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Author ID: souplet.philippe Recent zbMATH articles by "Souplet, Philippe"
Published as: Souplet, Philippe; Souplet, Ph.
Documents Indexed: 121 Publications since 1991, including 2 Books
Co-Authors: 45 Co-Authors with 79 Joint Publications
1,089 Co-Co-Authors
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Serials

6 Journal of Differential Equations
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 SIAM Journal on Mathematical Analysis
5 Discrete and Continuous Dynamical Systems
4 Proceedings of the American Mathematical Society
4 Comptes Rendus de l’Académie des Sciences. Série I
3 Communications in Mathematical Physics
3 Advances in Mathematics
3 Indiana University Mathematics Journal
3 Mathematische Annalen
3 Differential and Integral Equations
3 Communications in Partial Differential Equations
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
3 Nonlinear Analysis. Theory, Methods & Applications
2 Archive for Rational Mechanics and Analysis
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Colloquium Mathematicum
2 Duke Mathematical Journal
2 Journal of Functional Analysis
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Asymptotic Analysis
2 IMRN. International Mathematics Research Notices
2 Calculus of Variations and Partial Differential Equations
2 Advances in Differential Equations
2 Journal of Evolution Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Birkhäuser Advanced Texts. Basler Lehrbücher
1 Houston Journal of Mathematics
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Portugaliae Mathematica
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 European Journal of Applied Mathematics
1 Acta Mathematica Universitatis Comenianae. New Series
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Dynamics and Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 The Journal of Fourier Analysis and Applications
1 Interfaces and Free Boundaries
1 Journal of the European Mathematical Society (JEMS)
1 Portugaliae Mathematica. Nova Série
1 Advanced Nonlinear Studies
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Networks and Heterogeneous Media
1 Discrete and Continuous Dynamical Systems. Series S
1 SN Partial Differential Equations and Applications

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 2,830 times in 1,698 Documents Cited by Year
Superlinear parabolic problems. Blow-up, global existence and steady states. Zbl 1128.35003
Quittner, Pavol; Souplet, Philippe
500
2007
Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems. Zbl 1146.35038
Poláčik, Peter; Quittner, Pavol; Souplet, Philippe
182
2007
Blow-up in nonlocal reaction-diffusion equations. Zbl 0909.35073
Souplet, Philippe
155
1998
Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source. Zbl 0923.35077
Souplet, Philippe
153
1999
The proof of the Lane-Emden conjecture in four space dimensions. Zbl 1171.35035
Souplet, Philippe
120
2009
Nondegeneracy of blow-up points for the parabolic Keller-Segel system. Zbl 1302.35075
Mizoguchi, Noriko; Souplet, Philippe
115
2014
Sharp gradient estimate and Yau’s Liouville theorem for the heat equation on noncompact manifolds. Zbl 1109.58025
Souplet, Philippe; Zhang, Qi S.
98
2006
Singularity and decay estimates in superlinear problems via Liouville-type theorems. II: Parabolic equations. Zbl 1122.35051
Poláčik, Peter; Quittner, Pavol; Souplet, Philippe
68
2007
Liouville-type theorems and bounds of solutions of Hardy-Hénon equations. Zbl 1233.35093
Phan Quoc Hung; Souplet, Philippe
59
2012
The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
57
2002
Finite time blow-up for a nonlinear parabolic equation with a gradient term and applications. Zbl 0858.35067
Souplet, Philippe
53
1996
Optimal condition for non-simultaneous blow-up in a reaction-diffusion system. Zbl 1059.35049
Souplet, Philippe; Tayachi, Slim
43
2004
Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions. Zbl 1015.35016
Souplet, Philippe
41
2002
A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces. Zbl 1113.35062
Quittner, P.; Souplet, Ph.
41
2004
Superlinear parabolic problems. Blow-up, global existence and steady states. 2nd revised and updated edition. Zbl 1423.35004
Quittner, Pavol; Souplet, Philippe
40
2019
Self-similar subsolutions and blowup for nonlinear parabolic equations. Zbl 0892.35011
Souplet, Philippe; Weissler, Fred B.
39
1997
Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system. Zbl 1212.35219
Rossi, Julio D.; Souplet, Philippe
38
2005
Recent results and open problems on parabolic equations with gradient nonlinearities. Zbl 0982.35054
Souplet, Philippe
36
2001
Global solutions of inhomogeneous Hamilton-Jacobi equations. Zbl 1149.35050
Souplet, Philippe; Zhang, Qi S.
35
2006
Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions. Zbl 0993.35023
Fila, Marek; Souplet, Philippe; Weissler, Fred B.
28
2001
Decay of global solutions, stability and blow up for a reaction-diffusion problem with free boundary. Zbl 0959.35087
Ghidouche, Hamid; Souplet, Philippe; Tarzia, Domingo
27
2001
Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem. Zbl 1006.35103
Fila, Marek; Souplet, Philippe
27
2001
Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains. Zbl 1218.35052
Yuxiang, Li; Souplet, Philippe
26
2010
Symmetry of components for semilinear elliptic systems. Zbl 1255.35111
Quittner, Pavol; Souplet, Philippe
25
2012
The blow-up rate for semilinear parabolic problems on general domains. Zbl 0993.35046
Fila, Marek; Souplet, Philippe
24
2001
Uniform blow up profile and boundary behaviour for a non-local reaction-diffusion equation with critical damping. Zbl 1058.35121
Souplet, Philippe
21
2004
Grow-up rate and refined asymptotics for a two-dimensional Patlak-Keller-Segel model in a disk. Zbl 1387.35354
Kavallaris, Nikos I.; Souplet, Philippe
21
2009
Optimal Liouville-type theorems for noncooperative elliptic Schrödinger systems and applications. Zbl 1254.35077
Quittner, Pavol; Souplet, Philippe
21
2012
Critical blowup exponents for a system of reaction-diffusion equations with absorption. Zbl 0996.35029
Bedjaoui, Nabil; Souplet, Philippe
19
2002
Optimal uniqueness condition for the antiperiodic solutions of some nonlinear parabolic equations. Zbl 0892.35078
Souplet, Philippe
19
1998
Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state. Zbl 1029.35106
Souplet, Philippe; Weissler, Fred B.
19
2003
Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory. Zbl 1099.35049
Souplet, Philippe
19
2004
Global existence of solutions for a chemotaxis-type system arising in crime modelling. Zbl 1284.35445
Manásevich, Raúl; Phan Quoc Hung; Souplet, Philippe
19
2013
Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena. Zbl 1072.35098
Rodriguez-Bernal, Anibal; Arrieta, José M.; Souplet, Philippe
19
2004
Extinction and non-extinction for viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1046.35053
Benachour, S.; Laurençot, Ph.; Schmitt, D.; Souplet, Ph.
18
2002
On the growth of mass for a viscous Hamilton-Jacobi equation. Zbl 1031.35054
Laurençot, Philippe; Souplet, Philippe
18
2003
Exact self-similar blow-up of solutions of a semilinear parabolic equation with a nonlinear gradient term. Zbl 0990.35061
Souplet, Philippe; Tayachi, Slim; Weissler, Fred B.
18
1996
Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065
Souplet, Philippe; Weissler, Fred B.
18
1999
Single-point blow-up for a semilinear parabolic system. Zbl 1171.35059
Souplet, Philippe
18
2009
Initial blow-up rates and universal bounds for nonlinear heat equations. Zbl 1044.35027
Quittner, Pavol; Souplet, Philippe; Winkler, Michael
17
2004
Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem. Zbl 1116.35070
Souplet, Philippe; Vázquez, Juan Luis
17
2006
Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up. Zbl 1063.35087
Guo, Jong-Shenq; Souplet, Philippe
17
2005
Optimal regularity conditions for elliptic problems via \(L^p_\delta\)-spaces. Zbl 1130.35057
Souplet, Philippe
17
2005
Uniqueness and nonuniqueness results for the antiperiodic solutions of some second-order nonlinear evolution equations. Zbl 0855.34075
Souplet, Philippe
16
1996
Geometry of unbounded domains, Poincaré inequalities and stability in semilinear parabolic equations. Zbl 0926.35064
Souplet, Philippe
16
1999
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions \({n\geq 3}\). Zbl 1411.35140
Souplet, Philippe; Winkler, Michael
16
2019
Global existence for reaction-diffusion systems with dissipation of mass and quadratic growth. Zbl 07003366
Souplet, Philippe
15
2018
Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred
15
2011
Admissible \(L_p\) norms for local existence and for continuation in semilinear parabolic systems are not the same. Zbl 1006.35048
Quittner, Pavol; Souplet, Philippe
14
2001
Blowup rates for nonlinear heat equations with gradient terms and for parabolic inequalities. Zbl 0984.35077
Souplet, Philippe; Tayachi, Slim
14
2001
Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems. Zbl 1298.35060
Montaru, Alexandre; Sirakov, Boyan; Souplet, Philippe
14
2014
Universal blow-up rates for a semilinear heat equation and applications. Zbl 1028.35065
Matos, Júlia; Souplet, Philippe
13
2003
No touchdown at zero points of the permittivity profile for the MEMS problem. Zbl 1332.35160
Guo, Jong-Shenq; Souplet, Philippe
13
2015
Stability and continuous dependence of solutions of one-phase Stefan problems for semilinear parabolic equations. Zbl 1007.35040
Souplet, Philippe
12
2002
On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. (Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire.) Zbl 0938.35068
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
12
1999
Analysis of the loss of boundary conditions for the diffusive Hamilton-Jacobi equation. Zbl 1391.35078
Porretta, Alessio; Souplet, Philippe
12
2017
Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in \(\mathbb{R}^n\). Zbl 1372.35157
Souplet, Philippe
12
2017
Improved conditions for single-point blow-up in reaction-diffusion systems. Zbl 1320.35097
Mahmoudi, Nejib; Souplet, Philippe; Tayachi, Slim
12
2015
Stability for semilinear parabolic equations with decaying potentials in \(\mathbb{R}^n\) and dynamical approach to the existence of ground states. Zbl 1017.35033
Souplet, Philippe; Zhang, Qi S.
11
2002
Decay of heat semigroups in \(L^\infty\) and applications to nonlinear parabolic problems in unbounded domains. Zbl 0954.35032
Souplet, Philippe
11
2000
The profile of boundary gradient blowup for the diffusive Hamilton-Jacobi equation. Zbl 1405.35097
Porretta, Alessio; Souplet, Philippe
11
2017
Nonexistence of global solutions to some differential inequalities of the second order and applications. Zbl 0843.34017
Souplet, Philippe
11
1995
Liouville-type theorems and universal bounds for nonnegative solutions of the porous medium equation with source. Zbl 1195.35077
Ammar, Kaouther; Souplet, Philippe
9
2010
Parabolic Liouville-type theorems via their elliptic counterparts. Zbl 1306.35066
Quittner, Pavol; Souplet, Philippe
9
2011
Excluding blowup at zero points of the potential by means of Liouville-type theorems. Zbl 1394.35229
Guo, Jong-Shenq; Souplet, Philippe
8
2018
On the asymptotics of global solutions for a semilinear heat equation in unbounded domains. (Sur l’asymptotique des solutions globales pour une équation de la chaleur semi-linéaire dans des domaines non bornés.) Zbl 0860.35051
Souplet, Philippe
8
1996
Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation. Zbl 1437.35112
Porretta, Alessio; Souplet, Philippe
8
2020
Finite time blow up for a nonlinear heat equation. (Résultats d’explosion en temps fini pour une équation de la chaleur non linéaire.) Zbl 0843.35044
Souplet, Philippe
7
1995
Small time boundary behavior of solutions of parabolic equations with noncompatible data. Zbl 0959.35079
Martel, Yvan; Souplet, Philippe
7
2000
Liouville-type theorems for elliptic Schrödinger systems associated with copositive matrices. Zbl 1263.35100
Souplet, Philippe
7
2012
Non-self-similar dead-core rate for the fast diffusion equation with strong absorption. Zbl 1194.35059
Guo, Jong-Shenq; Ling, Chia-Tung; Souplet, Philippe
7
2010
A priori estimates and bifurcation of solutions for an elliptic equation with semidefinite critical growth in the gradient. Zbl 1318.35018
Souplet, Philippe
7
2015
Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with \(p\)-Laplacian diffusion. Zbl 1353.35070
Attouchi, Amal; Souplet, Philippe
6
2017
A Liouville-type theorem for the 3-dimensional parabolic Gross-Pitaevskii and related systems. Zbl 1362.35063
Phan, Quoc Hung; Souplet, Philippe
6
2016
Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities. Zbl 1383.35098
Souplet, Philippe; Tayachi, Slim
6
2016
Existence of exceptional growing-up solutions for a class of nonlinear second order ordinary differential equations. Zbl 0849.34024
Souplet, Philippe
6
1995
The influence of gradient perturbations on blow-up asymptotics in semilinear parabolic problems: a survey. Zbl 1094.35060
Souplet, Philippe
6
2005
Bounds of global solutions of parabolic problems with nonlinear boundary conditions. Zbl 1080.35039
Quittner, Pavol; Souplet, Philippe
6
2003
A survey on \(L^p_\delta\) spaces and their applications to nonlinear elliptic and parabolic problems. Zbl 1080.35026
Souplet, Philippe
6
2004
An optimal Liouville-type theorem for radial entire solutions of the porous medium equation with source. Zbl 1172.35038
Souplet, Philippe
5
2009
Critical exponents, special large-time behavior and oscillatory blow-up in nonlinear ODE’s. Zbl 1015.34038
Souplet, Philippe
5
1998
Oscillatory blow-up in nonlinear second order ODE’s: The critical case. Zbl 1048.34074
Balabane, Mikhaël; Jazar, Mustapha; Souplet, Philippe
5
2003
A priori and universal estimates for global solutions of superlinear degenerate parabolic equations. Zbl 1072.35099
Souplet, Philippe
5
2002
A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton-Jacobi equations. Zbl 1436.35010
Filippucci, Roberta; Pucci, Patrizia; Souplet, Philippe
5
2020
Blow-up rate of solutions of parabolic problems with nonlinear boundary conditions. Zbl 1364.35175
Quittner, Pavol; Souplet, Philippe
5
2012
A note on diffusion-induced blow-up. Zbl 1145.35068
Souplet, Philippe
4
2007
Self-similar subsolutions and blow-up for nonlinear parabolic equations. Zbl 0893.35056
Souplet, Philippe; Weissler, Fred B.
4
1997
Étude des solutions globales de certaines équations différentielles ordinaires du second ordre non linéaires. (Study of the global solutions of certain nonlinear second order ordinary differential equations). Zbl 0738.34003
Souplet, Philippe
4
1991
A priori estimates of global solutions of superlinear parabolic problems without variational structure. Zbl 1029.35049
Quittner, Pavol; Souplet, Philippe
4
2003
An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008
Haraux, Alain; Souplet, Philippe
4
2004
Optimal condition for blow-up of the critical \(L^q\) norm for the semilinear heat equation. Zbl 1420.35139
Mizoguchi, Noriko; Souplet, Philippe
4
2019
Global existence from single-component \(L_{p}\) estimates in a semilinear reaction-diffusion system. Zbl 0993.35048
Quittner, Pavol; Souplet, Philippe
3
2002
Optimal growth rates for a viscous Hamilton-Jacobi equation. Zbl 1090.35036
Laurençot, Philippe; Souplet, Philippe
3
2005
The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection. Zbl 1303.92086
Souplet, Philippe; Winkler, Michael
3
2011
Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities. Zbl 1439.35199
Jleli, Mohamed; Samet, Bessem; Souplet, Philippe
3
2020
A simplified approach to the refined blowup behavior for the nonlinear heat equation. Zbl 1411.35176
Souplet, Philippe
3
2019
Small time boundary estimates for solutions of the heat equation with non-compatible data. (Estimation optimales en temps petit et près de la frontière pour les solutions de l’équation de la chaleur avec données non compatibles.) Zbl 0990.35051
Martel, Yvan; Souplet, Philippe
2
1998
An optimal uniqueness condition for the antiperiodic solutions of parabolic evolution equations. (Une condition optimale d’unicité pour les solutions antipériodiques d’équations d’évolution paraboliques.) Zbl 0809.35036
Souplet, Philippe
2
1994
Gradient bounds for solutions of semilinear parabolic equations without Bernstein’s quadratic condition. Zbl 1073.35045
Bartier, Jean-Philippe; Souplet, Philippe
2
2004
Instantaneous smoothing estimates for the Hermite semigroup in uniformly local spaces and related nonlinear equations. Zbl 1052.35090
Matos, Júlia; Souplet, Philippe
2
2004
The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients. Zbl 1471.35138
Sirakov, Boyan; Souplet, Philippe
2
2021
Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation. Zbl 1437.35112
Porretta, Alessio; Souplet, Philippe
8
2020
A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton-Jacobi equations. Zbl 1436.35010
Filippucci, Roberta; Pucci, Patrizia; Souplet, Philippe
5
2020
Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities. Zbl 1439.35199
Jleli, Mohamed; Samet, Bessem; Souplet, Philippe
3
2020
A Liouville-type theorem for an elliptic equation with superquadratic growth in the gradient. Zbl 1440.35106
Filippucci, Roberta; Pucci, Patrizia; Souplet, Philippe
2
2020
Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations. Zbl 1448.35051
Attouchi, Amal; Souplet, Philippe
2
2020
Superlinear parabolic problems. Blow-up, global existence and steady states. 2nd revised and updated edition. Zbl 1423.35004
Quittner, Pavol; Souplet, Philippe
40
2019
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions \({n\geq 3}\). Zbl 1411.35140
Souplet, Philippe; Winkler, Michael
16
2019
Optimal condition for blow-up of the critical \(L^q\) norm for the semilinear heat equation. Zbl 1420.35139
Mizoguchi, Noriko; Souplet, Philippe
4
2019
A simplified approach to the refined blowup behavior for the nonlinear heat equation. Zbl 1411.35176
Souplet, Philippe
3
2019
No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem. Zbl 1444.35104
Esteve, Carlos; Souplet, Philippe
2
2019
Corrigendum to: “Nondegeneracy of blow-up points for the parabolic Keller-Segel system”. Zbl 1415.35062
Mizoguchi, N.; Souplet, Ph.
2
2019
Global existence for reaction-diffusion systems with dissipation of mass and quadratic growth. Zbl 07003366
Souplet, Philippe
15
2018
Excluding blowup at zero points of the potential by means of Liouville-type theorems. Zbl 1394.35229
Guo, Jong-Shenq; Souplet, Philippe
8
2018
Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity. Zbl 1397.35127
Esteve, Carlos; Souplet, Philippe
1
2018
Analysis of the loss of boundary conditions for the diffusive Hamilton-Jacobi equation. Zbl 1391.35078
Porretta, Alessio; Souplet, Philippe
12
2017
Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in \(\mathbb{R}^n\). Zbl 1372.35157
Souplet, Philippe
12
2017
The profile of boundary gradient blowup for the diffusive Hamilton-Jacobi equation. Zbl 1405.35097
Porretta, Alessio; Souplet, Philippe
11
2017
Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with \(p\)-Laplacian diffusion. Zbl 1353.35070
Attouchi, Amal; Souplet, Philippe
6
2017
A Liouville-type theorem for the 3-dimensional parabolic Gross-Pitaevskii and related systems. Zbl 1362.35063
Phan, Quoc Hung; Souplet, Philippe
6
2016
Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities. Zbl 1383.35098
Souplet, Philippe; Tayachi, Slim
6
2016
No touchdown at zero points of the permittivity profile for the MEMS problem. Zbl 1332.35160
Guo, Jong-Shenq; Souplet, Philippe
13
2015
Improved conditions for single-point blow-up in reaction-diffusion systems. Zbl 1320.35097
Mahmoudi, Nejib; Souplet, Philippe; Tayachi, Slim
12
2015
A priori estimates and bifurcation of solutions for an elliptic equation with semidefinite critical growth in the gradient. Zbl 1318.35018
Souplet, Philippe
7
2015
Nondegeneracy of blow-up points for the parabolic Keller-Segel system. Zbl 1302.35075
Mizoguchi, Noriko; Souplet, Philippe
115
2014
Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems. Zbl 1298.35060
Montaru, Alexandre; Sirakov, Boyan; Souplet, Philippe
14
2014
Symmetry of components and Liouville theorems for noncooperative elliptic systems on the half-space. (Symétrie des composantes et théorèmes de Liouville pour des systèmes elliptiques non coopératifs dans le demi-espace.) Zbl 1300.35032
Montaru, Alexandre; Souplet, Philippe
2
2014
Global existence of solutions for a chemotaxis-type system arising in crime modelling. Zbl 1284.35445
Manásevich, Raúl; Phan Quoc Hung; Souplet, Philippe
19
2013
Liouville-type theorems and bounds of solutions of Hardy-Hénon equations. Zbl 1233.35093
Phan Quoc Hung; Souplet, Philippe
59
2012
Symmetry of components for semilinear elliptic systems. Zbl 1255.35111
Quittner, Pavol; Souplet, Philippe
25
2012
Optimal Liouville-type theorems for noncooperative elliptic Schrödinger systems and applications. Zbl 1254.35077
Quittner, Pavol; Souplet, Philippe
21
2012
Liouville-type theorems for elliptic Schrödinger systems associated with copositive matrices. Zbl 1263.35100
Souplet, Philippe
7
2012
Blow-up rate of solutions of parabolic problems with nonlinear boundary conditions. Zbl 1364.35175
Quittner, Pavol; Souplet, Philippe
5
2012
Classification of large-time behaviors in a reaction-diffusion system modeling diallelic selection. Zbl 1319.92032
Souplet, Philippe; Winkler, Michael
1
2012
Transversality of stable and Nehari manifolds for a semilinear heat equation. Zbl 1233.35045
Dickstein, Flavio; Mizoguchi, Noriko; Souplet, Philippe; Weissler, Fred
15
2011
Parabolic Liouville-type theorems via their elliptic counterparts. Zbl 1306.35066
Quittner, Pavol; Souplet, Philippe
9
2011
The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection. Zbl 1303.92086
Souplet, Philippe; Winkler, Michael
3
2011
Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains. Zbl 1218.35052
Yuxiang, Li; Souplet, Philippe
26
2010
Liouville-type theorems and universal bounds for nonnegative solutions of the porous medium equation with source. Zbl 1195.35077
Ammar, Kaouther; Souplet, Philippe
9
2010
Non-self-similar dead-core rate for the fast diffusion equation with strong absorption. Zbl 1194.35059
Guo, Jong-Shenq; Ling, Chia-Tung; Souplet, Philippe
7
2010
The proof of the Lane-Emden conjecture in four space dimensions. Zbl 1171.35035
Souplet, Philippe
120
2009
Grow-up rate and refined asymptotics for a two-dimensional Patlak-Keller-Segel model in a disk. Zbl 1387.35354
Kavallaris, Nikos I.; Souplet, Philippe
21
2009
Single-point blow-up for a semilinear parabolic system. Zbl 1171.35059
Souplet, Philippe
18
2009
An optimal Liouville-type theorem for radial entire solutions of the porous medium equation with source. Zbl 1172.35038
Souplet, Philippe
5
2009
Superlinear parabolic problems. Blow-up, global existence and steady states. Zbl 1128.35003
Quittner, Pavol; Souplet, Philippe
500
2007
Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems. Zbl 1146.35038
Poláčik, Peter; Quittner, Pavol; Souplet, Philippe
182
2007
Singularity and decay estimates in superlinear problems via Liouville-type theorems. II: Parabolic equations. Zbl 1122.35051
Poláčik, Peter; Quittner, Pavol; Souplet, Philippe
68
2007
A note on diffusion-induced blow-up. Zbl 1145.35068
Souplet, Philippe
4
2007
A remark on the large time behavior of solutions of viscous Hamilton-Jacobi equations. Zbl 1134.35019
Souplet, Philippe
1
2007
Sharp gradient estimate and Yau’s Liouville theorem for the heat equation on noncompact manifolds. Zbl 1109.58025
Souplet, Philippe; Zhang, Qi S.
98
2006
Global solutions of inhomogeneous Hamilton-Jacobi equations. Zbl 1149.35050
Souplet, Philippe; Zhang, Qi S.
35
2006
Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem. Zbl 1116.35070
Souplet, Philippe; Vázquez, Juan Luis
17
2006
Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system. Zbl 1212.35219
Rossi, Julio D.; Souplet, Philippe
38
2005
Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up. Zbl 1063.35087
Guo, Jong-Shenq; Souplet, Philippe
17
2005
Optimal regularity conditions for elliptic problems via \(L^p_\delta\)-spaces. Zbl 1130.35057
Souplet, Philippe
17
2005
The influence of gradient perturbations on blow-up asymptotics in semilinear parabolic problems: a survey. Zbl 1094.35060
Souplet, Philippe
6
2005
Optimal growth rates for a viscous Hamilton-Jacobi equation. Zbl 1090.35036
Laurençot, Philippe; Souplet, Philippe
3
2005
Optimal condition for non-simultaneous blow-up in a reaction-diffusion system. Zbl 1059.35049
Souplet, Philippe; Tayachi, Slim
43
2004
A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces. Zbl 1113.35062
Quittner, P.; Souplet, Ph.
41
2004
Uniform blow up profile and boundary behaviour for a non-local reaction-diffusion equation with critical damping. Zbl 1058.35121
Souplet, Philippe
21
2004
Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory. Zbl 1099.35049
Souplet, Philippe
19
2004
Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena. Zbl 1072.35098
Rodriguez-Bernal, Anibal; Arrieta, José M.; Souplet, Philippe
19
2004
Initial blow-up rates and universal bounds for nonlinear heat equations. Zbl 1044.35027
Quittner, Pavol; Souplet, Philippe; Winkler, Michael
17
2004
A survey on \(L^p_\delta\) spaces and their applications to nonlinear elliptic and parabolic problems. Zbl 1080.35026
Souplet, Philippe
6
2004
An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008
Haraux, Alain; Souplet, Philippe
4
2004
Gradient bounds for solutions of semilinear parabolic equations without Bernstein’s quadratic condition. Zbl 1073.35045
Bartier, Jean-Philippe; Souplet, Philippe
2
2004
Instantaneous smoothing estimates for the Hermite semigroup in uniformly local spaces and related nonlinear equations. Zbl 1052.35090
Matos, Júlia; Souplet, Philippe
2
2004
Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state. Zbl 1029.35106
Souplet, Philippe; Weissler, Fred B.
19
2003
On the growth of mass for a viscous Hamilton-Jacobi equation. Zbl 1031.35054
Laurençot, Philippe; Souplet, Philippe
18
2003
Universal blow-up rates for a semilinear heat equation and applications. Zbl 1028.35065
Matos, Júlia; Souplet, Philippe
13
2003
Bounds of global solutions of parabolic problems with nonlinear boundary conditions. Zbl 1080.35039
Quittner, Pavol; Souplet, Philippe
6
2003
Oscillatory blow-up in nonlinear second order ODE’s: The critical case. Zbl 1048.34074
Balabane, Mikhaël; Jazar, Mustapha; Souplet, Philippe
5
2003
A priori estimates of global solutions of superlinear parabolic problems without variational structure. Zbl 1029.35049
Quittner, Pavol; Souplet, Philippe
4
2003
The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. Zbl 1046.35046
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
57
2002
Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions. Zbl 1015.35016
Souplet, Philippe
41
2002
Critical blowup exponents for a system of reaction-diffusion equations with absorption. Zbl 0996.35029
Bedjaoui, Nabil; Souplet, Philippe
19
2002
Extinction and non-extinction for viscous Hamilton-Jacobi equations in \(\mathbb{R}^N\). Zbl 1046.35053
Benachour, S.; Laurençot, Ph.; Schmitt, D.; Souplet, Ph.
18
2002
Stability and continuous dependence of solutions of one-phase Stefan problems for semilinear parabolic equations. Zbl 1007.35040
Souplet, Philippe
12
2002
Stability for semilinear parabolic equations with decaying potentials in \(\mathbb{R}^n\) and dynamical approach to the existence of ground states. Zbl 1017.35033
Souplet, Philippe; Zhang, Qi S.
11
2002
A priori and universal estimates for global solutions of superlinear degenerate parabolic equations. Zbl 1072.35099
Souplet, Philippe
5
2002
Global existence from single-component \(L_{p}\) estimates in a semilinear reaction-diffusion system. Zbl 0993.35048
Quittner, Pavol; Souplet, Philippe
3
2002
Recent results and open problems on parabolic equations with gradient nonlinearities. Zbl 0982.35054
Souplet, Philippe
36
2001
Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions. Zbl 0993.35023
Fila, Marek; Souplet, Philippe; Weissler, Fred B.
28
2001
Decay of global solutions, stability and blow up for a reaction-diffusion problem with free boundary. Zbl 0959.35087
Ghidouche, Hamid; Souplet, Philippe; Tarzia, Domingo
27
2001
Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem. Zbl 1006.35103
Fila, Marek; Souplet, Philippe
27
2001
The blow-up rate for semilinear parabolic problems on general domains. Zbl 0993.35046
Fila, Marek; Souplet, Philippe
24
2001
Admissible \(L_p\) norms for local existence and for continuation in semilinear parabolic systems are not the same. Zbl 1006.35048
Quittner, Pavol; Souplet, Philippe
14
2001
Blowup rates for nonlinear heat equations with gradient terms and for parabolic inequalities. Zbl 0984.35077
Souplet, Philippe; Tayachi, Slim
14
2001
Existence of ground states for semilinear elliptic equations with decaying mass: A parabolic approach. Zbl 0992.35029
Souplet, Philippe; Zhang, Qi S.
1
2001
Decay of heat semigroups in \(L^\infty\) and applications to nonlinear parabolic problems in unbounded domains. Zbl 0954.35032
Souplet, Philippe
11
2000
Small time boundary behavior of solutions of parabolic equations with noncompatible data. Zbl 0959.35079
Martel, Yvan; Souplet, Philippe
7
2000
Blow-up behavior in nonlocal vs. local heat equations. Zbl 0954.35091
Souplet, Philippe
1
2000
Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source. Zbl 0923.35077
Souplet, Philippe
153
1999
Poincaré’s inequality and global solutions of a nonlinear parabolic equation. Zbl 0924.35065
Souplet, Philippe; Weissler, Fred B.
18
1999
Geometry of unbounded domains, Poincaré inequalities and stability in semilinear parabolic equations. Zbl 0926.35064
Souplet, Philippe
16
1999
On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. (Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire.) Zbl 0938.35068
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B.
12
1999
Sharp stability estimates for quasi-autonomous evolution equations of hyperbolic type. Zbl 1031.34059
Souplet, Philippe
1
1999
Blow-up in nonlocal reaction-diffusion equations. Zbl 0909.35073
Souplet, Philippe
155
1998
Optimal uniqueness condition for the antiperiodic solutions of some nonlinear parabolic equations. Zbl 0892.35078
Souplet, Philippe
19
1998
Critical exponents, special large-time behavior and oscillatory blow-up in nonlinear ODE’s. Zbl 1015.34038
Souplet, Philippe
5
1998
...and 13 more Documents
all top 5

Cited by 1,578 Authors

53 Souplet, Philippe
50 Winkler, Michael
47 Mu, Chunlai
31 Liu, Bingchen
31 Zheng, Sining
26 Li, Fengjie
22 Ishige, Kazuhiro
20 Wei, Juncheng
19 Fang, Zhongbo
18 Quittner, Pavol
17 Laurençot, Philippe
17 Zhang, Zhengce
16 Ding, Juntang
15 Fujishima, Yohei
15 Xiang, Zhaoyin
15 Xie, Chunhong
14 Lankeit, Johannes
14 Li, Yuxiang
14 Weissler, Fred B.
14 Zhou, Jun
13 Iagar, Razvan Gabriel
13 Kawakami, Tatsuki
13 Yanagida, Eiji
12 Quaas, Alexander
12 Wang, Liangchen
11 Fila, Marek
11 Guo, Zongming
11 Lin, Zhigui
11 Liu, Qilin
11 Mizoguchi, Noriko
11 Phan, Quoc Hung
11 Zheng, Pan
11 Zou, Wenming
10 Duong, Anh Tuan
10 Harrabi, Abdellaziz
10 Villavert, John
10 Wang, Mingxin
10 Wang, Wei
10 Wang, Yulan
10 Yang, Zuodong
10 Zaag, Hatem
9 Del Pino, Manuel A.
9 García-Melián, Jorge
9 Karch, Grzegorz
9 Poláčik, Peter
9 Tang, Bao Quoc
9 Tayachi, Slim
9 Wan, FangShu
8 Deng, Weibing
8 Du, Lili
8 Fellner, Klemens
8 Gao, Wenjie
8 Ghergu, Marius
8 Guo, Jong-Shenq
8 Lei, Yutian
8 Liu, Dengming
8 Musso, Monica
8 Parshad, Rana D.
8 Sierżȩga, Mikołaj
8 Song, Xianfa
8 Taliaferro, Steven D.
8 Weth, Tobias
8 Yin, Jingxue
7 Biler, Piotr
7 Chen, Caisheng
7 Chen, Youpeng
7 Chen, Yuqing
7 Harada, Junichi
7 Jin, Hai-Yang
7 Kong, Linghua
7 Liu, Baiyu
7 Loayza, Miguel
7 Nguyễn Thạc Dũng
7 Punzo, Fabio
7 Sánchez, Ariel
7 Stinner, Christian
7 Tao, Youshan
7 Wang, Xiaoliu
7 Yang, Hui
7 Yu, Xiaohui
6 Abdellaoui, Boumediene
6 Bidaut-Veron, Marie-Françoise
6 Dai, Wei
6 Ferreira, Raúl
6 Filippucci, Roberta
6 Fujie, Kentarou
6 Hu, Xuegang
6 Kirane, Mokhtar
6 Li, Congming
6 Li, Huiling
6 Morgan, Jeff J.
6 O’Regan, Donal
6 Rahal, Belgacem
6 Reichel, Wolfgang
6 Robinson, James Cooper
6 Rodríguez-Bernal, Aníbal
6 Shang, Haifeng
6 Takahashi, Jin
6 Vazquez, Juan Luis
6 Vernier-Piro, Stella
...and 1,478 more Authors
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Cited in 230 Serials

153 Journal of Differential Equations
147 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
138 Journal of Mathematical Analysis and Applications
47 Discrete and Continuous Dynamical Systems
45 Boundary Value Problems
38 Calculus of Variations and Partial Differential Equations
37 ZAMP. Zeitschrift für angewandte Mathematik und Physik
36 Journal of Functional Analysis
35 Applied Mathematics Letters
35 Nonlinear Analysis. Real World Applications
35 Communications on Pure and Applied Analysis
31 Computers & Mathematics with Applications
31 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Applicable Analysis
27 Proceedings of the American Mathematical Society
26 Mathematische Annalen
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
25 Journal of Evolution Equations
23 Mathematical Methods in the Applied Sciences
23 Discrete and Continuous Dynamical Systems. Series B
21 Applied Mathematics and Computation
20 Advanced Nonlinear Studies
18 NoDEA. Nonlinear Differential Equations and Applications
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Science China. Mathematics
13 Nonlinearity
13 Advances in Mathematics
13 Archiv der Mathematik
13 Communications in Partial Differential Equations
12 Journal of Mathematical Physics
12 SIAM Journal on Mathematical Analysis
12 Communications in Contemporary Mathematics
11 Transactions of the American Mathematical Society
11 Journal of Dynamics and Differential Equations
10 Journal of Inequalities and Applications
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Advances in Nonlinear Analysis
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Abstract and Applied Analysis
9 Acta Mathematica Sinica. English Series
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9 SN Partial Differential Equations and Applications
8 Journal of Computational and Applied Mathematics
7 Journal d’Analyse Mathématique
7 Acta Applicandae Mathematicae
7 Mediterranean Journal of Mathematics
7 Discrete and Continuous Dynamical Systems. Series S
6 Communications in Mathematical Physics
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5 Archive for Rational Mechanics and Analysis
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4 Electronic Journal of Differential Equations (EJDE)
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Revista Matemática Complutense
4 Open Mathematics
4 Electronic Research Archive
3 Israel Journal of Mathematics
3 Rocky Mountain Journal of Mathematics
3 Chaos, Solitons and Fractals
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of the Korean Mathematical Society
3 Mathematische Nachrichten
3 Pacific Journal of Mathematics
3 Chinese Annals of Mathematics. Series B
3 Physica D
3 Differential Geometry and its Applications
3 Bulletin des Sciences Mathématiques
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3 Journal of Mathematical Fluid Mechanics
3 Communications in Nonlinear Science and Numerical Simulation
3 Annales Henri Poincaré
3 Differential Equations
3 Journal of Applied Mathematics
3 Journal of Fixed Point Theory and Applications
3 Frontiers of Mathematics in China
3 International Journal of Differential Equations
...and 130 more Serials
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Cited in 37 Fields

1,601 Partial differential equations (35-XX)
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13 Classical thermodynamics, heat transfer (80-XX)
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