Ground state solutions for nonlinear Choquard equation with singular potential and critical exponents

DOI10.1016/j.jmaa.2021.125799zbMath1480.35223OpenAlexW3212914916MaRDI QIDQ2059959

Senli Liu, Haibo Chen

Publication date: 13 December 2021

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.2021.125799

zbMATH Keywords

singular potentialnonlinear Choquard equationexistence of ground statescritical expont

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (1)

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

Cites Work

• Unnamed Item
• Nonlinear biharmonic problems with singular potentials
• Semi-classical states for the Choquard equation
• Compactness and existence results for the \(p\)-Laplace equation
• Groundstates of the Choquard equations with a sign-changing self-interaction potential
• Nonlinear scalar field equations. I: Existence of a ground state
• Existence of solitary waves in higher dimensions
• On a nonlinear Schrödinger equation with periodic potential
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Odd symmetry of least energy nodal solutions for the Choquard equation
• On gravity's role in quantum state reduction
• Minimax theorems
• Positive solution to Schrödinger equation with singular potential and double critical exponents
• A critical fractional Choquard problem involving a singular nonlinearity and a Radon measure
• Ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev upper critical growth and potential vanishing at infinity
• Existence and uniqueness of solutions for Choquard equation involving Hardy-Littlewood-Sobolev critical exponent
• A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
• A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations
• A note on nonlinear elliptic problems with singular potentials
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Existence of groundstates for a class of nonlinear Choquard equations

This page was built for publication: Ground state solutions for nonlinear Choquard equation with singular potential and critical exponents