Bound state solutions for quasilinear Schrödinger equations with Hardy potential

DOI10.1016/j.rinam.2024.100499MaRDI QIDQ6657375

Wenjing Gu, Jianxin Han, Yan-fang Xue

Publication date: 6 January 2025

Published in: Results in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasilinear Schrödinger equationHardy potentialexistence of bound state solutions

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

• On coupled systems of Schrödinger equations
• Nonlinear scalar field equations. I: Existence of a ground state
• Existence and asymptotic behavior of ground state solutions for Schrödinger equations with Hardy potential and Berestycki-Lions type conditions
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• On the existence of soliton solutions to quasilinear Schrödinger equations
• Bound state solutions for a class of Nonlinear Elliptic Equations with Hardy potential and Berestycki-Lions type conditions
• Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential
• Existence of solutions with prescribed norm for semilinear elliptic equations
• Soliton solutions for quasilinear Schrödinger equations, I
• Existence results for quasilinear Schrödinger equations under a general critical growth term
• Global existence and multiplicity for nonlinear Robin eigenvalue problems
• An infinite sequence of localized semiclassical states for nonlinear Maxwell-Dirac system

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