Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity
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Publication:2216497
DOI10.1007/s42985-020-00010-6zbMath1455.35093OpenAlexW3011648965MaRDI QIDQ2216497
Publication date: 16 December 2020
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-020-00010-6
Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09)
Related Items
Dynamics of nonlinear hyperbolic equations of Kirchhoff type ⋮ Ground state solutions of Schrödinger-Kirchhoff equations with potentials vanishing at infinity ⋮ High energy semiclassical states for Kirchhoff problems with critical frequency
Cites Work
- 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 \(\mathbb R^3\)
- Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Multi-bump bound states of Schrödinger equations with a critical frequency
- Nonlinear Schrödinger equations with vanishing and decaying potentials.
- On a class of nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- 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
- Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Existence and symmetry of multi-bump solutions for nonlinear Schrödinger equations
- Multiple positive solutions to Kirchhoff equations with competing potential functions in \(\mathbb{R}^3\)
- Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
- 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
- Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Concentrating Bound States for Kirchhoff Type Problems in ℝ3 Involving Critical Sobolev Exponents
- Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
- NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
- Existence of Multi-bump Standing Waves with a Critical Frequency for Nonlinear Schrödinger Equations
- Existence and multiplicity results for some superlinear elliptic problems on RN
