Existence and concentration of positive solutions for a p-fractional Choquard equation
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Publication:2142867
DOI10.3934/math.2021748OpenAlexW3200175719MaRDI QIDQ2142867
Publication date: 30 May 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021748
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)
Cites Work
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- Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Semi-classical states for the Choquard equation
- A guide to the Choquard equation
- A Hopf's lemma and a strong minimum principle for the fractional \(p\)-Laplacian
- Existence of semiclassical ground state solutions for a generalized Choquard equation
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Semiclassical states for fractional Choquard equations with critical growth
- Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay
- Multiplicity and concentration results for a fractional Choquard equation via penalization method
- Nodal solutions for a fractional Choquard equation
- Minimax theorems
- Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- On existence and concentration behavior of positive ground state solutions for a class of fractional Schrödinger-Choquard equations
- On the multiplicity and concentration of positive solutions for a \(p\)-fractional Choquard equation in \(\mathbb{R}^N\)
- Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent
- On fractional Schrödinger systems of Choquard type
- The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system
- Saddle solutions for the Choquard equation
- Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Ground state solutions for non-autonomous fractional Choquard equations
- Ground states for nonlinear fractional Choquard equations with general nonlinearities
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Strongly interacting bumps for the Schrödinger–Newton equations
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- On fractional Choquard equations
