Existence of solutions for a class of quasilinear elliptic equations in RNwith vanishing potentials

DOI10.1080/00036811.2012.702210zbMath1277.35181OpenAlexW2052790050MaRDI QIDQ2846761

Zuodong Yang, Qin Li

Publication date: 3 September 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.702210

zbMATH Keywords

existencequasilinear elliptic equationpositive solutionvanishing potentials

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (1)

Schrödinger equations with Stein-Weiss type nonlinearity and potential vanishing at infinity

Cites Work

• Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials
• Existence of nontrivial solutions for \(p\)-Laplacian equations in \(\mathbb R^N\)
• Blow-up rate and uniqueness of singular radial solutions for a class of quasi-linear elliptic equations
• Existence and asymptotic behavior of positive solution to a quasilinear elliptic problem in \(\mathbb R^N\)
• On ground states of superlinear \(p\)-Laplacian equations in R\(^N\)
• Maximum and comparison principles for operators involving the \(p\)-Laplacian
• On nonlinear perturbations of a periodic elliptic problem in \(\mathbb R^2\) involving critical growth.
• Multiple positive solutions for a nonlinear Schrödinger equation
• \(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations
• Nodal type bound states of Schrödinger equations via invariant set and minimax methods
• On some nonlinear elliptic problems for \(p\)-Laplacian in \(\mathbb{R}^N\)
• Solutions for a class of p-Laplace equations with potentials in R ^N
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Existence of Solutions for the Nonlinear Schrödinger Equation with V (∞) = 0
• Existence and Number of Solutions for a Class of Semilinear Schrödinger Equations
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
• Nonlinear perturbations of a periodic elliptic problem with critical growth.

This page was built for publication: Existence of solutions for a class of quasilinear elliptic equations in R^Nwith vanishing potentials