Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms

DOI10.1016/j.jde.2019.11.013zbMath1440.35153arXiv1905.03482OpenAlexW2989927668WikidataQ126779054 ScholiaQ126779054MaRDI QIDQ2300422

Paschalis Karageorgis, Gurpreet Singh, Marius Ghergu

Publication date: 27 February 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03482

zbMATH Keywords

\(m\)-Laplace operatorquasilinear elliptic inequalitiesexistence and nonexistence of positive solutions\(m\)-mean curvature operator

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (13)

Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms ⋮ Liouville type theorems for the generalized higher order Choquard-Pekar equation ⋮ Supersolutions to nonautonomous Choquard equations in general domains ⋮ Elliptic inequalities with nonlinear convolution and Hardy terms in cone-like domains ⋮ Liouville theorems for a \(p\)-Laplace equation with Hartree type nonlinearity ⋮ Positive weak solutions of uniformly elliptic inequalities and applications to population models ⋮ Unnamed Item ⋮ Polyharmonic inequalities with nonlocal terms ⋮ Positive solutions for quasilinear elliptic inequalities and systems with nonlocal terms ⋮ Quasilinear elliptic inequalities with Hardy potential and nonlocal terms ⋮ Fujita type results for quasilinear parabolic inequalities with nonlocal terms ⋮ Representation formulae for nonhomogeneous differential operators and applications to PDEs ⋮ Qualitative properties of singular solutions of Choquard equations

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