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Author ID: dupaigne.louis Recent zbMATH articles by "Dupaigne, Louis"
Published as: Dupaigne, Louis; Dupaigne, L.

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 1,444 times in 1,084 Documents Cited by Year
Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076
Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick
191
2011
On a non-local equation arising in population dynamics. Zbl 1133.35056
Coville, Jerome; Dupaigne, Louis
145
2007
Stable solutions of elliptic partial differential equations. Zbl 1228.35004
Dupaigne, Louis
127
2011
Propagation speed of travelling fronts in non local reaction-diffusion equations. Zbl 1069.45008
Coville, Jérôme; Dupaigne, Louis
81
2005
A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem. Zbl 1317.35054
Dávila, Juan; Dupaigne, Louis; Wang, Kelei; Wei, Juncheng
68
2014
Back to the Keller-Osserman condition for boundary blow-up solutions. Zbl 1137.35030
Dumont, Serge; Dupaigne, Louis; Goubet, Olivier; Rădulescu, Vicentiu
67
2007
Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\). Zbl 1406.35126
Dupaigne, Louis; Farina, Alberto
64
2010
Lane-Emden-Fowler equations with convection and singular potential. Zbl 1122.35034
Dupaigne, Louis; Ghergu, Marius; Rădulescu, Vicenţiu
60
2007
On a semilinear elliptic equation with inverse-square potential. Zbl 1161.35383
Brezis, Haïm; Dupaigne, Louis; Tesei, Alberto
54
2005
A nonlinear elliptic PDE with the inverse square potential. Zbl 1034.35043
Dupaigne, Louis
52
2002
On the fractional Lane-Emden equation. Zbl 1515.35311
Dávila, Juan; Dupaigne, Louis; Wei, Juncheng
45
2017
Stable solutions for the bilaplacian with exponential nonlinearity. Zbl 1138.35022
Dávila, Juan; Dupaigne, Louis; Guerra, Ignacio; Montenegro, Marcelo
39
2007
Partial regularity of finite Morse index solutions to the Lane-Emden equation. Zbl 1215.35076
Dávila, Juan; Dupaigne, Louis; Farina, Alberto
37
2011
The extremal solution of a boundary reaction problem. Zbl 1156.35039
Dávila, Juan; Dupaigne, Louis; Montenegro, Marcelo
37
2008
Hardy-type inequalities. Zbl 1083.26012
Dávila, J.; Dupaigne, L.
36
2004
The Gel’fand problem for the biharmonic operator. Zbl 1284.35162
Dupaigne, Louis; Ghergu, Marius; Goubet, Olivier; Warnault, Guillaume
31
2013
Nonhomogeneous boundary conditions for the spectral fractional Laplacian. Zbl 1372.35327
Abatangelo, Nicola; Dupaigne, Louis
30
2017
Entire large solutions for semilinear elliptic equations. Zbl 1260.35054
Dupaigne, Louis; Ghergu, Marius; Goubet, Olivier; Warnault, Guillaume
25
2012
Singularities of positive supersolutions in elliptic PDEs. Zbl 1133.35335
Dupaigne, Louis; Ponce, Augusto C.
25
2004
Comparison results for PDEs with a singular potential. Zbl 1040.35006
Dávila, Juan; Dupaigne, Louis
23
2003
Liouville theorems for stable solutions of semilinear elliptic equations with convex nonlinearities. Zbl 1167.35364
Dupaigne, L.; Farina, A.
21
2009
Perturbing singular solutions of the Gelfand problem. Zbl 1154.35047
Dávila, J.; Dupaigne, L.
20
2007
Elliptic equations with vertical asymptotes in the nonlinear term. Zbl 1132.35366
Dupaigne, Louis; Ponce, Augusto C.; Porretta, Alessio
18
2006
Decay of solutions to a water wave model with a nonlocal viscous dispersive term. Zbl 1198.35190
Chen, Min; Dumont, Serge; Dupaigne, Louis; Goubet, Olivier
17
2010
Boundary blow-up solutions in the unit ball: asymptotics, uniqueness and symmetry. Zbl 1195.35146
Costin, O.; Dupaigne, L.
17
2010
A Liouville theorem for non local elliptic equations. Zbl 1218.35243
Dupaigne, Louis; Sire, Yannick
16
2010
Semilinear elliptic PDEs with a singular potential. Zbl 1211.35113
Dupaigne, Louis; Nedev, Gueorgui
15
2002
Regularity of the extremal solutions for the Liouville system. Zbl 1295.35154
Dupaigne, Louis; Farina, Alberto; Sirakov, Boyan
14
2013
Uniqueness of large solutions. Zbl 1250.35072
Costin, O.; Dupaigne, L.; Goubet, O.
12
2012
A new critical curve for the Lane-Emden system. Zbl 1285.35021
Chen, Wenjing; Dupaigne, Louis; Ghergu, Marius
9
2014
Boundary blow-up solutions of cooperative systems. Zbl 1175.35045
Dávila, Juan; Dupaigne, Louis; Goubet, Olivier; Martínez, Salomé
8
2009
The Lane-Emden equation in strips. Zbl 1391.35155
Dupaigne, Louis; Harrabi, Abdellaziz
8
2017
A Liouville-type theorem for the Lane-Emden equation in a half-space. Zbl 1491.35089
Dupaigne, Louis; Sirakov, Boyan; Souplet, Philippe
8
2022
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains. Zbl 1490.35119
Dupaigne, Louis; Farina, Alberto
7
2022
Borel summation of adiabatic invariants. Zbl 1059.34061
Costin, O.; Dupaigne, L.; Kruskal, M. D.
4
2004
Travelling fronts in integrodifferential equations. Zbl 1028.45005
Coville, Jérome; Dupaigne, Louis
4
2003
Regularity and symmetry for semilinear elliptic equations in bounded domains. Zbl 1512.35268
Dupaigne, Louis; Farina, Alberto
4
2023
Symmetry: if, but only if? (Symétrie: si, mais seulement si?) Zbl 1222.35071
Dupaigne, Louis
2
2010
Sobolev’s inequality under a curvature-dimension condition. Zbl 1522.35015
Dupaigne, Louis; Gentil, Ivan; Zugmeyer, Simon
2
2023
Liouville-type theorems for the Lane-Emden equation in the half-space and cones. Zbl 1512.35328
Dupaigne, Louis; Farina, Alberto; Petitt, Troy
1
2023
Regularity and symmetry for semilinear elliptic equations in bounded domains. Zbl 1512.35268
Dupaigne, Louis; Farina, Alberto
4
2023
Sobolev’s inequality under a curvature-dimension condition. Zbl 1522.35015
Dupaigne, Louis; Gentil, Ivan; Zugmeyer, Simon
2
2023
Liouville-type theorems for the Lane-Emden equation in the half-space and cones. Zbl 1512.35328
Dupaigne, Louis; Farina, Alberto; Petitt, Troy
1
2023
A Liouville-type theorem for the Lane-Emden equation in a half-space. Zbl 1491.35089
Dupaigne, Louis; Sirakov, Boyan; Souplet, Philippe
8
2022
Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains. Zbl 1490.35119
Dupaigne, Louis; Farina, Alberto
7
2022
On the fractional Lane-Emden equation. Zbl 1515.35311
Dávila, Juan; Dupaigne, Louis; Wei, Juncheng
45
2017
Nonhomogeneous boundary conditions for the spectral fractional Laplacian. Zbl 1372.35327
Abatangelo, Nicola; Dupaigne, Louis
30
2017
The Lane-Emden equation in strips. Zbl 1391.35155
Dupaigne, Louis; Harrabi, Abdellaziz
8
2017
A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem. Zbl 1317.35054
Dávila, Juan; Dupaigne, Louis; Wang, Kelei; Wei, Juncheng
68
2014
A new critical curve for the Lane-Emden system. Zbl 1285.35021
Chen, Wenjing; Dupaigne, Louis; Ghergu, Marius
9
2014
The Gel’fand problem for the biharmonic operator. Zbl 1284.35162
Dupaigne, Louis; Ghergu, Marius; Goubet, Olivier; Warnault, Guillaume
31
2013
Regularity of the extremal solutions for the Liouville system. Zbl 1295.35154
Dupaigne, Louis; Farina, Alberto; Sirakov, Boyan
14
2013
Entire large solutions for semilinear elliptic equations. Zbl 1260.35054
Dupaigne, Louis; Ghergu, Marius; Goubet, Olivier; Warnault, Guillaume
25
2012
Uniqueness of large solutions. Zbl 1250.35072
Costin, O.; Dupaigne, L.; Goubet, O.
12
2012
Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076
Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick
191
2011
Stable solutions of elliptic partial differential equations. Zbl 1228.35004
Dupaigne, Louis
127
2011
Partial regularity of finite Morse index solutions to the Lane-Emden equation. Zbl 1215.35076
Dávila, Juan; Dupaigne, Louis; Farina, Alberto
37
2011
Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\). Zbl 1406.35126
Dupaigne, Louis; Farina, Alberto
64
2010
Decay of solutions to a water wave model with a nonlocal viscous dispersive term. Zbl 1198.35190
Chen, Min; Dumont, Serge; Dupaigne, Louis; Goubet, Olivier
17
2010
Boundary blow-up solutions in the unit ball: asymptotics, uniqueness and symmetry. Zbl 1195.35146
Costin, O.; Dupaigne, L.
17
2010
A Liouville theorem for non local elliptic equations. Zbl 1218.35243
Dupaigne, Louis; Sire, Yannick
16
2010
Symmetry: if, but only if? (Symétrie: si, mais seulement si?) Zbl 1222.35071
Dupaigne, Louis
2
2010
Liouville theorems for stable solutions of semilinear elliptic equations with convex nonlinearities. Zbl 1167.35364
Dupaigne, L.; Farina, A.
21
2009
Boundary blow-up solutions of cooperative systems. Zbl 1175.35045
Dávila, Juan; Dupaigne, Louis; Goubet, Olivier; Martínez, Salomé
8
2009
The extremal solution of a boundary reaction problem. Zbl 1156.35039
Dávila, Juan; Dupaigne, Louis; Montenegro, Marcelo
37
2008
On a non-local equation arising in population dynamics. Zbl 1133.35056
Coville, Jerome; Dupaigne, Louis
145
2007
Back to the Keller-Osserman condition for boundary blow-up solutions. Zbl 1137.35030
Dumont, Serge; Dupaigne, Louis; Goubet, Olivier; Rădulescu, Vicentiu
67
2007
Lane-Emden-Fowler equations with convection and singular potential. Zbl 1122.35034
Dupaigne, Louis; Ghergu, Marius; Rădulescu, Vicenţiu
60
2007
Stable solutions for the bilaplacian with exponential nonlinearity. Zbl 1138.35022
Dávila, Juan; Dupaigne, Louis; Guerra, Ignacio; Montenegro, Marcelo
39
2007
Perturbing singular solutions of the Gelfand problem. Zbl 1154.35047
Dávila, J.; Dupaigne, L.
20
2007
Elliptic equations with vertical asymptotes in the nonlinear term. Zbl 1132.35366
Dupaigne, Louis; Ponce, Augusto C.; Porretta, Alessio
18
2006
Propagation speed of travelling fronts in non local reaction-diffusion equations. Zbl 1069.45008
Coville, Jérôme; Dupaigne, Louis
81
2005
On a semilinear elliptic equation with inverse-square potential. Zbl 1161.35383
Brezis, Haïm; Dupaigne, Louis; Tesei, Alberto
54
2005
Hardy-type inequalities. Zbl 1083.26012
Dávila, J.; Dupaigne, L.
36
2004
Singularities of positive supersolutions in elliptic PDEs. Zbl 1133.35335
Dupaigne, Louis; Ponce, Augusto C.
25
2004
Borel summation of adiabatic invariants. Zbl 1059.34061
Costin, O.; Dupaigne, L.; Kruskal, M. D.
4
2004
Comparison results for PDEs with a singular potential. Zbl 1040.35006
Dávila, Juan; Dupaigne, Louis
23
2003
Travelling fronts in integrodifferential equations. Zbl 1028.45005
Coville, Jérome; Dupaigne, Louis
4
2003
A nonlinear elliptic PDE with the inverse square potential. Zbl 1034.35043
Dupaigne, Louis
52
2002
Semilinear elliptic PDEs with a singular potential. Zbl 1211.35113
Dupaigne, Louis; Nedev, Gueorgui
15
2002
all top 5

Cited by 1,149 Authors

19 Dupaigne, Louis
18 Cowan, Craig
17 Guo, Zongming
17 Li, Wan-Tong
17 Shen, Wenxian
16 Le, Phuong
15 Chen, Huyuan
15 Coville, Jerome
15 Feng, Meiqiang
15 Goubet, Olivier
15 Otárola, Enrique
14 Dávila, Juan
14 Fazly, Mostafa
13 Farina, Alberto
12 Du, Yihong
12 Duong, Anh Tuan
12 García-Melián, Jorge
12 Harrabi, Abdellaziz
12 Rahal, Belgacem
11 Ponce, Augusto C.
11 Salgado, Abner J.
11 Vazquez, Juan Luis
11 Wei, Juncheng
10 Abdellaoui, Boumediene
10 Aghajani, Asadollah
10 Ghergu, Marius
10 Rossi, Julio Daniel
10 Wang, Kelei
10 Zhang, Xuemei
9 Maire, Luis
9 Nguyen Phuoc Tai
9 Tertikas, Achilles
9 Zaidi, Cherif
9 Zou, Wenming
8 Antil, Harbir
8 Ferrero, Alberto
8 Filippas, Stathis
8 Gkikas, Konstantinos T.
8 López-Gómez, Julián
8 Musina, Roberta
8 Peral Alonso, Ireneo
8 Primo, Ana R. M.
8 Sun, Jianwen
8 Tesei, Alberto
8 Yuan, Rong
7 Alfaro, Matthieu
7 Godoy, Tomás F.
7 Miyamoto, Yasuhito
7 Nochetto, Ricardo Horacio
7 Santos, Carlos Alberto P.
7 Sire, Yannick
7 Tkachov, Pasha
7 Valdinoci, Enrico
7 Wang, Zhicheng
7 Xu, Zhaoquan
7 Yu, Zhixian
7 Zhang, Li
6 Ambrosio, Vincenzo
6 Cabré, Xavier
6 Chan, Hardy
6 Filippucci, Roberta
6 Kang, Dongsheng
6 Li, Congming
6 Long, Wei
6 Marcus, Moshe M.
6 Maz’ya, Vladimir Gilelevich
6 Mohammed, Ahmed
6 Nazarov, Alexander I.
6 Ni, Wenjie
6 Smarrazzo, Flavia
6 Wan, Haitao
6 Yang, Hongwei
6 Yang, Jianfu
6 Ye, Dong
6 Zhou, Feng
5 Berchio, Elvise
5 Cheng, Hongmei
5 Dipierro, Serena
5 Ducrot, Arnaud
5 Fall, Mouhamed Moustapha
5 Finkelshteĭn, Dmitriĭ Leonidovich
5 Hamel, François
5 Hu, Lianggen
5 Lai, Baishun
5 Manoubi, Imen
5 Martínez, Salomé
5 Molica Bisci, Giovanni
5 Pan, Shuxia
5 Peng, Shuangjie
5 Quaas, Alexander
5 Rădulescu, Vicenţiu D.
5 Selmi, Abdelbaki
5 Shen, Zhongwei
5 Sourdis, Christos
5 Wan, FangShu
5 Wang, Ying
5 Warnault, Guillaume
5 Yang, Hui
5 Yang, Minbo
5 Yang, Wen
...and 1,049 more Authors
all top 5

Cited in 204 Serials

79 Journal of Differential Equations
70 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
54 Journal of Mathematical Analysis and Applications
46 Discrete and Continuous Dynamical Systems
42 Calculus of Variations and Partial Differential Equations
30 Journal of Functional Analysis
29 Communications on Pure and Applied Analysis
23 Proceedings of the American Mathematical Society
18 Advances in Nonlinear Analysis
17 Complex Variables and Elliptic Equations
16 Annali di Matematica Pura ed Applicata. Serie Quarta
16 Communications in Contemporary Mathematics
15 Nonlinearity
15 Discrete and Continuous Dynamical Systems. Series B
15 Advanced Nonlinear Studies
14 Journal d’Analyse Mathématique
14 Applied Mathematics Letters
14 NoDEA. Nonlinear Differential Equations and Applications
14 Boundary Value Problems
14 Discrete and Continuous Dynamical Systems. Series S
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Mathematical Methods in the Applied Sciences
12 Applied Mathematics and Computation
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Journal of Dynamics and Differential Equations
12 Nonlinear Analysis. Real World Applications
11 Mathematische Annalen
10 Applicable Analysis
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Mathematische Nachrichten
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Transactions of the American Mathematical Society
9 SIAM Journal on Mathematical Analysis
8 Advances in Mathematics
7 Archive for Rational Mechanics and Analysis
7 Fractional Calculus & Applied Analysis
7 Journal of Evolution Equations
6 Journal of Mathematical Physics
6 Communications in Partial Differential Equations
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Journal of the European Mathematical Society (JEMS)
6 Mediterranean Journal of Mathematics
6 Science China. Mathematics
6 AIMS Mathematics
6 Electronic Research Archive
5 Computers & Mathematics with Applications
5 Acta Applicandae Mathematicae
5 Journal of Scientific Computing
5 Acta Mathematica Sinica. English Series
5 Journal of Elliptic and Parabolic Equations
5 Mathematics in Engineering
4 Journal of Mathematical Biology
4 Mathematical Notes
4 Journal of the London Mathematical Society. Second Series
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 SIAM Journal on Control and Optimization
4 Numerical Methods for Partial Differential Equations
4 Japan Journal of Industrial and Applied Mathematics
4 Topological Methods in Nonlinear Analysis
4 Journal of Mathematical Sciences (New York)
4 Journal of Inequalities and Applications
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 SN Partial Differential Equations and Applications
3 Communications on Pure and Applied Mathematics
3 Rocky Mountain Journal of Mathematics
3 Manuscripta Mathematica
3 Numerische Mathematik
3 Asymptotic Analysis
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 The Journal of Geometric Analysis
3 Potential Analysis
3 SIAM Journal on Scientific Computing
3 Electronic Journal of Differential Equations (EJDE)
3 Differential Equations and Dynamical Systems
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Communications in Nonlinear Science and Numerical Simulation
3 Annales Henri Poincaré
3 Milan Journal of Mathematics
3 International Journal of Biomathematics
3 Bulletin of Mathematical Sciences
3 Journal of Applied Analysis and Computation
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Journal of Computational Physics
2 Chaos, Solitons and Fractals
2 Acta Mathematica Vietnamica
2 Bulletin of the London Mathematical Society
2 Mathematics and Computers in Simulation
2 Quaestiones Mathematicae
2 Results in Mathematics
2 Ricerche di Matematica
2 SIAM Journal on Numerical Analysis
2 Zeitschrift für Analysis und ihre Anwendungen
2 Chinese Annals of Mathematics. Series B
2 Bulletin of the Iranian Mathematical Society
2 Applied Numerical Mathematics
2 Revista Matemática Iberoamericana
2 Forum Mathematicum
2 Journal of Integral Equations and Applications
...and 104 more Serials
all top 5

Cited in 41 Fields

997 Partial differential equations (35-XX)
104 Biology and other natural sciences (92-XX)
68 Numerical analysis (65-XX)
66 Integral equations (45-XX)
65 Real functions (26-XX)
62 Operator theory (47-XX)
41 Functional analysis (46-XX)
31 Ordinary differential equations (34-XX)
28 Global analysis, analysis on manifolds (58-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
23 Potential theory (31-XX)
18 Dynamical systems and ergodic theory (37-XX)
15 Fluid mechanics (76-XX)
12 Probability theory and stochastic processes (60-XX)
11 Differential geometry (53-XX)
9 Quantum theory (81-XX)
7 Measure and integration (28-XX)
7 Approximations and expansions (41-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Mechanics of deformable solids (74-XX)
4 Difference and functional equations (39-XX)
3 Functions of a complex variable (30-XX)
3 Special functions (33-XX)
2 History and biography (01-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Integral transforms, operational calculus (44-XX)
2 Computer science (68-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year