Quasilinear elliptic equations on \({\mathbb{R}}^{N}\) with singular potentials and bounded nonlinearity

DOI10.1007/s00033-011-0138-zzbMath1236.35069OpenAlexW1996570684MaRDI QIDQ662388

Jiabao Su

Publication date: 22 February 2012

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-011-0138-z

zbMATH Keywords

quasilinear elliptic equationSobolev embeddingbounded nonlinearity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (13)

Existence results for a class of quasilinear Schrödinger equations with singular or vanishing potentials ⋮ Multiple positive solutions for a class of quasilinear problems with distinct potentials ⋮ Kirchhoff type problems in \(\mathbb{R}^N\) with radial potentials and locally Lipschitz functional ⋮ Schrödinger-Poisson systems with radial potentials and discontinuous quasilinear nonlinearity ⋮ Compactness and existence results in weighted Sobolev spaces of radial functions. II: Existence ⋮ Sobolev type embeddings and an inhomogeneous quasilinear elliptic equation on \(\mathbb R^N\) with singular weights ⋮ Elliptic problems involving the p-Laplacian in ℝ^N with locally Lipschitz functional ⋮ On the multiplicity and concentration of positive solutions for a class of quasilinear problems in \(\mathbb{R}^N\) ⋮ Compactness and existence results for the \(p\)-Laplace equation ⋮ Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials ⋮ Infinitely many solutions to a class of \(p\)-Laplace equations ⋮ Radial quasilinear elliptic problems with singular or vanishing potentials ⋮ Solvability of nonlinear problem for some second-order nonstrongly elliptic system

Cites Work

• Existence of solitary waves in higher dimensions
• Mountain pass solutions to equations of \(p\)-Laplacian type.
• Symmetry of solutions of a semilinear elliptic equation with unbounded coefficients.
• Minimax theorems
• Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations
• Dual variational methods in critical point theory and applications
• Weighted Sobolev embedding with unbounded and decaying radial potentials
• Schrödinger equations with concave and convex nonlinearities
• Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on $\mathbb{R}^{N}$
• NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Nonlinear boundary value problems with concave nonlinearities near the origin
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quasilinear elliptic equations on \({\mathbb{R}}^{N}\) with singular potentials and bounded nonlinearity