Eigenvalues, global bifurcation and positive solutions for a class of nonlocal elliptic equations

DOI10.12775/TMNA.2016.043zbMath1368.35094arXiv1403.5713OpenAlexW2461737231MaRDI QIDQ519310

Guowei Dai

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5713

zbMATH Keywords

positive solutionsbifurcationKirchhoff type equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25)

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Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros ⋮ Global bifurcation from intervals for problems with Pucci's operator ⋮ Existence and multiplicity of solutions for a quasilinear nonlocal problem ⋮ Some global results for a class of homogeneous nonlocal eigenvalue problems ⋮ Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations ⋮ Unnamed Item ⋮ Two Whyburn type topological theorems and its applications to Monge-Ampère equations ⋮ Weak and positive solutions for Kirchhoff type elliptic problems ⋮ Unnamed Item ⋮ Nonexistence and existence of positive solutions for the Kirchhoff type equation ⋮ Generalized limit theorem and bifurcation for problems with Pucci's operator ⋮ Ground states of elliptic problems over cones ⋮ On non-local nonlinear elliptic equations involving an eigenvalue problem ⋮ On indefinite Kirchhoff-type equations under the combined effect of linear and superlinear terms ⋮ Local minimizers for a class of functionals over the Nehari set

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