Positive solutions for a Kirchhoff problem with vanishing nonlocal term

DOI10.1016/J.JDE.2018.04.027zbMath1394.35185arXiv1709.06463OpenAlexW2801791679WikidataQ111288268 ScholiaQ111288268MaRDI QIDQ1753207

João R. Santos Júnior, Gaetano Siciliano

Publication date: 28 May 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06463

zbMATH Keywords

variational methods positive solution Kirchhoff type equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items (34)

Solutions for critical Kirchhoff-type problems with near resonance ⋮ Existence and multiplicity of solutions for a $p$-Kirchhoff equation on ${\mathbb{R}}^N$ ⋮ Positive solutions for a Kirchhoff-type equation with critical and supercritical nonlinear terms ⋮ Nonexistence and parameter range estimates for convolution differential equations ⋮ Sobolev versus Hölder local minimizers in degenerate Kirchhoff type problems ⋮ Positive solutions for a class of nonlocal problems with possibly singular nonlinearity ⋮ Concentration and local uniqueness of minimizers for mass critical degenerate Kirchhoff energy functional ⋮ Multiple solutions for a Kirchhoff-type problem with vanishing nonlocal term and fractional $p$-Laplacian ⋮ Positive solutions of the $p$-Kirchhoff problem with degenerate and sign-changing nonlocal term ⋮ Nonlocal differential equations with (p,q)$ {(p,q)}$ growth ⋮ Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term ⋮ Convolution equations with variable time nonlocal coefficients ⋮ Anisotropic Navier Kirchhoff problems with convection and Laplacian dependence ⋮ An application of Sobolev's inequality to one-dimensional Kirchhoff equations ⋮ Multiplicity of positive solutions for an equation with degenerate nonlocal diffusion ⋮ Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations ⋮ Nonexistence and multiplicity of positive solutions for an equation with degenerate nonlocal diffusion ⋮ Multiplicity of positive solutions for a degenerate nonlocal problem with $p$-Laplacian ⋮ Variable exponent $p(x)$-Kirchhoff type problem with convection ⋮ Limiting behavior and local uniqueness of normalized solutions for mass critical Kirchhoff equations ⋮ A degenerate Kirchhoff-type inclusion problem with nonlocal operator ⋮ Nonlocal differential equations with convolution coefficients and applications to fractional calculus ⋮ Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient ⋮ Positive solutions for a degenerate Kirchhoff problem ⋮ Global multiplicity for very-singular elliptic problems with vanishing non-local terms ⋮ Existence of positive solutions for a class of semipositone problems with Kirchhoff operator ⋮ On non-local nonlinear elliptic equations involving an eigenvalue problem ⋮ A remark on fractionalp–Kirchhoff problems involving multiple zeros ⋮ An analysis of nonlocal difference equations with finite convolution coefficients ⋮ Existence of solutions for a nonhomogeneous elliptic Kircchoff type equation ⋮ Low perturbations and combined effects of critical and singular nonlinearities in Kirchhoff problems ⋮ On indefinite Kirchhoff-type equations under the combined effect of linear and superlinear terms ⋮ Nonlocal differential equations with convex convolution coefficients ⋮ Periodic solutions for nonlocal $p(t)$-Laplacian systems

Cites Work

This page was built for publication: Positive solutions for a Kirchhoff problem with vanishing nonlocal term