Some remarks on uniqueness of positive solutions to Kirchhoff type equations
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Publication:2060908
DOI10.1016/J.AML.2021.107642zbMath1480.35233OpenAlexW3197446370MaRDI QIDQ2060908
Publication date: 13 December 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107642
Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (6)
Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory ⋮ Infinitely many large energy solutions to a class of nonlocal discrete elliptic boundary value problems ⋮ Ground state sign-changing solutions for Schrödinger-Kirchhoff equation with asymptotically cubic or supercubic nonlinearity ⋮ Existence of positive solutions for Kirchhoff-type problem in exterior domains ⋮ Multiple results on nontrivial solutions of discrete Kirchhoff type problems ⋮ Existence and multiplicity solutions for discrete Kirchhoff type problems
Cites Work
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- Concentrating bounded states for a class of singularly perturbed Kirchhoff type equations with a general nonlinearity
- Ground state solutions for Hamiltonian elliptic system with inverse square potential
- Existence and multiplicity of positive solutions for a class of Kirchhoff type problems at resonance
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- Sign-changing multi-bump solutions for Kirchhoff-type equations in \(\mathbb{R}^3\)
- Infinitely many solutions for a gauged nonlinear Schrödinger equation
- Nodal solutions for a Kirchhoff type problem in \(\mathbb{R}^N\)
- A singularly perturbed Kirchhoff problem revisited
- Ground states for Kirchhoff equations without compact condition
- Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
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