Infinitely many normalized solutions for a quasilinear Schrodinger equation

2023/05/09 by Xianyong Yang, Fukun Zhao, Yang, Xianyong +1 · 1 citation
Mathematics · #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.2305.05180

Abstract

In this paper, we are concerned with a quasilinear Schrodinger equation with well-known Berestycki--Lions nonliearity. The existence of infinitely many normalized solutions is obtained via a minimax argument.

Cited by

• Normalized solutions of quasilinear Schrödinger equation with Sobolev critical exponent on star-shaped bounded domains

Related

• Ground states to a quasilinear Schrödinger equation with Berestycki-Lions type nonlinearities
• Multiple normalized solutions for quasi-linear Schrödinger equations
• Existence and concentration of nontrivial solutions for quasilinear Schrödinger equation with indefinite potential
• Existence and Multiplicity of Normalized Solutions to Schrödinger Equations with General Nonlinearities in Bounded Domains
• Multiple solutions for a quasilinear Schrödinger equation on ℝ^N