Bounded state solutions of Kirchhoff type problems with a critical exponent in high dimension

DOI10.3934/CPAA.2019008zbMath1401.35090OpenAlexW2887208387WikidataQ129351499 ScholiaQ129351499MaRDI QIDQ1615692

Qi-Lin Xie, Jian She Yu

Publication date: 31 October 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019008

zbMATH Keywords

critical exponenthigh dimensionKirchhoff-type problemsbounded state solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Cylindrical solutions and ground state solutions to weighted Kirchhoff equations ⋮ Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity ⋮ High energy positive solutions for a coupled Kirchhoff system ⋮ Ground state solution on a Kirchhoff type equation involving two potentials ⋮ A study on the critical Kirchhoff problem in high-dimensional space ⋮ Fractional Kirchhoff-Choquard equation involving Schrödinger term and upper critical exponent ⋮ Bounded state solution of degenerate Kirchhoff type problem with a critical exponent ⋮ The existence of normalized solutions for a fractional Kirchhoff-type equation with doubly critical exponents

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