Compute Distance To:
 Documents Indexed: 98 Publications since 1979 3 Contributions as Editor Co-Authors: 45 Co-Authors with 91 Joint Publications 803 Co-Co-Authors
all top 5

### 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 4 Jaffré, Jérôme 4 Mancini, Giovanni 3 Giacomoni, Jacques 3 Sandeep, Kunnath 2 Aggarwal, Aekta 2 Dutta, Rajib 2 Grossi, Massimo 2 Karthik, Anantha K. 2 Kumar Kenettinkara, Sudarshan 2 Prashanth, S. 2 Santra, Sanjiban 2 Schindler, Ian 2 Srikanth, P. N. 2 Struwe, Michael 2 Yang, Yunyan 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 Knaap, Mariette C. 1 Kumaresan, S. 1 Mallick, Arka 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 Sohani, Vijay Kumar 1 Tertikas, Achilles 1 Thangavelu, Sundaram 1 Vallet, Guy
all top 5

### 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 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 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 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
all top 5

### Fields

 92 Partial differential equations (35-XX) 15 Functional analysis (46-XX) 12 Numerical analysis (65-XX) 10 Operator theory (47-XX) 9 Real functions (26-XX) 9 Global analysis, analysis on manifolds (58-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 Abstract harmonic analysis (43-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 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

87 Publications have been cited 1,897 times in 1,050 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
A singular Moser-Trudinger embedding and its applications. Zbl 1171.35367
2007
Blow-up analysis in dimension 2 and a sharp form of Trudinger–Moser inequality. Zbl 1076.46022
2004
An interpolation of Hardy inequality and Trudinger-Moser inequality in $$\mathbb R^N$$ and its applications. Zbl 1198.35012
2010
Global compactness properties of semilinear elliptic equations with critical exponential growth. Zbl 0956.35045
2000
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
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
Multiplicity results for semilinear elliptic equations in a bounded domain of $${\mathbb{R}}^ 2$$ involving critical exponents. Zbl 0732.35029
1990
Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity. Zbl 1083.35035
2004
An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem. Zbl 0806.35031
1994
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
Existence and nonexistence of positive radial solutions of Neumann problems with critical Sobolev exponents. Zbl 0839.35041
1991
The role of the mean curvature in semilinear Neumann problem involving critical exponent. Zbl 0847.35047
1995
Conservation law with discontinuous flux. Zbl 1063.35114
2004
On the best constant of Hardy-Sobolev inequalities. Zbl 1165.35484
2009
Concentration phenomena for Liouville’s equation in dimension four. Zbl 1387.35198
2006
An improved Hardy-Sobolev inequality in $$W^{1,p}$$ and its application to Schrödinger operators. Zbl 1089.35035
2005
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
Multiplicity of positive solutions for a singular and critical elliptic problem in $$\mathbb R^2$$. Zbl 1202.35087
2006
On a version of Trudinger-Moser inequality with Möbius shift invariance. Zbl 1198.35071
2010
Role of the fundamental solution in Hardy-Sobolev-type inequalities. Zbl 1124.35003
2006
Optimal Hardy–Rellich inequalities, maximum principle and related eigenvalue problem. Zbl 1109.31005
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
Exact controllability of scalar conservation laws with strict convex flux. Zbl 1310.35232
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2014
Geometry and topology of the boundary in the critical Neumann problem. Zbl 0804.35036
1994
Positive solution for Neumann problem with critical nonlinearity on boundary. Zbl 0780.35036
1991
Failure of Palais-Smale condition and blow-up analysis for the critical exponent problem in $$\mathbb{R}^2$$. Zbl 0905.35031
1997
Critical exponent problem in $${\mathbb{R}}^ 2$$ with Neumann boundary condition. Zbl 0707.35059
1990
Hardy-Sobolev inequality in $$H^1(\Omega)$$ and its applications. Zbl 1005.35072
2002
Elementary proof of the nonexistence of nodal solutions for the semilinear elliptic equations with critical Sobolev exponent. Zbl 0706.35048
1990
On compactness in the Trudinger-Moser inequality. Zbl 1301.46011
2014
Generalized Hardy-Rellich inequalities in critical dimension and its applications. Zbl 1181.35058
2009
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
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
Structure of entropy solutions to scalar conservation laws with strictly convex flux. Zbl 1272.35145
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2012
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
Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in $${\mathbb{R}}^ 2$$. Zbl 0681.35032
1989
On a conjecture of Lin-Ni for a semilinear Neumann problem. Zbl 0787.35030
1993
Some remarks on Sobolev type inequalities. Zbl 0819.35049
1994
Nonexistence of positive radial solutions of a quasilinear Neumann problem with a critical Sobolev exponent. Zbl 0910.35050
1997
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
The DFLU flux for systems of conservation laws. Zbl 1263.76044
Adimurthi; Gowda, G. D. Veerappa; Jaffré, Jérôme
2013
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
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
Critical exponent problem in $$\mathbb{R}^ 2$$-border-line between existence and non-existence of positive solutions for Dirichlet problem. Zbl 1045.35033
2000
Optimal controllability for scalar conservation laws with convex flux. Zbl 1311.35151
Adimurthi; Sundar Ghoshal, Shyam; Veerappa Gowda, G. D.
2014
Best constants and Pohozaev identity for Hardy-Sobolev-type operators. Zbl 1285.35088
2013
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
Bifurcation problems for superlinear elliptic indefinite equations with exponential growth. Zbl 1210.35085
2005
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
Multibubble analysis on $$N$$-Laplace equation in $${\mathbb{R}^N}$$. Zbl 1205.35132
2011
Some remarks on the Dirichlet problem with critical growth for the $$n$$- Laplacian. Zbl 0768.35015
1991
Second order scheme for scalar conservation laws with discontinuous flux. Zbl 1329.65177
Adimurthi; Kumar K, Sudarshan; Veerappa Gowda, G. D.
2014
Bifurcation results for semilinear elliptic problems with critical exponent in $${\mathbb{R}}^ 2$$. Zbl 0702.35015
1990
Nonexistence of nodal solutions of elliptic equations with critical growth in $$\mathbb{R}{}^ 2$$. Zbl 0755.35038
1992
A Hardy type inequality on fractional order Sobolev spaces on the Heisenberg group. Zbl 1406.46022
2018
Uniqueness of positive solutions of a quasilinear Dirichlet problem with exponential nonlinearity. Zbl 0915.35041
1998
Hopf-Lax type formula for sub- and supersolutions. Zbl 0987.35034
2000
A sharp solvability condition in higher dimensions for some Brezis-Nirenberg type equation. Zbl 1013.35037
2002
Defect of compactness in spaces of bounded variation. Zbl 1356.46017
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 exact number of solutions at infinity of Ambrosetti-Prodi class of problems. Zbl 0589.35048
1984
On the equation of Barenblatt-Sobolev. Zbl 1228.35128
2011
Uniqueness of positive solutions of Dirichlet problem with exponential nonlinearity. Zbl 0894.35037
1998
Existence of a nonradial positive solution for the critical exponent problem with Neumann boundary condition. Zbl 0790.35037
1993
Global Trudinger-Moser inequality on metric spaces. Zbl 1358.46028
2016
On the Brezis-Lieb lemma without pointwise convergence. Zbl 1336.46026
2015
Godunov-type numerical methods for a model of granular flow. Zbl 1349.76297
Adimurthi, A.; Aggarwal, Aekta; Veerappa Gowda, G. D.
2016
A note on a critical exponent problem with Neumann boundary conditions. Zbl 0784.35030
1992
Cocompactness properties of Moser-Trudinger functional in connection to semilinear biharmonic equations in four dimensions. Zbl 1194.35121
2009
Godunov-type numerical methods for a model of granular flow on open tables with walls. Zbl 1373.76115
Adimurthi; Aggarwal, Aekta; Gowda, G. D. Veerappa
2016
Lax-Oleĭnik explicit formula and structure theory for balance laws. Zbl 1445.35242
Adimurthi; Singh, Manish; Gowda, G. D. Veerappa
2020
Impact of geometry of the boundary on the positive solutions of a semilinear Neumann problem with critical nonlinearity. Zbl 0900.35140
1995
Formula for a solution of $$u_t+H (u,Du)=g$$. Zbl 0967.35027
2000
Hopf-Lax type formula for non monotonic autonomous Hamilton Jacobi equations. Zbl 1052.35054
2004
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
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
Monotonization of flux, entropy and numerical schemes for conservation laws. Zbl 1168.35028
Adimurthi; Gowda, G. D. Veerappa; Jaffré, Jérôme
2009
Hardy inequalities for weighted Dirac operator. Zbl 1187.35190
2010
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
Uniqueness of positive solutions of a $$n$$-Laplace equation in a ball in $$\mathbb{R}^n$$ with exponential nonlinearity. Zbl 1344.35056
2016
Global Trudinger-Moser inequality on metric spaces. Zbl 1358.46028
2016
Godunov-type numerical methods for a model of granular flow. Zbl 1349.76297
Adimurthi, A.; Aggarwal, Aekta; Veerappa Gowda, G. D.
2016
Godunov-type numerical methods for a model of granular flow on open tables with walls. Zbl 1373.76115
Adimurthi; Aggarwal, Aekta; Gowda, G. D. Veerappa
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
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
$$L^p$$ stability for entropy solutions of scalar conservation laws with strict convex flux. Zbl 1286.35158
Adimurthi; Ghoshal, Shyam Sundar; Veerappa Gowda, G. D.
2014
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
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
Optimal controllability for scalar conservation laws with convex flux. Zbl 1311.35151
Adimurthi; Sundar Ghoshal, Shyam; 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
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
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
Concentration phenomena for Liouville’s equation in dimension four. Zbl 1387.35198
2006
Multiplicity of positive solutions for a singular and critical elliptic problem in $$\mathbb R^2$$. Zbl 1202.35087
2006
Role of the fundamental solution in Hardy-Sobolev-type inequalities. Zbl 1124.35003
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 845 Authors

 40 Adimurthi, A. 35 Do Ó, João M. Bezerra 35 Yang, Yunyan 30 Sreenadh, Konijeti 29 Lu, Guozhen 28 Lam, Nguyen 20 Gowda, G. D. Veerappa 19 Nguyễn Văn Hoàng 19 Wei, Juncheng 17 Ruf, Bernhard 17 Tintarev, Kyril 16 de Souza, Manassés 16 Musso, Monica 16 Pacella, Filomena 14 Ghoshal, Shyam Sundar 14 Martinazzi, Luca 14 Yang, Qiaohua 13 Andreianov, Boris 13 Medeiros, Everaldo S. 13 Mishra, Siddhartha 13 Severo, Uberlandio Batista 12 Giacomoni, Jacques 12 Grossi, Massimo 12 Wu, Tsungfang 11 Alves, Claudianor Oliveira 11 Černý, Robert 11 Prashanth, S. 11 Zhu, Xiaobao 10 Albuquerque, Francisco S. B. Albuquerque 10 Karlsen, Kenneth Hvistendahl 10 Nguyen Tuan Duy 9 Berchio, Elvise 9 Chabrowski, Jan H. 9 Chen, Lu 9 Risebro, Nils Henrik 9 Ruzhansky, Michael V. 9 Sani, Federica 9 Takahashi, Futoshi 9 Tang, Xianhua 8 Furtado, Marcelo Fernandes 8 Goyal, Sarika 8 Kombe, Ismail 8 Mancini, Gabriele 8 Miyagaki, Olimpio Hiroshi 8 Pistoia, Angela 8 Tertikas, Achilles 8 Yadava, S. L. 8 Zhang, Mengjie 7 Aouaoui, Sami 7 Cao, Daomin 7 Del Pino, Manuel A. 7 Filippas, Stathis 7 Ianni, Isabella 7 Rădulescu, Vicenţiu D. 7 Rey, Olivier 7 Shen, Yaotian 7 Tarsi, Cristina 7 Towers, John D. 7 Yan, Shusen 7 Yang, Minbo 7 Zographopoulos, Nikolaos B. 6 Bahrouni, Anouar 6 Bürger, Raimund 6 Cancès, Clément 6 Cassani, Daniele 6 Chen, Sitong 6 Guedes de Figueiredo, Djairo 6 Deng, Shengbing 6 Figueiredo, Giovany Malcher 6 Hyder, Ali 6 da Silva Montenegro, Marcelo 6 Musina, Roberta 6 Ozawa, Tohru 6 Peng, Shuangjie 6 Perera, Kanishka 6 Sano, Megumi 6 Santra, Sanjiban 6 Struwe, Michael 6 Suragan, Durvudkhan 6 Tang, Hanli 6 Thizy, Pierre-Damien 6 Wang, Guodong 6 Zhu, Maochun 5 Chen, Zhihui 5 Costa, David Goldstein 5 de Marchis, Francesca 5 Dolbeault, Jean 5 Ercole, Grey 5 Esposito, Pierpaolo 5 Fernández Bonder, Julián 5 Gazzola, Filippo 5 Goatin, Paola 5 Horiuchi, Toshio 5 Ioku, Norisuke 5 Jana, Animesh 5 Kristály, Alexandru 5 Liu, Yanjun 5 Masmoudi, Nader 5 Mishra, Pawan Kumar 5 Mukherjee, Tuhina ...and 745 more Authors
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### Cited in 181 Serials

 90 Journal of Differential Equations 85 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 57 Calculus of Variations and Partial Differential Equations 56 Journal of Mathematical Analysis and Applications 50 Journal of Functional Analysis 24 Communications in Contemporary Mathematics 22 Annali di Matematica Pura ed Applicata. Serie Quarta 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 NoDEA. Nonlinear Differential Equations and Applications 17 Advanced Nonlinear Studies 17 Communications on Pure and Applied Analysis 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Journal of Inequalities and Applications 15 Complex Variables and Elliptic Equations 14 Journal of Hyperbolic Differential Equations 13 Proceedings of the American Mathematical Society 13 Discrete and Continuous Dynamical Systems 11 Archiv der Mathematik 11 Transactions of the American Mathematical Society 10 Applicable Analysis 10 Mathematische Zeitschrift 10 Journal of the European Mathematical Society (JEMS) 9 Applied Mathematics Letters 9 Communications in Partial Differential Equations 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal d’Analyse Mathématique 8 Mathematische Nachrichten 8 Potential Analysis 8 Mathematical Inequalities & Applications 8 Boundary Value Problems 8 Networks and Heterogeneous Media 8 Science China. Mathematics 8 Advances in Nonlinear Analysis 8 Nonlinear Analysis. Theory, Methods & Applications 7 Archive for Rational Mechanics and Analysis 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Advances in Mathematics 7 Mathematische Annalen 7 The Journal of Geometric Analysis 7 SIAM Journal on Mathematical Analysis 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Topological Methods in Nonlinear Analysis 6 Numerische Mathematik 6 Acta Mathematicae Applicatae Sinica. English Series 6 Acta Mathematica Sinica. English Series 6 Mediterranean Journal of Mathematics 5 Duke Mathematical Journal 5 Rendiconti del Seminario Matematico della Università di Padova 5 International Journal of Mathematics 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Revista Matemática Complutense 5 Journal of Evolution Equations 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 Applied Mathematics and Computation 4 Monatshefte für Mathematik 4 SIAM Journal on Control and Optimization 4 St. Petersburg Mathematical Journal 4 Abstract and Applied Analysis 4 Computational Geosciences 4 Milan Journal of Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Mathematical Inequalities 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Computational Physics 3 Journal of Mathematical Physics 3 Nonlinearity 3 Rocky Mountain Journal of Mathematics 3 Manuscripta Mathematica 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Zeitschrift für Analysis und ihre Anwendungen 3 Annals of Global Analysis and Geometry 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series S 2 Analysis Mathematica 2 Communications in Mathematical Physics 2 Journal of Fluid Mechanics 2 Journal of Computational and Applied Mathematics 2 Memoirs of the American Mathematical Society 2 Proceedings of the Japan Academy. Series A 2 Ricerche di Matematica 2 Tohoku Mathematical Journal. Second Series 2 Bulletin of the Iranian Mathematical Society 2 Revista Matemática Iberoamericana 2 Asymptotic Analysis 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 Vietnam Journal of Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 Journal of Fixed Point Theory and Applications ...and 81 more Serials
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### Cited in 36 Fields

 867 Partial differential equations (35-XX) 247 Functional analysis (46-XX) 186 Real functions (26-XX) 101 Global analysis, analysis on manifolds (58-XX) 57 Operator theory (47-XX) 54 Fluid mechanics (76-XX) 52 Numerical analysis (65-XX) 37 Differential geometry (53-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 22 Ordinary differential equations (34-XX) 19 Abstract harmonic analysis (43-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 15 Topological groups, Lie groups (22-XX) 13 Systems theory; control (93-XX) 11 Operations research, mathematical programming (90-XX) 10 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) 5 Probability theory and stochastic processes (60-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)