence of positive radial solutions of a quasilinear Neumann problem with a critical Sobolev exponent. Zbl 0910.35050
1997
Some remarks on Sobolev type inequalities. Zbl 0819.35049
1994
Monotone (A,B) entropy stable numerical scheme for scalar conservation laws with discontinuous flux. Zbl 1308.65135
Adimurthi; Dutta, Rajib; Gowda, G. D. Veerappa; Jaffré, Jérôme
2014
Optimal controllability for scalar conservation laws with convex flux. Zbl 1311.35151
Adimurthi; Sundar Ghoshal, Shyam; Veerappa Gowda, G. D.
2014
The DFLU flux for systems of conservation laws. Zbl 1263.76044
Adimurthi; Gowda, G. D. Veerappa; Jaffré, Jérôme
2013
Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux. Zbl 1307.35165
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2014
Explicit Hopf-Lax type formulas for Hamilton-Jacobi equations and conservation laws with discontinuous coefficients. Zbl 1128.35067
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Conservation law with the flux function discontinuous in the space variable. II: Convex-concave type fluxes and generalized entropy solutions. Zbl 1131.65071
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2007
$$L^p$$ stability for entropy solutions of scalar conservation laws with strict convex flux. Zbl 1286.35158
Adimurthi; Ghoshal, Shyam Sundar; Veerappa Gowda, G. D.
2014
Best constants and Pohozaev identity for Hardy-Sobolev-type operators. Zbl 1285.35088
2013
Critical exponent problem in $$\mathbb{R}^ 2$$-border-line between existence and non-existence of positive solutions for Dirichlet problem. Zbl 1045.35033
2000
Multibubble analysis on $$N$$-Laplace equation in $${\mathbb{R}^N}$$. Zbl 1205.35132
2011
Bifurcation problems for superlinear elliptic indefinite equations with exponential growth. Zbl 1210.35085
2005
Some remarks on the Dirichlet problem with critical growth for the $$n$$- Laplacian. Zbl 0768.35015
1991
A Hardy-Sobolev inequality for the twisted Laplacian. Zbl 1373.35013
Adimurthi; Ratnakumar, P. K.; Sohani, Vijay Kumar
2017
The regularizing effect of lower order terms in elliptic problems involving Hardy potential. Zbl 1370.35102
Adimurthi, A.; Boccardo, Lucio; Cirmi, G. Rita; Orsina, Luigi
2017
Defect of compactness in spaces of bounded variation. Zbl 1356.46017
2016
Second order scheme for scalar conservation laws with discontinuous flux. Zbl 1329.65177
Adimurthi; Kumar K, Sudarshan; Veerappa Gowda, G. D.
2014
Hopf-Lax type formula for sub- and supersolutions. Zbl 0987.35034
2000
Uniqueness of positive solutions of a quasilinear Dirichlet problem with exponential nonlinearity. Zbl 0915.35041
1998
Bifurcation results for semilinear elliptic problems with critical exponent in $${\mathbb{R}}^ 2$$. Zbl 0702.35015
1990
Global Trudinger-Moser inequality on metric spaces. Zbl 1358.46028
2016
On the Brezis-Lieb lemma without pointwise convergence. Zbl 1336.46026
2015
Cocompactness properties of Moser-Trudinger functional in connection to semilinear biharmonic equations in four dimensions. Zbl 1194.35121
2009
A sharp solvability condition in higher dimensions for some Brezis-Nirenberg type equation. Zbl 1013.35037
2002
Uniqueness of positive solutions of Dirichlet problem with exponential nonlinearity. Zbl 0894.35037
1998
Nonexistence of nodal solutions of elliptic equations with critical growth in $$\mathbb{R}{}^ 2$$. Zbl 0755.35038
1992
A note on a critical exponent problem with Neumann boundary conditions. Zbl 0784.35030
1992
On exact number of solutions at infinity of Ambrosetti-Prodi class of problems. Zbl 0589.35048
1984
Lax-Oleĭnik explicit formula and structure theory for balance laws. Zbl 1445.35242
Adimurthi; Singh, Manish; Gowda, G. D. Veerappa
2020
A Hardy type inequality on fractional order Sobolev spaces on the Heisenberg group. Zbl 1406.46022
2018
On the convergence of a second order approximation of conservation laws with discontinuous flux. Zbl 1339.65146
Adimurthi; Kumar Kenettinkara, Sudarshan; Veerappa Gowda, G. D.
2016
Uniqueness of positive solutions of a $$n$$-Laplace equation in a ball in $$\mathbb{R}^n$$ with exponential nonlinearity. Zbl 1344.35056
2016
On the equation of Barenblatt-Sobolev. Zbl 1228.35128
2011
Hardy inequalities for weighted Dirac operator. Zbl 1187.35190
2010
Monotonization of flux, entropy and numerical schemes for conservation laws. Zbl 1168.35028
Adimurthi; Gowda, G. D. Veerappa; Jaffré, Jérôme
2009
Hopf-Lax type formula for non monotonic autonomous Hamilton Jacobi equations. Zbl 1052.35054
2004
Formula for a solution of $$u_t+H (u,Du)=g$$. Zbl 0967.35027
2000
Impact of geometry of the boundary on the positive solutions of a semilinear Neumann problem with critical nonlinearity. Zbl 0900.35140
1995
Existence of a nonradial positive solution for the critical exponent problem with Neumann boundary condition. Zbl 0790.35037
1993
Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity. Zbl 0770.35013
1992
On the singular support of distributions and Fourier transforms on symmetric spaces. Zbl 0447.43009
1979
Lax-Oleĭnik explicit formula and structure theory for balance laws. Zbl 1445.35242
Adimurthi; Singh, Manish; Gowda, G. D. Veerappa
2020
A Hardy type inequality on fractional order Sobolev spaces on the Heisenberg group. Zbl 1406.46022
2018
A Hardy-Sobolev inequality for the twisted Laplacian. Zbl 1373.35013
Adimurthi; Ratnakumar, P. K.; Sohani, Vijay Kumar
2017
The regularizing effect of lower order terms in elliptic problems involving Hardy potential. Zbl 1370.35102
Adimurthi, A.; Boccardo, Lucio; Cirmi, G. Rita; Orsina, Luigi
2017
Defect of compactness in spaces of bounded variation. Zbl 1356.46017
2016
Global Trudinger-Moser inequality on metric spaces. Zbl 1358.46028
2016
On the convergence of a second order approximation of conservation laws with discontinuous flux. Zbl 1339.65146
Adimurthi; Kumar Kenettinkara, Sudarshan; Veerappa Gowda, G. D.
2016
Uniqueness of positive solutions of a $$n$$-Laplace equation in a ball in $$\mathbb{R}^n$$ with exponential nonlinearity. Zbl 1344.35056
2016
On the Brezis-Lieb lemma without pointwise convergence. Zbl 1336.46026
2015
Exact controllability of scalar conservation laws with strict convex flux. Zbl 1310.35232
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2014
On compactness in the Trudinger-Moser inequality. Zbl 1301.46011
2014
Monotone (A,B) entropy stable numerical scheme for scalar conservation laws with discontinuous flux. Zbl 1308.65135
Adimurthi; Dutta, Rajib; Gowda, G. D. Veerappa; Jaffré, Jérôme
2014
Optimal controllability for scalar conservation laws with convex flux. Zbl 1311.35151
Adimurthi; Sundar Ghoshal, Shyam; Veerappa Gowda, G. D.
2014
Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux. Zbl 1307.35165
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2014
$$L^p$$ stability for entropy solutions of scalar conservation laws with strict convex flux. Zbl 1286.35158
Adimurthi; Ghoshal, Shyam Sundar; Veerappa Gowda, G. D.
2014
Second order scheme for scalar conservation laws with discontinuous flux. Zbl 1329.65177
Adimurthi; Kumar K, Sudarshan; Veerappa Gowda, G. D.
2014
The DFLU flux for systems of conservation laws. Zbl 1263.76044
Adimurthi; Gowda, G. D. Veerappa; Jaffré, Jérôme
2013
Best constants and Pohozaev identity for Hardy-Sobolev-type operators. Zbl 1285.35088
2013
Structure of entropy solutions to scalar conservation laws with strictly convex flux. Zbl 1272.35145
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2012
Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux. Zbl 1223.35222
Adimurthi; Ghoshal, Shyam Sundar; Dutta, Rajib; Gowda, G. D. Veerappa
2011
Multibubble analysis on $$N$$-Laplace equation in $${\mathbb{R}^N}$$. Zbl 1205.35132
2011
On the equation of Barenblatt-Sobolev. Zbl 1228.35128
2011
An interpolation of Hardy inequality and Trudinger-Moser inequality in $$\mathbb R^N$$ and its applications. Zbl 1198.35012
2010
On a version of Trudinger-Moser inequality with Möbius shift invariance. Zbl 1198.35071
2010
Cocompactness and minimizers for inequalities of Hardy-Sobolev type involving $$N$$-Laplacian. Zbl 1200.35139
Adimurthi; do Ó, João Marcos; Tintarev, Kyril
2010
Hardy inequalities for weighted Dirac operator. Zbl 1187.35190
2010
On the best constant of Hardy-Sobolev inequalities. Zbl 1165.35484
2009
Generalized Hardy-Rellich inequalities in critical dimension and its applications. Zbl 1181.35058
2009
Cocompactness properties of Moser-Trudinger functional in connection to semilinear biharmonic equations in four dimensions. Zbl 1194.35121
2009
Monotonization of flux, entropy and numerical schemes for conservation laws. Zbl 1168.35028
Adimurthi; Gowda, G. D. Veerappa; Jaffré, Jérôme
2009
A singular Moser-Trudinger embedding and its applications. Zbl 1171.35367
2007
Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function. Zbl 1116.35084
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Explicit Hopf-Lax type formulas for Hamilton-Jacobi equations and conservation laws with discontinuous coefficients. Zbl 1128.35067
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Conservation law with the flux function discontinuous in the space variable. II: Convex-concave type fluxes and generalized entropy solutions. Zbl 1131.65071
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2007
Concentration phenomena for Liouville’s equation in dimension four. Zbl 1387.35198
2006
Role of the fundamental solution in Hardy-Sobolev-type inequalities. Zbl 1124.35003
2006
Multiplicity of positive solutions for a singular and critical elliptic problem in $$\mathbb R^2$$. Zbl 1202.35087
2006
Optimal Hardy–Rellich inequalities, maximum principle and related eigenvalue problem. Zbl 1109.31005
2006
Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2005
An improved Hardy-Sobolev inequality in $$W^{1,p}$$ and its application to Schrödinger operators. Zbl 1089.35035
2005
Bifurcation problems for superlinear elliptic indefinite equations with exponential growth. Zbl 1210.35085
2005
Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022
2004
Godunov-type methods for conservation laws with a flux function discontinuous in space. Zbl 1081.65082
Adimurthi; Jaffré, Jérôme; Veerappa Gowda, G. D.
2004
Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity. Zbl 1083.35035
2004
Conservation law with discontinuous flux. Zbl 1063.35114
2004
Hopf-Lax type formula for non monotonic autonomous Hamilton Jacobi equations. Zbl 1052.35054
2004
An improved Hardy-Sobolev inequality and its application. Zbl 0987.35049
2002
Existence and non-existence of the first eigenvalue of the perturbed Hardy-Sobolev operator. Zbl 1029.35194
2002
Hardy-Sobolev inequality in $$H^1(\Omega)$$ and its applications. Zbl 1005.35072
2002
A sharp solvability condition in higher dimensions for some Brezis-Nirenberg type equation. Zbl 1013.35037
2002
Global compactness properties of semilinear elliptic equations with critical exponential growth. Zbl 0956.35045
2000
Critical exponent problem in $$\mathbb{R}^ 2$$-border-line between existence and non-existence of positive solutions for Dirichlet problem. Zbl 1045.35033
2000
Hopf-Lax type formula for sub- and supersolutions. Zbl 0987.35034
2000
Formula for a solution of $$u_t+H (u,Du)=g$$. Zbl 0967.35027
2000
Uniqueness of positive solutions of a quasilinear Dirichlet problem with exponential nonlinearity. Zbl 0915.35041
1998
Uniqueness of positive solutions of Dirichlet problem with exponential nonlinearity. Zbl 0894.35037
1998
On the number of positive solutions of some semilinear Dirichlet problems in a ball. Zbl 0940.35069
1997
Failure of Palais-Smale condition and blow-up analysis for the critical exponent problem in $$\mathbb{R}^2$$. Zbl 0905.35031
1997
Nonexistence of positive radial solutions of a quasilinear Neumann problem with a critical Sobolev exponent. Zbl 0910.35050
1997
The role of the mean curvature in semilinear Neumann problem involving critical exponent. Zbl 0847.35047
1995
Characterization of concentration points and $$L^ \infty$$-estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent. Zbl 0814.35029
1995
Impact of geometry of the boundary on the positive solutions of a semilinear Neumann problem with critical nonlinearity. Zbl 0900.35140
1995
An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem. Zbl 0806.35031
1994
Geometry and topology of the boundary in the critical Neumann problem. Zbl 0804.35036
1994
Some remarks on Sobolev type inequalities. Zbl 0819.35049
1994
Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity. Zbl 0793.35033
1993
On a conjecture of Lin-Ni for a semilinear Neumann problem. Zbl 0787.35030
1993
Existence of a nonradial positive solution for the critical exponent problem with Neumann boundary condition. Zbl 0790.35037
1993
Nonexistence of nodal solutions of elliptic equations with critical growth in $$\mathbb{R}{}^ 2$$. Zbl 0755.35038
1992
A note on a critical exponent problem with Neumann boundary conditions. Zbl 0784.35030
1992
Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity. Zbl 0770.35013
1992
The Neumann problem for elliptic equations with critical nonlinearity. Zbl 0836.35048
1991
Existence and nonexistence of positive radial solutions of Neumann problems with critical Sobolev exponents. Zbl 0839.35041
1991
Positive solution for Neumann problem with critical nonlinearity on boundary. Zbl 0780.35036
1991
Phenomena of critical exponent in $$\mathbb{R}{} ^ 2$$. Zbl 0768.35024
1991
Some remarks on the Dirichlet problem with critical growth for the $$n$$- Laplacian. Zbl 0768.35015
1991
Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the n-Laplacian. Zbl 0732.35028
1990
Multiplicity results for semilinear elliptic equations in a bounded domain of $${\mathbb{R}}^ 2$$ involving critical exponents. Zbl 0732.35029
1990
Critical exponent problem in $${\mathbb{R}}^ 2$$ with Neumann boundary condition. Zbl 0707.35059
1990
Elementary proof of the nonexistence of nodal solutions for the semilinear elliptic equations with critical Sobolev exponent. Zbl 0706.35048
1990
Bifurcation results for semilinear elliptic problems with critical exponent in $${\mathbb{R}}^ 2$$. Zbl 0702.35015
1990
Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in $${\mathbb{R}}^ 2$$. Zbl 0681.35032
1989
On exact number of solutions at infinity of Ambrosetti-Prodi class of problems. Zbl 0589.35048
1984
On the singular support of distributions and Fourier transforms on symmetric spaces. Zbl 0447.43009
1979
all top 5

#### Cited by 759 Authors

 40 Adimurthi, A. 33 Do Ó, João M. Bezerra 33 Yang, Yunyan 26 Lu, Guozhen 26 Sreenadh, Konijeti 23 Lam, Nguyen 19 Wei, Juncheng 18 Gowda, G. D. Veerappa 17 Nguyễn Văn Hoàng 17 Ruf, Bernhard 17 Tintarev, Kyril 16 Musso, Monica 15 de Souza, Manassés 14 Mishra, Siddhartha 14 Pacella, Filomena 13 Andreianov, Boris 12 Martinazzi, Luca 12 Yang, Qiaohua 11 Černý, Robert 11 Karlsen, Kenneth Hvistendahl 11 Prashanth, S. 11 Wu, Tsungfang 10 Ghoshal, Shyam Sundar 10 Giacomoni, Jacques 10 Zhu, Xiaobao 9 Alves, Claudianor Oliveira 9 Berchio, Elvise 9 Chabrowski, Jan H. 9 Grossi, Massimo 9 Medeiros, Everaldo S. 9 Risebro, Nils Henrik 9 Sani, Federica 9 Severo, Uberlandio Batista 8 Ruzhansky, Michael V. 8 Takahashi, Futoshi 8 Tertikas, Achilles 8 Yadava, S. L. 7 Cao, Daomin 7 Del Pino, Manuel A. 7 Filippas, Stathis 7 Goyal, Sarika 7 Miyagaki, Olimpio Hiroshi 7 Pistoia, Angela 7 Rey, Olivier 7 Shen, Yaotian 7 Tarsi, Cristina 7 Zographopoulos, Nikolaos B. 6 Albuquerque, Francisco S. B. Albuquerque 6 Bürger, Raimund 6 Cancès, Clément 6 Cassani, Daniele 6 Costa, David Goldstein 6 Guedes de Figueiredo, Djairo 6 Fernández Bonder, Julián 6 Kombe, Ismail 6 Ozawa, Tohru 6 Peng, Shuangjie 6 Struwe, Michael 6 Suragan, Durvudkhan 6 Tang, Hanli 6 Thizy, Pierre-Damien 6 Towers, John D. 6 Yan, Shusen 5 Aouaoui, Sami 5 Chen, Lu 5 Chen, Zhihui 5 de Marchis, Francesca 5 Deng, Shengbing 5 Dolbeault, Jean 5 Ercole, Grey 5 Esposito, Pierpaolo 5 Gazzola, Filippo 5 Goatin, Paola 5 Ianni, Isabella 5 Ioku, Norisuke 5 Kristály, Alexandru 5 Mancini, Gabriele 5 Masmoudi, Nader 5 Mukherjee, Tuhina 5 Musina, Roberta 5 Pinchover, Yehuda 5 Robert, Frédéric 5 Roy, Prosenjit 5 Sandeep, Kunnath 5 Sano, Megumi 5 Santra, Sanjiban 5 Soares, Sérgio H. Monari 5 Wang, Guodong 5 Wang, Liping 5 Yener, Abdullah 5 Zhang, Caifeng 5 Zhang, Guoqing 5 Zhang, Jianjun 4 Bahrouni, Anouar 4 Barbatis, Gerassimos 4 Calanchi, Marta 4 Coclite, Giuseppe Maria 4 Csató, Gyula 4 Donadello, Carlotta 4 Druet, Olivier ...and 659 more Authors
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#### Cited in 160 Serials

 83 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 80 Journal of Differential Equations 50 Journal of Functional Analysis 48 Journal of Mathematical Analysis and Applications 47 Calculus of Variations and Partial Differential Equations 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Communications in Contemporary Mathematics 19 Annali di Matematica Pura ed Applicata. Serie Quarta 17 NoDEA. Nonlinear Differential Equations and Applications 17 Advanced Nonlinear Studies 15 Complex Variables and Elliptic Equations 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Proceedings of the American Mathematical Society 12 Journal of Inequalities and Applications 11 Archiv der Mathematik 11 Transactions of the American Mathematical Society 11 Discrete and Continuous Dynamical Systems 11 Journal of Hyperbolic Differential Equations 9 Mathematische Zeitschrift 9 Applied Mathematics Letters 9 Communications in Partial Differential Equations 9 Journal of the European Mathematical Society (JEMS) 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Communications on Pure and Applied Analysis 8 Applicable Analysis 8 Journal d’Analyse Mathématique 8 Mathematische Nachrichten 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications 7 Archive for Rational Mechanics and Analysis 7 Advances in Mathematics 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Potential Analysis 7 Mathematical Inequalities & Applications 7 Advances in Nonlinear Analysis 6 Acta Mathematicae Applicatae Sinica. English Series 6 Mediterranean Journal of Mathematics 6 Networks and Heterogeneous Media 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Duke Mathematical Journal 5 Numerische Mathematik 5 Rendiconti del Seminario Matematico della Università di Padova 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Boundary Value Problems 5 Science China. Mathematics 4 Communications on Pure and Applied Mathematics 4 Journal of Engineering Mathematics 4 Mathematics of Computation 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Mathematische Annalen 4 The Journal of Geometric Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Abstract and Applied Analysis 4 Revista Matemática Complutense 4 Acta Mathematica Sinica. English Series 4 Computational Geosciences 4 Journal of Evolution Equations 3 Journal of Computational Physics 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 SIAM Journal on Control and Optimization 3 Annals of Global Analysis and Geometry 3 International Journal of Mathematics 3 SIAM Journal on Mathematical Analysis 3 Topological Methods in Nonlinear Analysis 3 St. Petersburg Mathematical Journal 3 Nonlinear Analysis. Real World Applications 3 Milan Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Communications in Mathematical Physics 2 Indian Journal of Pure & Applied Mathematics 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Journal of Computational and Applied Mathematics 2 Memoirs of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Ricerche di Matematica 2 Tohoku Mathematical Journal. Second Series 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the National Academy of Sciences of the United States of America 2 Electronic Journal of Differential Equations (EJDE) 2 Turkish Journal of Mathematics 2 Central European Journal of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Journal of Mathematical Inequalities 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Differential Equations 2 Kyoto Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica ...and 60 more Serials
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#### Cited in 34 Fields

 738 Partial differential equations (35-XX) 212 Functional analysis (46-XX) 166 Real functions (26-XX) 93 Global analysis, analysis on manifolds (58-XX) 49 Operator theory (47-XX) 47 Numerical analysis (65-XX) 45 Fluid mechanics (76-XX) 35 Differential geometry (53-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 21 Ordinary differential equations (34-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Topological groups, Lie groups (22-XX) 13 Abstract harmonic analysis (43-XX) 11 Operations research, mathematical programming (90-XX) 9 Systems theory; control (93-XX) 8 Potential theory (31-XX) 7 Biology and other natural sciences (92-XX) 6 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 1 Geophysics (86-XX)

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