Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth

DOI10.1007/S13540-022-00052-0zbMath1503.35267OpenAlexW4281738656WikidataQ114016999 ScholiaQ114016999MaRDI QIDQ2110515

Houwang Li, Meiqi Liu, Quanqing Li

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00052-0

zbMATH Keywords

positive solutionfractional Choquard equationsemi-classical solution

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Nodal solutions for the Choquard equation
• Hitchhiker's guide to the fractional Sobolev spaces
• Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
• Semiclassical states for fractional Schrödinger equations with critical growth
• Ground state solutions for Hamiltonian elliptic system with inverse square potential
• Classification of positive solitary solutions of the nonlinear Choquard equation
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• On fractional Schrödinger equation with periodic and asymptotically periodic conditions
• Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay
• Existence and multiplicity of solutions for fractional Choquard equations
• Fractional Choquard equation with critical nonlinearities
• Multiplicity and concentration results for a fractional Choquard equation via penalization method
• On the variational principle
• Minimax theorems
• Singularly perturbed critical Choquard equations
• On the Green function of the killed fractional Laplacian on the periodic domain
• Ground state solutions for fractional Choquard equations involving upper critical exponent
• Fractional problems with critical nonlinearities by a sublinear perturbation
• Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
• 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
• Bounded solutions of second order of accuracy difference schemes for semilinear fractional Schrödinger equations
• Existence of nontrivial solutions for fractional Choquard equations with critical or supercritical growth
• Ground states for fractional Schrödinger equations with critical growth
• 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
• Existence of nontrivial solutions for fractional Schrödinger equations with critical or supercritical growth
• Ground states for fractional Schrödinger equations with critical growth

This page was built for publication: Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth