Ground state solution for a class of Choquard equations involving general critical growth term

DOI10.1007/s41980-021-00624-5zbMath1498.35264OpenAlexW3204810433MaRDI QIDQ2079799

Yanyan Li

Publication date: 30 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00624-5

zbMATH Keywords

Choquard equationexistence of a ground state solution

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (1)

Existence and concentration behavior of ground states for a generalized quasilinear Choquard equation involving steep potential well

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple solutions to a magnetic nonlinear Choquard equation
• Semi-classical states for the Choquard equation
• Existence of semiclassical ground state solutions for a generalized Choquard equation
• Nonlinear scalar field equations. I: Existence of a ground state
• Classification of positive solitary solutions of the nonlinear Choquard equation
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Ground state solutions of Pohožaev type and Nehari type for a class of nonlinear Choquard equations
• On gravity's role in quantum state reduction
• Minimax theorems
• Positive and sign changing solutions to a nonlinear Choquard equation
• Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well
• Non-Nehari manifold method for asymptotically periodic Schrödinger equations
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Strongly interacting bumps for the Schrödinger–Newton equations
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Spherically-symmetric solutions of the Schrödinger-Newton equations
• Existence of solutions for critical Choquard equations via the concentration-compactness method
• Existence of groundstates for a class of nonlinear Choquard equations
• Ground state solution for a class of Schrödinger equations involving general critical growth term

This page was built for publication: Ground state solution for a class of Choquard equations involving general critical growth term