On the existence of least energy solutions to a Kirchhoff-type equation in \(\mathbb{R}^3\)

DOI10.1016/j.aml.2019.04.028zbMath1427.35058OpenAlexW2946076767MaRDI QIDQ2274838

Dengfeng Lü, Zongze Lu

Publication date: 1 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.04.028

zbMATH Keywords

perturbation methodPohozaev type identityKirchhoff-type equationleast energy solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

Existence of positive solutions for Kirchhoff-type problem in exterior domains ⋮ Infinitely many solutions for a Kirchhoff problem with a subcritical exponent

Cites Work

• Unnamed Item
• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• On a Kirchhoff type problem in \(\mathbb R^N\)
• Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
• Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems
• Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
• Existence of solutions with prescribed norm for semilinear elliptic equations
• Existence of solutions for a class of Kirchhoff type problems in Orlicz–Sobolev spaces

This page was built for publication: On the existence of least energy solutions to a Kirchhoff-type equation in \(\mathbb{R}^3\)