Multiple solutions for a class of quasilinear Schrödinger equations

DOI10.1080/17476933.2020.1727899zbMath1460.35102OpenAlexW3008221335MaRDI QIDQ5856328

Gao Jia, Chen Huang

Publication date: 25 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1727899

zbMATH Keywords

variational methodsquasilinear Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (1)

Multiple solutions for quasilinear Schrödinger equations involving local nonlinearity term

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• On Clark's theorem and its applications to partially sublinear problems
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Stability of stationary waves for a quasilinear Schrödinger equation in space dimension 2.
• Multiple solutions for a quasilinear Schrödinger equation
• Soliton solutions for generalized quasilinear Schrödinger equations
• Multiple small solutions for some Schrödinger-Poisson systems
• A class of quasilinear Schrödinger equations with improved (AR) condition
• Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
• Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Multiplicity results for a class of superlinear elliptic problems

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