A positive ground state solution for a class of asymptotically periodic Schrödinger equations with critical exponent

DOI10.1016/j.camwa.2016.08.010zbMath1362.35114OpenAlexW2507443748MaRDI QIDQ521526

Jiu Liu, Chun-Lei Tang, Jia-Feng Liao

Publication date: 11 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.08.010

zbMATH Keywords

critical exponentSchrödinger equations

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Ground state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growth ⋮ On fractional Schrödinger equation with periodic and asymptotically periodic conditions ⋮ Positive ground state solutions for generalized quasilinear Schrödinger equations with critical growth ⋮ Existence and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy-Sobolev critical exponent ⋮ Existence and concentration of ground state solutions for critical Schrödinger equation with steep potential well ⋮ Existence of a ground state solution for Choquard equations involving critical Sobolev exponents

Cites Work

• Existence of a ground state solution for a nonlinear scalar field equation with critical growth
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Quasilinear asymptotically periodic elliptic equations with critical growth
• A global compactness result for the \(p\)-Laplacian involving critical nonlinearities
• On superlinear problems without the Ambrosetti and Rabinowitz condition
• On a class of nonlinear Schrödinger equations
• Existence of solitary waves in higher dimensions
• Minimax theorems
• A positive ground state solution for a class of asymptotically periodic Schrödinger equations
• A strong maximum principle for some quasilinear elliptic equations
• On a semilinear Schrödinger equation with critical Sobolev exponent
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• A BERESTYCKI–LIONS THEOREM REVISITED
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Nonlinear perturbations of a periodic elliptic problem with critical growth.
• Unnamed Item

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