Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent
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Publication:2289390
DOI10.1007/s13398-019-00768-4zbMath1430.35173arXiv1902.08403OpenAlexW3100656298MaRDI QIDQ2289390
Zhipeng Yang, Yue Li, Shaoxiong Chen
Publication date: 28 January 2020
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.08403
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Fractional partial differential equations (35R11)
Related Items (9)
Existence and concentration of positive solutions for a p-fractional Choquard equation ⋮ Asymptotic behavior of ground states for a fractional Choquard equation with critical growth ⋮ Existence and concentration of ground-states for fractional Choquard equation with indefinite potential ⋮ Existence and asymptotical behavior of multiple solutions for the critical Choquard equation ⋮ Multiplicity and concentration of solutions to a fractional p-Laplace problem with exponential growth ⋮ On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity ⋮ Multiplicity and concentration of solutions to a fractional \((p,p_1)\)-Laplace problem with exponential growth ⋮ Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth ⋮ On the singularly perturbation fractional Kirchhoff equations: critical case
Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Nonlocal diffusion and applications
- Hitchhiker's guide to the fractional Sobolev spaces
- Semi-classical states for the Choquard equation
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- On a periodic Schrödinger equation with nonlocal superlinear part
- Classification of positive solitary solutions of the nonlinear Choquard equation
- On a class of nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Semiclassical states for fractional Choquard equations with critical growth
- The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
- Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay
- Existence and multiplicity of solutions for fractional Choquard equations
- Three solutions for a fractional Schrödinger equation with vanishing potentials
- Fractional Choquard equation with critical nonlinearities
- Multiplicity and concentration results for a fractional Choquard equation via penalization method
- Nodal solutions for a fractional Choquard equation
- Multiplicity of solutions for a class of quasilinear problem in exterior domains with Neumann conditions
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Local mountain passes for semilinear elliptic problems in unbounded domains
- On existence and concentration behavior of positive ground state solutions for a class of fractional Schrödinger-Choquard equations
- Singularly perturbed critical Choquard equations
- Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth
- Bifurcation results for the critical Choquard problem involving fractional \(p\)-Laplacian operator
- On fractional Schrödinger systems of Choquard type
- Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method
- Ground state solutions for non-autonomous fractional Choquard equations
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Ground states for nonlinear fractional Choquard equations with general nonlinearities
- Strongly interacting bumps for the Schrödinger–Newton equations
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- On fractional Choquard equations
- Existence of groundstates for a class of nonlinear Choquard equations
- Existence and asymptotic behavior of the least energy solutions for fractional Choquard equations with potential well
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Solutions concentrating around the saddle points of the potential for critical Schrödinger equations
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