Existence and multiplicity of solutions for the Kirchhoff equations with asymptotically linear nonlinearities

DOI10.1016/j.nonrwa.2015.07.002zbMath1334.35058OpenAlexW1011128494MaRDI QIDQ896490

Lin Li, Ji-Jiang Sun

Publication date: 9 December 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.07.002

zbMATH Keywords

radial solutionsvariational methodsKirchhoff equationwithout Ambrosetti-Rabinowitz condition

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Integro-partial differential equations (35R09)

Related Items

Multiple nodal solutions for a class of Kirchhoff-type equations in high dimensions, Existence and multiplicity of solutions for generalized asymptotically linear Schrödinger-Kirchhoff equations, Ground state solutions for a class of periodic Kirchhoff-type equation in \({\mathbb{R}}^3\) Involving critical Sobolev exponent, Multiple solutions for the asymptotically linear Kirchhoff type equations on \(\mathbb{R}^N\), Existence and concentrating behavior of solutions for Kirchhoff type equations with steep potential well, A multiplicity result for asymptotically linear Kirchhoff equations, Least energy solutions of the Schrödinger-Kirchhoff equation with linearly bounded nonlinearities, Ground state solutions for the nonlinear Kirchhoff type equations with lower term, \(p\)-fractional Kirchhoff equations involving critical nonlinearities, The existence of the sign-changing solutions for the Kirchhoff-Schrödinger-Poisson system in bounded domains, Existence and concentration of solutions to the Gross-Pitaevskii equation with steep potential well, The existence result for a class of \(p\)-Kirchhoff-type problem with a multilinear growth nonlinearity, Ground state solutions for Kirchhoff-type problems with critical nonlinearity, Infinitely many sign-changing solutions for Kirchhoff type problems in \(\mathbb{R}^3\)

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