Ground state solution on a Kirchhoff type equation involving two potentials

DOI10.1016/j.aml.2019.02.035zbMath1412.35005OpenAlexW2921040937WikidataQ128263132 ScholiaQ128263132MaRDI QIDQ1739494

Tao Liu, Jiu Liu, Hong-Ying Li

Publication date: 26 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.035

zbMATH Keywords

Nehari manifold

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strings (74K05) Semilinear elliptic equations (35J61) Integro-partial differential equations (35R09)

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Cites Work

• Bound state solutions of Kirchhoff type problems with critical exponent
• The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
• Bounded state solutions of Kirchhoff type problems with a critical exponent in high dimension
• Minimax theorems
• A result on a non-autonomous Kirchhoff type equation involving critical term
• Existence and multiplicity of solutions for a superlinear Kirchhoff-type equations with critical Sobolev exponent in \(\mathbb R^N\)
• Existence of positive solutions to Kirchhoff type problems with zero mass
• A strong maximum principle for some quasilinear elliptic equations
• Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
• Ground states for Kirchhoff equations without compact condition

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