Elliptic problems with lack of compactness via a new fixed point theorem

DOI10.1016/S0022-0396(02)00030-XMaRDI QIDQ2694815

Yanyan Li

Publication date: 4 April 2023

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

zbMATH Keywords

unbounded domaincritical Sobolev exponentfixed point theoremnonlinear elliptic equationsordered Banach spacesdiscontinuous nonlinearityincreasing operators

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Applications of operator theory to differential and integral equations (47N20) Variational methods for second-order elliptic equations (35J20)

Related Items (18)

Solutions for nonhomogeneous fractional \((p, q)\)-Laplacian systems with critical nonlinearities ⋮ Existence result for some elliptic quasilinear equation involving the \(N\)-Laplacian in \( \mathbb {R}^N \) with a large class of nonlinearities ⋮ On some polyharmonic elliptic equation with discontinuous and increasing nonlinearities ⋮ On the Schrödinger-Poisson system with \((p,q)\)-Laplacian ⋮ Solutions for nonhomogeneous singular fractional p-Laplacian equations via fixed point theorem ⋮ On a class of nonhomogeneous elliptic equations on noncompact Riemannian manifolds ⋮ On a class of quasilinear elliptic problems involving Trudinger-Moser nonlinearities ⋮ Unnamed Item ⋮ On a class of nonhomogeneous fractional quasilinear equations in \(\mathbb R^n\) with exponential growth ⋮ Existence results for operator equations in partially ordered sets and applications ⋮ On some elliptic equation involving the \(p(x)\)-Laplacian in \(\mathbb{R}^N\) with a possibly discontinuous nonlinearities ⋮ On a class of nonhomogeneous elliptic equation on compact Riemannian manifold without boundary ⋮ Existence results for operator and differential equations and inclusions ⋮ Existence and nonexistence of solution for a class of quasilinear Schrödinger equations with critical growth ⋮ On a class of \(N/s\)-fractional Hardy-Schrödinger equations with singular exponential nonlinearity in \(\mathbb{R}^N\) ⋮ Existence results for operator equations in abstract spaces and an application ⋮ Existence and comparison results for operator and differential equations in abstract spaces ⋮ Positive solutions for a planar Schrödinger-Poisson system with prescribed mass

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