Normalized ground states for a Hardy-Littlewood-Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms

DOI10.1016/J.AML.2022.108521zbMath1505.35114OpenAlexW4313201337MaRDI QIDQ2677878

Zhewen Chen, Jianqing Chen

Publication date: 6 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108521

zbMATH Keywords

ground statesChoquard-type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61)

Cites Work

• Minimax theorems
• Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities
• Standing waves to upper critical Choquard equation with a local perturbation: multiplicity, qualitative properties and stability
• Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
• Orbital stability of ground states for a Sobolev critical Schrödinger equation
• Normalized solutions for a critical Hartree equation with perturbation
• Multiple normalized solutions for a Sobolev critical Schrödinger equation
• Normalized solutions for a class of nonlinear Choquard equations
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• The existence of positive solutions with prescribed L2-norm for nonlinear Choquard equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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