Existence of nontrivial solutions and high energy solutions for a class of quasilinear Schrödinger equations via the dual-perturbation method

DOI10.1155/2013/256324zbMath1294.35020OpenAlexW1966403406WikidataQ58915695 ScholiaQ58915695MaRDI QIDQ2015269

Yu Chen, Xian Wu

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/256324

zbMATH Keywords

quasilinear Schrödinger equationdual-perturbation method

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (5)

Existence of positive solutions for a class of quasilinear Schrödinger equations of Choquard type ⋮ Standing waves for quasilinear Schrödinger equations with indefinite potentials ⋮ Existence of multiple solutions for elliptic equations with indefinite potential ⋮ Quasilinear Schrödinger equations with concave and convex nonlinearities ⋮ Existence of positive solutions for a class of quasilinear Schrödinger equations on \(\mathbb R^N\)

Cites Work

• Unnamed Item
• Multibump solutions for quasilinear elliptic equations
• Soliton solutions for quasilinear Schrödinger equations with critical growth
• Ground state solutions for some indefinite variational problems
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• On the existence of soliton solutions to quasilinear Schrödinger equations
• Soliton solutions for quasilinear Schrödinger equations. II.
• Minimax theorems
• Ground states for quasilinear Schrödinger equations with critical growth
• Soliton solutions for quasilinear Schrödinger equations: the critical exponential case
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• Evolution theorem for a class of perturbed envelope soliton solutions
• Sign-changing critical points from linking type theorems
• Existence of ground states for a modified nonlinear Schrödinger equation
• Soliton solutions for quasilinear Schrödinger equations, I
• Quasilinear elliptic equations via perturbation method

This page was built for publication: Existence of nontrivial solutions and high energy solutions for a class of quasilinear Schrödinger equations via the dual-perturbation method