New result for nonlinear Choquard equations: doubly critical case

DOI10.1016/j.aml.2019.106092zbMath1440.35142OpenAlexW2980351166WikidataQ127006207 ScholiaQ127006207MaRDI QIDQ2184903

Yanyan Li

Publication date: 2 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106092

zbMATH Keywords

existence of solutionscritical exponentChoquard 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)

Related Items (14)

Infinitely many sign-changing solutions for Choquard equation with doubly critical exponents ⋮ Radial ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev lower critical growth ⋮ Semiclassical states for Schrödinger-Poisson system with Hartree-type nonlinearity ⋮ Existence and concentration of solutions for Choquard equations with steep potential Well and doubly critical exponents ⋮ Bound state positive solutions for a class of elliptic system with Hartree nonlinearity ⋮ Existence of ground‐state solutions for p‐Choquard equations with singular potential and doubly critical exponents ⋮ Multiplicity and concentration results for fractional Choquard equations: doubly critical case ⋮ Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration ⋮ Semiclassical states to the nonlinear Choquard equation with critical growth ⋮ Multiplicity and concentration of positive solutions for critical Choquard equations with concave perturbation ⋮ Ground state solutions for a class of Choquard equations involving doubly critical exponents ⋮ Existence and nonexistence of solutions for a class of Kirchhoff type equation involving fractional \(p\)-Laplacian ⋮ Ground state solution ofp-Laplacian equation with finite many critical nonlinearities ⋮ EXISTENCE AND CONCENTRATION RESULT FOR KIRCHHOFF EQUATIONS WITH CRITICAL EXPONENT AND HARTREE NONLINEARITY

Cites Work

• Unnamed Item
• Unnamed Item
• A guide to the Choquard equation
• Stationary solutions of the Schrödinger-Newton model -- an ODE approach.
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• The one-dimensional Schrödinger-Newton equations
• Nonlinear Choquard equations: doubly critical case
• Fractional Choquard equation with critical nonlinearities
• Multiple solutions for the Schrödinger equations with sign-changing potential and Hartree nonlinearity
• Singularly perturbed critical Choquard equations
• Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• On fractional Choquard equations

This page was built for publication: New result for nonlinear Choquard equations: doubly critical case