Global compactness for a class of quasi-linear elliptic problems

DOI10.1007/S00229-012-0533-6zbMath1278.35104arXiv1107.4046OpenAlexW2129419605MaRDI QIDQ1938856

Carlo Mercuri, Marco Squassina

Publication date: 25 February 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4046

zbMATH Keywords

quasilinear elliptic equationscompactness resultsPalais-Smale sequences

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Generalized solutions to partial differential equations (35D99) Quasilinear elliptic equations (35J62)

Related Items (10)

Existence result for a class of quasilinear elliptic equations with (\(p\)-\(q\))-Laplacian and vanishing potentials ⋮ Convergence of radially symmetric solutions for \((p,q)\)-Laplacian elliptic equations with a damping term ⋮ On the pure critical exponent problem for the \(p\)-Laplacian ⋮ On a class of nonlinear Schrödinger-Poisson systems involving a nonradial charge density ⋮ Multiple positive solutions to critical p-Laplacian equations with vanishing potential ⋮ Groundstate asymptotics for a class of singularly perturbed \(p\)-Laplacian problems in \({{\mathbb{R}}}^N\) ⋮ Existence of continuous eigenvalues for a class of parametric problems involving the \((p,2)\)-Laplacian operator ⋮ Quasilinear Scalar Field Equations Involving Critical Sobolev Exponents and Potentials Vanishing at Infinity ⋮ Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth ⋮ Quasilinear Schrödinger-Poisson equations involving a nonlocal term and an integral constraint

Cites Work

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