Ground state solution of Schrödinger-Poisson-Choquard equation: double critical case

DOI10.1007/s00025-022-01684-7zbMath1496.35207OpenAlexW4283368611MaRDI QIDQ2152602

Yanyan Li

Publication date: 8 July 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01684-7

zbMATH Keywords

existence of ground state solutionsSchrödinger-Poisson-Choquard equation

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (1)

Ground states for nonlinear fractional Schrödinger–Poisson systems with general convolution nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems
• Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
• On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
• Sharp lower bounds for Coulomb energy
• The Thomas-Fermi theory of atoms, molecules and solids
• Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation
• Solutions of Hartree-Fock equations for Coulomb systems
• Minimax theorems
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• On the existence of ground states of an equation of Schrödinger-Poisson-Slater type
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• GROUND AND BOUND STATES FOR A STATIC SCHRÖDINGER–POISSON–SLATER PROBLEM
• Some remarks on Hartree equation
• Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces

This page was built for publication: Ground state solution of Schrödinger-Poisson-Choquard equation: double critical case