A Liouville-type theorem for an elliptic equation with superquadratic growth in the gradient

DOI10.1515/ans-2019-2070zbMath1440.35106arXiv1907.06816OpenAlexW3000124670WikidataQ126332913 ScholiaQ126332913MaRDI QIDQ2178810

Patrizia Pucci, Roberta Filippucci, Philippe Souplet

Publication date: 11 May 2020

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.06816

zbMATH Keywords

spherical averagesgradient dependenceLiouville-type theoremselliptic equations and systemsBernstein methods

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic systems (35J47) Entire solutions to PDEs (35B08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items

On the Liouville property for fully nonlinear equations with superlinear first-order terms, Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms, Liouville results and asymptotics of solutions of a quasilinear elliptic equation with supercritical source gradient term, Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms, Quasilinear Laplace equations and inequalities with fractional orders, An approach to elliptic equations with nonlinear gradient terms via a modulation framework, Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity, A sharp Liouville principle for \(\Delta_m u+u^p|\nabla u|^q\le 0\) on geodesically complete noncompact Riemannian manifolds

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