Work

Schrödinger systems with critical coupling in $$ \mathbb {R}^N$$

Year: 2026

Type: article

Abstract: This paper is concerned with the existence and multiplicity of positive solutions for nonlinear Schrödinger systems in $$ \mathbb {R}^N$$ R N with a critical weak coupling. The existence of a positive least energy solution is also studied. The proofs of the main results rely on local and global minimization arguments and minimax methods applied to an associated functional restricted to the Nehari manifold. Appropriated estimates for the critical levels, based on the argument of Brezis and Nirenberg for the scalar problem, are a key ingredient to deal with the lack of compactness of the functional.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-026-03269-6

Authors: Claudiney Goulart, Elves A. B. Silva

Institutions: Universidade Federal de Jataí, Universidade de Brasília

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico