PS
Philippe Souplet
math.APModels, GeneticSelection, GeneticAllelesmath.DGmath.OC
On Valency
published · living versionsW_3gxa874r·v1 · currentpublished
Preprints & journals
50 papers in the corpus · 2008–2026Strong gradient absorption and initial decay prevent blow-up2610.28913v1 · Philippe Souplet, Berikbol T. Torebek2026 · 0 citationsarXivon Valency
Sharp gradient bounds for uniformly elliptic PDE, eigenvalue asymptotics, and the Landis conjecture2609.15821v1 · Boyan Sirakov, Philippe Souplet2026 · 0 citationsarXiv
Differential Harnack inequalities and maximum principles of Morel-Oswald type for elliptic PDE in divergence form2609.12967v2 · Boyan Sirakov, Philippe Souplet2026 · 0 citationsarXiv
Oscillatory blow-up and gradient estimates for semilinear heat equations2608.14257v1 · Pavol Quittner, Philippe Souplet2026 · 0 citationsarXiv
Blow-up for weakly superlinear heat equations and blow-up controllability of the linear heat equation2606.30279v1 · K'evin Le Balc'h, Philippe Souplet2026 · 0 citationsarXiv
Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions 2601.14469v1 · Loth Damagui Chabi, Philippe Souplet2026 · 0 citationsarXiv
Classification of solutions of an elliptic Hamilton-Jacobi equation2510.00146v1 · Alessio Porretta, Philippe Souplet2025 · 0 citationsarXiv
Optimal Hamilton-type gradient estimates and large time heat kernel bounds for noncompact manifolds2507.12190v2 · Loth Damagui Chabi, Philippe Souplet2025 · 0 citationsarXiv
Classification of entire and ancient solutions of the diffusive Hamilton-Jacobi equation2507.12214v2 · Loth Damagui Chabi, Philippe Souplet2025 · 0 citationsarXiv
Threshold, subthreshold and global unbounded solutions of superlinear heat equations2504.11813v4 · Pavol Quittner, Philippe Souplet2025 · 1 citationarXiv
Elliptic regularity estimates with optimized constants and applications2411.19367v2 · Boyan Sirakov, Philippe Souplet2024 · 0 citationsarXiv
Liouville theorems and universal estimates for superlinear parabolic problems without scale invariance2409.20049v1 · Pavol Quittner, Philippe Souplet2024 · 6 citationsarXiv
Global existence and asymptotic behavior for diffusive Hamilton-Jacobi equations with Neumann boundary conditions2409.07338v2 · Joaquin Dominguez-de-Tena, Philippe Souplet2024 · 0 citationsJ. Elliptic Parabolic Equations (2024)
A Liouville theorem for the Lane-Emden system in the half-space2408.17007v2 · Yimei Li, Philippe Souplet2024 · 2 citationsarXiv
Liouville theorems and universal estimates for superlinear elliptic problems without scale invariance2407.04154v2 · Pavol Quittner, Philippe Souplet2024 · 3 citationsRev. Mat. Complutense 38 (2025), 1-69
Refined behavior and structural universality of the blow-up profile for the semilinear heat equation with non scale invariant nonlinearity2404.11863v2 · Loth Damagui Chabi, Philippe Souplet2024 · 5 citationsMath. Annalen 391 (2025), 4509-4554
From transient elastic linkages to friction: a complete study of a penalized fourth order equation with delay2401.01139v2 · Vuk Milisic, Philippe Souplet2024 · 1 citationarXiv
Convergence, concentration and critical mass phenomena in a model of cell motion with boundary signal production2303.08654v3 · Nicolas Meunier, Philippe Souplet2023 · 0 citationsarXiv
Universal estimates and Liouville theorems for superlinear problems without scale invariance2202.02955v2 · Philippe Souplet2022 · 17 citationsarXiv
Complete classification of gradient blow-up and recovery of boundary condition for the viscous Hamilton-Jacobi equation2110.12934v1 · Noriko Mizoguchi, Philippe Souplet2021 · 1 citationJ. Geom. Anal. 33, 42 (2023), 147 p
On refined blowup estimates for the exponential reaction-diffusion equation2110.08026v1 · Philippe Souplet2021 · 3 citationsPartial Diff. Eq. and Appl. (2022) 3:16
The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients2010.08511v3 · Boyan Sirakov, Philippe Souplet2020 · 12 citationsarXiv
Singularity formation and regularization at multiple times in the viscous Hamilton-Jacobi equation2007.12114v2 · Noriko Mizoguchi, Philippe Souplet2020 · 6 citationsAsympt. Anal., (2022) 63p
A Liouville-type theorem for the Lane-Emden equation in a half-space2003.11466v1 · Louis Dupaigne, Boyan Sirakov, Philippe Souplet2020 · 21 citationsInternational Math. Research Notices (2022), 9024-9043
Liouville-type theorems for unbounded solutions of elliptic equations in half-spaces2002.07247v1 · Boyan Sirakov, Philippe Souplet2020 · 1 citationarXiv
Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations1912.00626v1 · Amal Attouchi, Philippe Souplet2019 · 11 citationsarXiv
A Liouville-type theorem for an elliptic equation with superquadratic growth in the gradient1907.06816v1 · Roberta Filippucci, Patrizia Pucci, Philippe Souplet2019 · 30 citationsAdv. Nonlinear Stud. 20 (2020), 245-252
Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities1907.04966v1 · Mohamed Jleli, Bessem Samet, Philippe Souplet2019 · 15 citationsProc. Amer. Math. Soc. 148 (2020), 2579-2593
A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton-Jacobi equations1906.05161v1 · Roberta Filippucci, Patrizia Pucci, Philippe Souplet2019 · 22 citationsCommun. Partial Differ. Equations 45 (2020) 321-349
Optimal condition for blow-up of the critical norm for the semilinear heat equation1812.11352v2 · Noriko Mizoguchi, Philippe Souplet2018 · 4 citationsAdvances in Mathematics, 387 (2021), 107838
Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation1811.01612v1 · Alessio Porretta, Philippe Souplet2018 · 19 citationsarXiv
Global existence for reaction-diffusion systems with dissipation of mass and quadratic growth1804.05193v1 · Philippe Souplet2018 · 35 citationsJ. Evolution Equations 18 (2018), 1713-1720
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions 1802.03093v1 · Philippe Souplet, Michael Winkler2018 · 69 citationsComm. Math. Phys. 367 (2019), 665-681
Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity1710.04035v1 · Carlos Esteve, Philippe Souplet2017 · 7 citationsarXiv
No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem1706.04375v1 · Carlos Esteve, Philippe Souplet2017 · 5 citationsarXiv
Analysis of the loss of boundary conditions for the diffusive Hamilton-Jacobi equation1610.03144v2 · Alessio Porretta, Philippe Souplet2016 · 20 citationsAnn. Inst. H. Poincar\'e, Analyse non lin\'eaire 34 (2017), 1913-192
Excluding blowup at zero points of the potential by means of Liouville-type theorems1605.03558v1 · Jong-Shenq Guo, Philippe Souplet2016 · 16 citationsJ. Differential Equations 265 (2018), 4942-4964
Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in 1604.01667v2 · Philippe Souplet2016 · 35 citationsJ. Functional Analysis 272 (2017), 2005-2037
Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities1510.02505v1 · Philippe Souplet, Slim Tayachi2015 · 9 citationsarXiv
The profile of boundary gradient blow-up for the diffusive Hamilton-Jacobi equation1508.06766v3 · Alessio Porretta, Philippe Souplet2015 · 20 citationsarXiv
A Liouville-type theorem for the -dimensional parabolic Gross-Pitaevskii and related systems1507.07192v1 · Quoc Hung Phan, Philippe Souplet2015 · 17 citationsarXiv
Improved conditions for single-point blow-up in reaction-diffusion systems1501.05112v1 · Nejib Mahmoudi, Philippe Souplet, Slim Tayachi2015 · 17 citationsJ. Differential Equations 259 (2015), 1898-1932
A priori estimates and bifurcation of solutions for a noncoercive elliptic equation with critical growth in the gradient1411.0884v1 · Philippe Souplet2014 · 1 citationNonlinear Analysis 121 (2015), 412-423
No touchdown at zero points of the permittivity profile for the MEMS problem1405.6794v3 · Jong-Shenq Guo, Phlippe Souplet2014 · 25 citationsSIAM J. Math. Analysis 47 (2015), 614-625
Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with -Laplacian diffusion1404.5386v1 · Amal Attouchi (LAGA), Philippe Souplet (LAGA)2014 · 8 citationsarXiv
Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems1312.1380v1 · Alexandre Montaru, Boyan Sirakov, Philippe Souplet2013 · 24 citationsArchive Rational Mech. Anal. 213 (2014), 129-169
Global existence of solutions for a chemotaxis-type system arising in crime modeling1206.3724v1 · Raul Manasevich, Quoc Hung Phan, Philippe Souplet2012 · 4 citationsarXiv
Classification of large-time behaviors in a reaction-diffusion system modeling diallelic selection.22652033 · Souplet, Philippe, Winkler, Michael2012 · 2 citationsMathematical biosciences. 2012;239(2):191-206
The influence of space dimension on the large-time behavior in a reaction-diffusion system modeling diallelic selection.20383710 · Souplet, Philippe, Winkler, Michael2011 · 5 citationsJournal of mathematical biology. 2011;62(3):391-421
Grow-up rate and refined asymptotics for a two-dimensional Patlak-Keller-Segel model in a disk0804.4549v4 · Nikos Kavallaris, Philippe Souplet2008 · 39 citationsarXiv
Career total: 161 works. 50 are in this corpus.
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