Work

Positive solutions for double singularly perturbed Schroedinger Maxwell systems

Year: 2017

Type: preprint

Abstract: We show that the number of solutions of a double singularly perturbed Schroedinger Maxwell system on a smooth bounded domain A depends on the topological properties of the domain. In particular if A is non contractible we obtain cat(A) + 1 positive solutions. The result is obtained via Lusternik Schnirelmann category theory

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1710.03552

Authors: Ghimenti, Marco, Micheletti, Anna Maria

Institutions: Istituto Nazionale di Alta Matematica Francesco Severi, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2762743754

Cites: 18

Cited by:

Related to: 20