Existence of positive solutions for nonlocal problems with indefinite nonlinearity

DOI10.1186/s13661-020-01343-2zbMath1489.35116OpenAlexW3030002244MaRDI QIDQ2126561

Wen Chao, Xiaotao Qian

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01343-2

zbMATH Keywords

variational methodsKirchhoff-type equationexistence of a positive solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items

New multiplicity of positive solutions for some class of nonlocal problems ⋮ High perturbations of a new Kirchhoff problem involving the \(p\)-Laplace operator ⋮ Positive Ground State Solutions for a Critical Nonlocal Problem in Dimension Three ⋮ Multiple positive solutions and estimates of extremal values for a nonlocal problem with critical Sobolev exponent and concave-convex nonlinearities ⋮ Three solutions for a new Kirchhoff-type problem ⋮ Positive solution for a nonlocal problem with strong singular nonlinearity ⋮ Multiple positive solutions for Kirchhoff-type problems involving supercritical and critical terms ⋮ Multiple nontrivial solutions for a nonlocal problem with sublinear nonlinearity ⋮ Ground state sign-changing solutions for a class of nonlocal problem ⋮ Negative energy solutions for a new fractional \(p(x)\)-Kirchhoff problem without the (AR) condition ⋮ Unnamed Item ⋮ Infinitely many solutions for a new class of Schrödinger-Kirchhoff type equations in \(\mathbb{R}^N\) involving the fractional \(p\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Bound state solutions of Kirchhoff type problems with critical exponent
• Existence and multiplicity of nontrivial solutions for a class of Schrödinger-Kirchhoff-type equations
• Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Existence results of positive solutions of Kirchhoff type problems
• Extinction for a discrete competition system with feedback controls
• Strong convergence in the \(p\)th-mean of an averaging principle for two-time-scales SPDEs with jumps
• Certain fractional calculus formulas involving extended generalized Mathieu series
• On anisotropic parabolic equations with a nonlinear convection term depending on the spatial variable
• Multiple positive solutions of a class of Schrödinger-Poisson equation involving indefinite nonlinearity in \(\mathbb{R}^3\)
• Multiplicity of positive solutions for a class of critical Sobolev exponent problems involving Kirchhoff-type nonlocal term
• Existence and multiplicity of nontrivial solutions for a nonlocal problem
• Dual variational methods in critical point theory and applications
• Multiple positive solutions to a class of Kirchhoff equation on \(\mathbb R^3\) with indefinite nonlinearity
• The critical problem of Kirchhoff type elliptic equations in dimension four
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
• Infinitely many positive solutions for Kirchhoff-type problems
• A critical Kirchhoff type problem involving a nonlocal operator
• Existence of Positive Solutions for Kirchhoff Type Problems with Critical Exponent
• Existence and multiplicity of positive solutions for a nonlocal problem