Ground states for Kirchhoff equations without compact condition
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Publication:2351977
DOI10.1016/j.jde.2015.04.005zbMath1319.35018OpenAlexW2053284229MaRDI QIDQ2351977
Publication date: 29 June 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2015.04.005
Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Unnamed Item
- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Nonlinear scalar field equations. I: Existence of a ground state
- Ground states of nonlinear Schrödinger equations with potentials
- On the existence of solutions for the Schrödinger-Poisson equations
- Positive solutions of some nonlinear elliptic problems in exterior domains
- Regularity for a more general class of quasilinear equations
- On a class of nonlinear Schrödinger equations
- Minimax theorems
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- On harnack type inequalities and their application to quasilinear elliptic equations
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