The existence of ground state solutions for a Schrödinger-Bopp-Podolsky system with convolution nonlinearity

DOI10.1007/s12220-023-01437-0zbMath1525.35108MaRDI QIDQ6057172

Sitong Chen, Muhua Shu, Yao Xiao

Publication date: 25 October 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Schrödinger-Bopp-Podolsky systemexistence of ground state solutions

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) Higher-order elliptic systems (35J48)

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• On the existence of solutions for the Schrödinger-Poisson equations
• Ground state solutions of Schrödinger-Poisson systems with variable potential and convolution nonlinearity
• Minimax theorems
• Singularly perturbed critical Choquard equations
• Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth
• Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
• On the critical Schrödinger-Bopp-Podolsky system with general nonlinearities
• Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: solutions in the electrostatic case
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Nonlinear Analysis - Theory and Methods
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Existence of groundstates for a class of nonlinear Choquard equations
• Unnamed Item

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