Ground state solution for fractional \(p\)-Choquard equations with upper critical exponent

DOI10.1016/J.JMAA.2023.128073OpenAlexW4390561442MaRDI QIDQ6190952

No author found.

Publication date: 8 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.128073

zbMATH Keywords

Nehari manifoldexistence of a ground statefractional \(p\)-Choquard equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Existence and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy-Sobolev critical exponent
• Ground state solution on a Kirchhoff type equation involving two potentials
• Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent
• Minimax theorems
• Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
• Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities
• Ground state solutions for nonlinear Choquard equation with singular potential and critical exponents
• Ground-state nodal solutions for superlinear perturbations of the Robin eigenvalue problem
• Ground state solutions for the fractional Schrödinger-Poisson system with critical growth
• Existence and concentration of ground-states for fractional Choquard equation with indefinite potential
• Existence to fractional critical equation with Hardy-Littlewood-Sobolev nonlinearities
• Ground state solutions for fractional Choquard equations involving upper critical exponent
• Ground states and non-existence results for Choquard type equations with lower critical exponent and indefinite potentials
• Least energy solutions for fractional Kirchhoff problems with logarithmic nonlinearity
• Ground state solution for asymptotically periodic fractional \(p\)-Laplacian equation
• The sign-changing solutions for a class of p-Laplacian Kirchhoff type problem in bounded domains
• Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential
• Existence of groundstates for a class of nonlinear Choquard equations in the plane
• Symmetry of positive solutions for Choquard equations with fractional \(p\)-Laplacian
• Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Ground state solution for a class of Choquard equation with indefinite periodic potential
• The existence of a nontrivial solution to a nonlinear elliptic problem of linking type without the Ambrosetti-Rabinowitz condition
• Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in ℝN
• Groundstates for Choquard type equations with Hardy–Littlewood–Sobolev lower critical exponent
• Two positive solutions to non-autonomous Schrödinger–Poisson systems
• Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains

This page was built for publication: Ground state solution for fractional \(p\)-Choquard equations with upper critical exponent