High energy semiclassical states for Kirchhoff problems with critical frequency

DOI10.1016/J.AML.2020.106810zbMath1453.35175OpenAlexW3091817438MaRDI QIDQ2213741

Fubao Zhang, Hui Zhang

Publication date: 3 December 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106810

zbMATH Keywords

Kirchhoff equationcritical growthhigh energy solution

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Integro-partial differential equations (35R09)

Cites Work

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• Bound state solutions of Kirchhoff type problems with critical exponent
• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
• Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials
• Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
• Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth
• Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity
• Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency
• Existence and concentration of bound states for a Kirchhoff type problem with potentials vanishing or unbounded at infinity

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