Positive solutions for a nonlocal problem with a convection term and small perturbations

DOI10.1002/mma.4003zbMath1358.35047OpenAlexW2428743348MaRDI QIDQ2960173

Jiayin Liu, Li Wang, Pei-Hao Zhao

Publication date: 7 February 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4003

zbMATH Keywords

mountain pass theoremperturbation problemKirchhoff-type equationconvection term

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term ⋮ Unnamed Item ⋮ Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods ⋮ Multiple positive solutions for degenerate elliptic equations with singularity and critical cone Sobolev exponents ⋮ Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian ⋮ An existence result for a class of Kirchhoff type systems via dynamical methods

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