Souplet, Philippe Universal estimates and Liouville theorems for superlinear problems without scale invariance. (English) Zbl 1518.35344 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1702-1734 (2023). MSC: 35J61 35K58 35B53 PDFBibTeX XMLCite \textit{P. Souplet}, Discrete Contin. Dyn. Syst. 43, No. 3--4, 1702--1734 (2023; Zbl 1518.35344) Full Text: DOI arXiv
Souplet, Philippe Sharp condition for the Liouville property in a class of nonlinear elliptic inequalities. (English) Zbl 1467.35151 Colloq. Math. 164, No. 1, 43-52 (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J60 35B08 35B53 35K55 35B44 PDFBibTeX XMLCite \textit{P. Souplet}, Colloq. Math. 164, No. 1, 43--52 (2021; Zbl 1467.35151) Full Text: DOI HAL
Souplet, Philippe Liouville-type theorems for nonlinear elliptic and parabolic problems. (English) Zbl 1441.35126 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 303-325 (2020). MSC: 35J60 35K55 35J57 35B53 35-02 PDFBibTeX XMLCite \textit{P. Souplet}, MATRIX Book Ser. 3, 303--325 (2020; Zbl 1441.35126) Full Text: DOI
Filippucci, Roberta; Pucci, Patrizia; Souplet, Philippe A Liouville-type theorem for an elliptic equation with superquadratic growth in the gradient. (English) Zbl 1440.35106 Adv. Nonlinear Stud. 20, No. 2, 245-251 (2020). Reviewer: Giovany Malcher Figueiredo (Brasília) MSC: 35J60 35B53 35B08 35J47 PDFBibTeX XMLCite \textit{R. Filippucci} et al., Adv. Nonlinear Stud. 20, No. 2, 245--251 (2020; Zbl 1440.35106) Full Text: DOI arXiv
Phan, Quoc Hung; Souplet, Philippe A Liouville-type theorem for the 3-dimensional parabolic Gross-Pitaevskii and related systems. (English) Zbl 1362.35063 Math. Ann. 366, No. 3-4, 1561-1585 (2016). MSC: 35B53 35K58 35B33 35B44 35K40 35K45 PDFBibTeX XMLCite \textit{Q. H. Phan} and \textit{P. Souplet}, Math. Ann. 366, No. 3--4, 1561--1585 (2016; Zbl 1362.35063) Full Text: DOI arXiv
Montaru, Alexandre; Sirakov, Boyan; Souplet, Philippe Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems. (English) Zbl 1298.35060 Arch. Ration. Mech. Anal. 213, No. 1, 129-169 (2014). Reviewer: Petr Tomiczek (Plzeň) MSC: 35J47 35J57 35B09 35B45 35B53 PDFBibTeX XMLCite \textit{A. Montaru} et al., Arch. Ration. Mech. Anal. 213, No. 1, 129--169 (2014; Zbl 1298.35060) Full Text: DOI arXiv
Montaru, Alexandre; Souplet, Philippe 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.) (English. Abridged French version) Zbl 1300.35032 C. R., Math., Acad. Sci. Paris 352, No. 4, 321-325 (2014). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35J47 35B53 PDFBibTeX XMLCite \textit{A. Montaru} and \textit{P. Souplet}, C. R., Math., Acad. Sci. Paris 352, No. 4, 321--325 (2014; Zbl 1300.35032) Full Text: DOI
Quittner, Pavol; Souplet, Philippe Optimal Liouville-type theorems for noncooperative elliptic Schrödinger systems and applications. (English) Zbl 1254.35077 Commun. Math. Phys. 311, No. 1, 1-19 (2012). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35J57 35B53 35J91 35Q60 35J10 35B45 PDFBibTeX XMLCite \textit{P. Quittner} and \textit{P. Souplet}, Commun. Math. Phys. 311, No. 1, 1--19 (2012; Zbl 1254.35077) Full Text: DOI
Phan Quoc Hung; Souplet, Philippe Liouville-type theorems and bounds of solutions of Hardy-Hénon equations. (English) Zbl 1233.35093 J. Differ. Equations 252, No. 3, 2544-2562 (2012). MSC: 35J60 35B53 35B33 35B45 35B40 35J25 PDFBibTeX XMLCite \textit{Phan Quoc Hung} and \textit{P. Souplet}, J. Differ. Equations 252, No. 3, 2544--2562 (2012; Zbl 1233.35093) Full Text: DOI
Yuxiang, Li; Souplet, Philippe Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains. (English) Zbl 1218.35052 Commun. Math. Phys. 293, No. 2, 499-517 (2010). Reviewer: Vasile Iftode (Bucureşti) MSC: 35B44 35K58 82C24 PDFBibTeX XMLCite \textit{L. Yuxiang} and \textit{P. Souplet}, Commun. Math. Phys. 293, No. 2, 499--517 (2010; Zbl 1218.35052) Full Text: DOI
Souplet, Philippe The proof of the Lane-Emden conjecture in four space dimensions. (English) Zbl 1171.35035 Adv. Math. 221, No. 5, 1409-1427 (2009). Reviewer: Marco Biroli (Milano) MSC: 35J45 35J60 35B33 35B45 35J50 PDFBibTeX XMLCite \textit{P. Souplet}, Adv. Math. 221, No. 5, 1409--1427 (2009; Zbl 1171.35035) Full Text: DOI
Souplet, Philippe An optimal Liouville-type theorem for radial entire solutions of the porous medium equation with source. (English) Zbl 1172.35038 J. Differ. Equations 246, No. 10, 3980-4005 (2009). Reviewer: Gabjin Yun (Yongin) MSC: 35K65 35K55 PDFBibTeX XMLCite \textit{P. Souplet}, J. Differ. Equations 246, No. 10, 3980--4005 (2009; Zbl 1172.35038) Full Text: DOI
Souplet, Philippe Optimal regularity conditions for elliptic problems via \(L^p_\delta\)-spaces. (English) Zbl 1130.35057 Duke Math. J. 127, No. 1, 175-192 (2005). MSC: 35J60 35B65 46E35 PDFBibTeX XMLCite \textit{P. Souplet}, Duke Math. J. 127, No. 1, 175--192 (2005; Zbl 1130.35057) Full Text: DOI
Quittner, P.; Souplet, Ph. A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces. (English) Zbl 1113.35062 Arch. Ration. Mech. Anal. 174, No. 1, 49-81 (2004). MSC: 35J55 35J50 35J60 PDFBibTeX XMLCite \textit{P. Quittner} and \textit{Ph. Souplet}, Arch. Ration. Mech. Anal. 174, No. 1, 49--81 (2004; Zbl 1113.35062) Full Text: DOI
Quittner, Pavol; Souplet, Philippe; Winkler, Michael Initial blow-up rates and universal bounds for nonlinear heat equations. (English) Zbl 1044.35027 J. Differ. Equations 196, No. 2, 316-339 (2004). MSC: 35K60 35B45 35B33 35B40 PDFBibTeX XMLCite \textit{P. Quittner} et al., J. Differ. Equations 196, No. 2, 316--339 (2004; Zbl 1044.35027) Full Text: DOI
Souplet, Philippe Universal bounds for global solutions of fast diffusion equations with source. (English) Zbl 1073.35137 Commun. Partial Differ. Equations 28, No. 11-12, 2029-2044 (2003). Reviewer: Gary M. Lieberman (Ames) MSC: 35K65 35K60 35K55 35B45 PDFBibTeX XMLCite \textit{P. Souplet}, Commun. Partial Differ. Equations 28, No. 11--12, 2029--2044 (2003; Zbl 1073.35137) Full Text: DOI
Souplet, Philippe; Zhang, Qi S. Stability for semilinear parabolic equations with decaying potentials in \(\mathbb{R}^n\) and dynamical approach to the existence of ground states. (English) Zbl 1017.35033 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 5, 683-703 (2002). Reviewer: Petr Girg (Plzen) MSC: 35J15 35K10 35B05 35A05 PDFBibTeX XMLCite \textit{P. Souplet} and \textit{Q. S. Zhang}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 5, 683--703 (2002; Zbl 1017.35033) Full Text: DOI Numdam EuDML
Ghidouche, Hamid; Souplet, Philippe; Tarzia, Domingo Decay of global solutions, stability and blow up for a reaction-diffusion problem with free boundary. (English) Zbl 0959.35087 Proc. Am. Math. Soc. 129, No. 3, 781-792 (2001). Reviewer: Pavol Quittner (Bratislava) MSC: 35K55 35R35 80A22 35B35 35B40 35K15 PDFBibTeX XMLCite \textit{H. Ghidouche} et al., Proc. Am. Math. Soc. 129, No. 3, 781--792 (2001; Zbl 0959.35087) Full Text: DOI
Souplet, Philippe Finite time blow-up for a nonlinear parabolic equation with a gradient term and applications. (English) Zbl 0858.35067 Math. Methods Appl. Sci. 19, No. 16, 1317-1333 (1996). MSC: 35K60 35B40 35B60 92D25 PDFBibTeX XMLCite \textit{P. Souplet}, Math. Methods Appl. Sci. 19, No. 16, 1317--1333 (1996; Zbl 0858.35067) Full Text: DOI