Existence of solutions for a class of degenerate quasilinear elliptic equation in \(\mathbb{R}^N\) with vanishing potentials

DOI10.1186/1687-2770-2013-92zbMath1293.35121OpenAlexW2023782341WikidataQ59292841 ScholiaQ59292841MaRDI QIDQ2017332

Waldemar D. Bastos, Rônei S. Vieira, Olímpio Hiroshi Miyagaki

Publication date: 25 June 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-92

zbMATH Keywords

positive solutionsvariational approachdegenerate quasilinear elliptic problem

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items

Infinitely many solutions of degenerate quasilinear Schrödinger equation with general potentials ⋮ Positive solution for a class of degenerate quasilinear elliptic equations in \(\mathbb R^N\) ⋮ Ground states of degenerate quasilinear Schrödinger equation with vanishing potentials ⋮ Unnamed Item

Cites Work

• Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials
• Critical singular problems via concentration-compactness lemma
• Periodic nonlinear Schrödinger equation with application to photonic crystals
• On a class of nonlinear Schrödinger equations
• Dual variational methods in critical point theory and applications
• The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• On a semilinear Schrödinger equation with periodic potential
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Extrema problems with critical sobolev exponents on unbounded domains
• Quasilinear elliptic problems with critical exponents
• Nonlinear perturbations of a periodic elliptic problem with critical growth.
• On perturbations of a class of a periodic \(m\)-Laplacian equation with critical growth
• Unnamed Item