P. Souplet

发表

Nondegeneracy of blow-up points for the parabolic Keller–Segel system

N. Mizoguchi, P. Souplet, 2014 .

Pavol Quittner, Philippe Souplet, P. Souplet, 2007, Birkhäuser Advanced Texts Basler Lehrbücher.

A priori estimates and bifurcation of solutions for a noncoercive elliptic equation with critical growth in the gradient

P. Souplet, 2014, 1411.0884.

Extinction and non‐extinction for viscous Hamilton–Jacobi equations in $\mathbb{R}$N

P. Laurençot, D. Schmitt, P. Souplet, 2002 .

Critical blowup exponents for a system of reaction-diffusion equations with absorption

N. Bedjaoui, P. Souplet, 2002 .

A priori Estimates and Existence for Elliptic Systems via Bootstrap in Weighted Lebesgue Spaces

P. Souplet, P. Quittner, 2004 .

A Liouville-type theorem for the 3-dimensional parabolic Gross–Pitaevskii and related systems

Q. Phan, P. Souplet, 2015, 1507.07192.

Liouville-type theorems and bounds of solutions of Hardy-Hénon equations

Q. Phan, P. Souplet, 2012 .

Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

P. Polácik, P. Souplet, P. Quittner, 2007 .

Oscillatory blow-up in nonlinear second order ODE's: The critical case

Mustapha Jazar, Philippe Souplet, M. Jazar, 2003 .

Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system

J. Rossi, P. Souplet, 2005, Differential and Integral Equations.

Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation

A. Porretta, P. Souplet, 2018, Journal de Mathématiques Pures et Appliquées.

BLOW-UP AND REGULARIZATION RATES , LOSS AND RECOVERY OF BOUNDARY CONDITIONS FOR

P. Souplet, 2018 .

Analysis of the loss of boundary conditions for the diffusive Hamilton–Jacobi equation

A. Porretta, P. Souplet, 2016, 1610.03144.

Universal estimates and Liouville theorems for superlinear problems without scale invariance

P. Souplet, 2022, Discrete and Continuous Dynamical Systems.

Linear and nonlinear heat equations in $L^q_\delta$ spaces and universal bounds for global solutions

M. Fila, F. Weissler, P. Souplet, 2001 .

Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems

B. Sirakov, P. Souplet, Alexandre Montaru, 2014, Archive for Rational Mechanics and Analysis.

Universal estimates and Liouville theorems for superlinear problems without scale invariance

P. Souplet, 2022, Discrete and Continuous Dynamical Systems.

Optimal regularity conditions for elliptic problems via $L^p_\delta$-spaces

P. Souplet, 2005 .

Liouville-type theorems for unbounded solutions of elliptic equations in half-spaces

B. Sirakov, P. Souplet, 2020, 2002.07247.

A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations

P. Pucci, Roberta Filippucci, P. Souplet, 2019, Communications in Partial Differential Equations.

Finite Time Blow-up for a Non-linear Parabolic Equation with a Gradient Term and Applications

Philippe Souplet, P. Souplet, 1996 .

Grow-Up Rate and Refined Asymptotics for a Two-Dimensional Patlak-Keller-Segel Model in a Disk

Nikos I. Kavallaris, Philippe Souplet, P. Souplet, 2008, SIAM J. Math. Anal..

The proof of the Lane–Emden conjecture in four space dimensions

Philippe Souplet, P. Souplet, 2009 .

Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in R n

P. Souplet, 2016, 1604.01667.

Convergence, concentration and critical mass phenomena in a chemotaxis model with boundary signal production for eukaryotic cell migration

N. Meunier, P. Souplet, 2023, 2303.08654.

Initial blow-up rates and universal bounds for nonlinear heat equations

M. Winkler, P. Souplet, P. Quittner, 2004 .

A priori and universal estimates for global solutions of superlinear degenerate parabolic equations

P. Souplet, 2002 .

Liouville-Type Theorems for Nonlinear Elliptic and Parabolic Problems

P. Souplet, 2020 .

Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities

M. Jleli, B. Samet, P. Souplet, 2019, Proceedings of the American Mathematical Society.

Classification of large-time behaviors in a reaction-diffusion system modeling diallelic selection.

M. Winkler, P. Souplet, 2012, Mathematical biosciences.

The influence of space dimension on the large-time behavior in a reaction–diffusion system modeling diallelic selection

M. Winkler, P. Souplet, 2011, Journal of mathematical biology.

Geometry of unbounded domains,poincaré inequalities and stability in semilinear parabolic equations

Philippe Souplet, P. Souplet, 1999 .

[Treatment of gout with benemid].

P. Souplet, M. Gaucher, 1955, Gazette medicale de France.

Uniform Blow-Up Profiles and Boundary Behavior for Diffusion Equations with Nonlocal Nonlinear Source

Philippe Souplet, P. Souplet, 1999 .

Blow-up in nonlocal reaction-diffusion equations

Philippe Souplet, P. Souplet, 1998 .

Singularity formation and regularization at multiple times in the viscous Hamilton–Jacobi equation

N. Mizoguchi, P. Souplet, 2020, Asymptotic Analysis.

Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem

J. Vázquez, P. Souplet, 2005 .

Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena

P. Souplet, A. Rodríguez-Bernal, J. M. Arrieta, 2004 .

The profile of boundary gradient blow-up for the diffusive Hamilton-Jacobi equation

A. Porretta, P. Souplet, 2015, 1508.06766.

F. Weissler, P. Souplet, 1997 .

Single-Point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equations in Planar Domains

P. Souplet, Yuxiang Li, L. Yuxiang, 2010 .

Optimal uniqueness condition for the antiperiodic solutions of some nonlinear parabolic equations

Philippe Souplet, P. Souplet, 1998 .

Bounds of global solutions of parabolic problems with nonlinear boundary conditions

P. Souplet, P. Quittner, 2003 .

Optimal condition for non-simultaneous blow-up in a reaction-diffusion system

P. Souplet, S. Tayachi, 2004 .

Global existence for reaction–diffusion systems with dissipation of mass and quadratic growth

P. Souplet, 2018, Journal of Evolution Equations.

Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds

Qi S. Zhang, P. Souplet, 2005, math/0502079.

Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem

Philippe Souplet, Marek Fila, M. Fila, 2001 .

Infinite time blow-up for superlinear parabolic problems with localized reaction

P. Souplet, 2004 .

Universal Bounds for Global Solutions of Fast Diffusion Equations with Source

P. Souplet, 2003 .

Existence of ground states for semilinear elliptic equations with decaying mass : a parabolic approach

Qi S. Zhang, P. Souplet, 2001 .

Stability for semilinear parabolic equations with decaying potentials in Rn and dynamical approach to the existence of ground states

Qi S. Zhang, P. Souplet, 2002 .

The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients

B. Sirakov, P. Souplet, 2020, 2010.08511.

Optimal condition for blow-up of the critical L norm for the semilinear heat equation

N. Mizoguchi, P. Souplet, 2018, Advances in Mathematics.

A Liouville-Type Theorem for an Elliptic Equation with Superquadratic Growth in the Gradient

P. Pucci, Roberta Filippucci, P. Souplet, 2019, Advanced Nonlinear Studies.

Symmetry of Components for Semilinear Elliptic Systems

Pavol Quittner, Philippe Souplet, P. Souplet, 2012, SIAM J. Math. Anal..

Global solutions of inhomogeneous Hamilton-Jacobi equations

Philippe Souplet, Qi S. Zhang, P. Souplet, 2006 .

Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions

Philippe Souplet, P. Souplet, 2002, Differential and Integral Equations.

Poincaré's inequality and global solutions of a nonlinear parabolic equation

F. Weissler, P. Souplet, 1999 .

The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces

F. Weissler, M. Ben-Artzi, P. Souplet, 2002 .

Recent results and open problems on parabolic equations with gradient nonlinearities.

Philippe Souplet, P. Souplet, 2001 .

Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton–Jacobi equations

P. Souplet, Amal Attouchi, 2019, Calculus of Variations and Partial Differential Equations.

Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion

P. Souplet, Amal Attouchi, 2014, 1404.5386.

Global existence for reaction–diffusion systems with dissipation of mass and quadratic growth

P. Souplet, 2018, Journal of Evolution Equations.

Singularity and decay estimates in superlinear problems via liouville-type theorems. Part II: Parabolic equations

P. Polácik, P. Souplet, P. Quittner, 2007 .

Jong-Shenq Guo, Philippe Souplet, Chia-Tung Ling, 2010 .

Blowup rates for nonlinear heat equations with gradient terms and for parabolic inequalities

P. Souplet, S. Tayachi, 2001 .

A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space

B. Sirakov, L. Dupaigne, P. Souplet, 2020, 2003.11466.

An optimal Liouville-type theorem for radial entire solutions of the porous medium equation with source

P. Souplet, 2009 .

Critical exponents, special large-time behavior and oscillatory blow-up in nonlinear ODE's

P. Souplet, 1998, Differential and Integral Equations.

F. Weissler, P. Souplet, 2003 .

Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems

B. Sirakov, P. Souplet, Alexandre Montaru, 2013, 1312.1380.

Small time boundary behavior of solutions of parabolic equations with noncompatible data

Y. Martel, P. Souplet, 2000 .

Excluding blowup at zero points of the potential by means of Liouville-type theorems

Jong-Shenq Guo, P. Souplet, 2016, Journal of Differential Equations.

A Liouville-type theorem for the 3-dimensional parabolic Gross–Pitaevskii and related systems

Q. Phan, P. Souplet, 2016, Mathematische Annalen.

Optimal Liouville-type Theorems for Noncooperative Elliptic Schrödinger Systems and Applications

P. Souplet, P. Quittner, 2012 .

Parabolic Liouville-type theorems via their elliptic counterparts

P. Souplet, P. Quittner, 2011 .

Blow-up rate of solutions of parabolic poblemswith nonlinear boundary conditions

P. Souplet, P. Quittner, 2011 .

Global existence from single-component _{} estimates in a semilinear reaction-diffusion system

P. Souplet, P. Quittner, 2002 .

Admissible Lp norms for local existence and for continuation in semilinear parabolic systems are not the same

P. Souplet, P. Quittner, 2001, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity

Carlos Esteve, P. Souplet, 2017, Nonlinearity.

A priori estimates of global solutions of superlinear parabolic problems without variational structure

P. Souplet, P. Quittner, 2003 .

The blow-up rate for semilinear parabolic problems on general domains

M. Fila, P. Souplet, 2001 .

Liouville-type theorems and universal bounds for nonnegativesolutions of the porous medium equation with source

P. Souplet, K. Ammar, 2009 .

Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities

P. Souplet, S. Tayachi, 2015, 1510.02505.

Improved conditions for single-point blow-up in reaction-diffusion systems

P. Souplet, Neji Mahmoudi, S. Tayachi, 2015, 1501.05112.

Single-point blow-up for a semilinear parabolic system

P. Souplet, 2009 .

Universal blow-up rates for a semilinear heat equation and applications

P. Souplet, J. Matos, 2003, Advances in Differential Equations.

Liouville-type theorems for elliptic Schrödinger systems associated with copositive matrices

Philippe Souplet, P. Souplet, 2012, Networks Heterog. Media.

Sharp stability estimates for quasi-autonomous evolution equations of hyperbolic type

P. Souplet, 1999 .

EXISTENCE OF EXCEPTIONAL GROWING-UP SOLUTIONS FOR A CLASS OF NON-LINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

P. Souplet, 1995 .

F. Weissler, P. Souplet, S. Tayachi, 1996 .

F. Weissler, P. Souplet, 1997 .

On the growth of mass for a viscous Hamilton-Jacobi equation

P. Laurençot, P. Souplet, 2003 .

The Influence of Gradient Perturbations on Blow-up Asymptotics in Semilinear Parabolic Problems: A Survey

P. Souplet, 2005 .

Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up

Jong-Shenq Guo, Philippe Souplet, Jong-Shenq Guo, 2005 .

The tangential profile of boundary gradient blow-up for the diffusive Hamilton-Jacobi equation

A. Porretta, P. Souplet, 2015 .

Optimal growth rates for a viscous Hamilton-Jacobi equation

P. Laurençot, P. Souplet, 2005 .

A remark on the large time behavior of solutions of viscous Hamilton-Jacobi equations

P. Souplet, 2007 .

A P ] 2 D ec 2 01 9 GRADIENT BLOW-UP RATES AND SHARP GRADIENT ESTIMATES FOR DIFFUSIVE HAMILTON-JACOBI EQUATIONS

P. Souplet, Amal Attouchi, 2019 .

An Example of Uniformly Recurrent Function which is not Almost Periodic

A. Haraux, P. Souplet, 2004 .

Sharp condition for the Liouville property in a class of nonlinear elliptic inequalities

P. Souplet, 2021, Colloquium Mathematicum.

BLOW-UP BEHAVIOR IN NONLOCAL VS LOCAL HEAT EQUATIONS

P. Souplet, 2000 .

A Simplified Approach to the Refined Blowup Behavior for the Nonlinear Heat Equation

Philippe Souplet, P. Souplet, 2019, SIAM J. Math. Anal..

Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$n≥3

M. Winkler, P. Souplet, 2018, Communications in Mathematical Physics.

No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem

Carlos Esteve, P. Souplet, 2017, Advances in Differential Equations.

Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory

P. Souplet, 2004 .

Uniform blow‐up profile and boundary behaviour for a non‐local reaction–diffusion equation with critical damping

Philippe Souplet, P. Souplet, 2004 .

No Touchdown at Zero Points of the Permittivity Profile for the MEMS Problem

Jong-Shenq Guo, Philippe Souplet, Jong-Shenq Guo, 2014, SIAM J. Math. Anal..

A Note on the Paper by Qi S. Zhang: A Priori Estimates and the Representation Formula for All Positive Solutions to a Semilinear Parabolic Problem

P. Souplet, 2000 .

Transversality of stable and Nehari manifolds for a semilinear heat equation

F. Weissler, N. Mizoguchi, P. Souplet, 2011 .

Nonexistence of global solutions to some differential inequalities of the second order and applications.

P. Souplet, 1995 .

A priori estimates and bifurcation of solutions for an elliptic equation with semidefinite critical growth in the gradient

P. Souplet, 2015 .

Gradient bounds for solutions of semilinear parabolic equations without Bernstein's quadratic condition

P. Souplet, Jean-Philippe Bartier, 2004 .

Classification of large-time behaviors in a reaction-diffusion system modeling diallelic selection.

M. Winkler, P. Souplet, 2012, Mathematical biosciences.

The influence of space dimension on the large-time behavior in a reaction–diffusion system modeling diallelic selection

M. Winkler, P. Souplet, 2011, Journal of mathematical biology.

Global existence of solutions for a chemotaxis-type system arising in crime modeling

Quoc Hung Phan, Philippe Souplet, Q. Phan, 2012, 1206.3724.

Uniqueness and nonuniqueness results for the antiperiodic solutions of some second-order nonlinear evolution equations

Philippe Souplet, P. Souplet, 1996 .