Work

On coupled systems of nonlinear Schrödinger and Choquard equations with distinct exponents

Year: 2025

Type: article

Abstract: In this paper, we are interested in the existence of a positive solution of the two coupled system of nonlinear Schrödinger and Choquard equations. Our equations admit the case that the nonlinearity exponents of two components are different. This includes, in particular, the upper and lower critical cases. We first investigate the existence of ground states and provide a criterion for two-component positiveness of ground states. In case where the ground state is semi-trivial, we construct a higher energy positive solution of the mountain-pass type on the Nehari manifold.

Source: Advanced Nonlinear Studies

DOI: 10.1515/ans-2023-0199

Authors: Dohoon Choi, Subong Lim, Jinmyoung Seok

Institutions: Korea University, Sungkyunkwan University, Seoul National University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,469

Funder: Ministry of Science and ICT, South Korea