Liouville theorems for elliptic systems and applications

DOI10.1016/j.jmaa.2013.11.052zbMath1312.35075OpenAlexW2008655097WikidataQ125929384 ScholiaQ125929384MaRDI QIDQ2019219

Lorenzo D'Ambrosio, Enzo Mitidieri

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.052

zbMATH Keywords

a priori estimatesAllen-Cahn equationGross-Pitaevskii systemsquasilinear elliptic systemsGinzburg-Landau systemsLichnerowicz's type equations

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (9)

Lichnerowicz-type equations on complete manifolds ⋮ Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups ⋮ The Liouville-type theorem for problems with nonstandard growth derived by Caccioppoli-type estimate ⋮ A priori estimates for some elliptic equations involving the \(p\)-Laplacian ⋮ Entire solutions of quasilinear elliptic systems on Carnot groups ⋮ Liouville theorems for elliptic problems in variable exponent spaces ⋮ Coercive elliptic systems with gradient terms ⋮ The Liouville theorems for elliptic equations with nonstandard growth ⋮ Nonlinear elliptic inequalities with gradient terms on the Heisenberg group

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