A perturbation approach to studying sign-changing solutions of Kirchhoff equations with a general nonlinearity
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Publication:2143349
DOI10.1007/s10231-021-01155-wzbMath1491.35219arXiv1812.09240OpenAlexW3200022489MaRDI QIDQ2143349
Yijun Lou, Zhisu Liu, Jian Jun Zhang
Publication date: 31 May 2022
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.09240
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Related Items (12)
Existence and multiplicity of sign-changing solutions for a Schrödinger-Bopp-Podolsky system ⋮ On a class of Kirchhoff type logarithmic Schrödinger equations involving the critical or supercritical Sobolev exponent ⋮ Existence of nonnegative nontrivial solutions for Kirchhoff type problems with variable exponent ⋮ Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger equations with sub-cubic nonlinearity ⋮ Multiple solutions for a nonlocal problem ⋮ A planar Schrödinger-Newton system with Trudinger-Moser critical growth ⋮ A perturbation approach for the Schrödinger-Born-Infeld system: solutions in the subcritical and critical case ⋮ Concentration of solutions for fractional Kirchhoff equations with discontinuous reaction ⋮ Positive solutions to discontinuous quasilinear problems with critical exponents ⋮ The existence of normalized solutions for a fractional Kirchhoff-type equation with doubly critical exponents ⋮ Multiple nodal solutions of the Kirchhoff-type problem with a cubic term ⋮ Existence and multiplicity of bound state solutions to a Kirchhoff type equation with a general nonlinearity
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