On multi-bump solutions for the Choquard-Kirchhoff equations in \(\mathbb{R}^N\)
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Publication:6149431
DOI10.3934/dcdss.2023012OpenAlexW4319316691MaRDI QIDQ6149431
Sihua Liang, Shuaishuai Liang, Shaoyun Shi, Mingzhe Sun
Publication date: 5 February 2024
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2023012
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
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- Existence of positive multi-bump solutions for a Schrödinger-Poisson system in \(\mathbb{R}^{3}\)
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Nonlinear perturbations of a periodic Kirchhoff equation in \(\mathbb R^N\)
- 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
- The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
- Global Hölder regularity for the fractional \(p\)-Laplacian
- Multi-bump solutions for a class of Kirchhoff type problems with critical growth in \({\mathbb{R}}^N\)
- On multi-bump solutions of nonlinear Schrödinger equation with electromagnetic fields and critical nonlinearity in \(\mathbb {R}^N\)
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Remarks on an elliptic equation of Kirchhoff type
- Multiplicity of positive solutions of a nonlinear Schrödinger equation
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Multiple solutions for the nonhomogeneous Kirchhoff equation on \(\mathbb R^N\)
- Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
- Soliton solutions for quasilinear Schrödinger equations involving convolution and critical Nonlinearities
- Nontrivial solutions of quasilinear Choquard equation involving the \(p\)-Laplacian operator and critical nonlinearities.
- Multi-bump solutions for nonlinear Choquard equation with potential wells and a general nonlinearity
- Solutions for a class of quasilinear Choquard equations with Hardy-Littlewood-Sobolev critical nonlinearity
- Multi-bump solutions for fractional Schrödinger equation with electromagnetic fields and critical nonlinearity
- Multi-bump solutions for the nonlinear magnetic Schrödinger equation with exponential critical growth in \(\mathbb{R}^2 \)
- Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
- Existence of multi-bump solutions for a class of quasilinear Schrödinger equations in \(\mathbb{R}^{N}\) involving critical growth
- The critical problem of Kirchhoff type elliptic equations in dimension four
- Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
- Multi-bump solutions for Choquard equation with deepening potential well
- Multi-bump solutions for a Kirchhoff-type problem
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well
- Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method
- Some properties of weak solutions of nonlinear scalar field equations
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Existence and multiplicity of solutions for a quasilinear Choquard equation via perturbation method
- Existence of a nodal solution with minimal energy for a Kirchhoff equation
- On the Brezis-Nirenberg Problem with a Kirchhoff Type Perturbation
- Existence of multi-bump solutions for a class of Kirchhoff type problems in $\mathbb {R}^3$R3
- Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problemviapenalization method
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