Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials
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Publication:666610
DOI10.1007/S00033-019-1082-6zbMath1412.35126OpenAlexW2911681395WikidataQ128588602 ScholiaQ128588602MaRDI QIDQ666610
Publication date: 6 March 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-019-1082-6
Related Items (11)
Dynamics of nonlinear hyperbolic equations of Kirchhoff type ⋮ A perturbation approach to studying sign-changing solutions of Kirchhoff equations with a general nonlinearity ⋮ Ground state solutions of Schrödinger-Kirchhoff equations with potentials vanishing at infinity ⋮ Existence of positive solutions for Kirchhoff-type problem in exterior domains ⋮ Infinitely many localized semiclassical states for nonlinear Kirchhoff-type equation ⋮ High energy semiclassical states for Kirchhoff problems with critical frequency ⋮ Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity ⋮ Existence of solutions for sublinear Kirchhoff problems with sublinear growth ⋮ Local uniqueness of multi-bump solutions for singularly perturbed Kirchhoff problems ⋮ Semi-classical solutions for Kirchhoff type problem with a critical frequency ⋮ Multiple positive solutions to Kirchhoff equations with competing potential functions in \(\mathbb{R}^3\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
- Variational, topological, and partial order methods with their applications
- The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- On a class of nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Multi-peak solutions for some singular perturbation problems
- Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
- On concentration of positive bound states of nonlinear Schrödinger equations
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Existence of positive solutions for a problem with lack of compactness involving the \(p\)-Laplacian
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- The critical problem of Kirchhoff type elliptic equations in dimension four
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Concentrating Bound States for Kirchhoff Type Problems in ℝ3 Involving Critical Sobolev Exponents
- Uniqueness of standing waves for nonlinear Schrödinger equations
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
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