Local uniqueness of multi-bump solutions for singularly perturbed Kirchhoff problems

DOI10.1016/J.AML.2021.107684zbMath1479.35056OpenAlexW3203204925MaRDI QIDQ2060938

Hongxia Shi, Mingzhu Yu

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107684

zbMATH Keywords

uniquenessKirchhoff type problemsmulti-bump solutionslocal Pohozaev identity

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Quasilinear elliptic equations (35J62) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials
• Multi-bump bound states of Schrödinger equations with a critical frequency
• On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity
• Multi-peak bound states for nonlinear Schrödinger equations
• Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
• Standing waves with a critical frequency for nonlinear Schrödinger equations
• Uniqueness of positive multi-lump bound states of nonlinear Schrödinger equations
• On the number of single-peak solutions of the nonlinear Schrödinger equation.
• Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations
• Existence and uniqueness of multi-bump solutions for nonlinear Schrödinger-Poisson systems
• A singularly perturbed Kirchhoff problem revisited
• Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
• Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations

This page was built for publication: Local uniqueness of multi-bump solutions for singularly perturbed Kirchhoff problems