Work

Bifurcation in two parameters for a quasilinear Schrödinger equation

Year: 2025

Type: article

Abstract: This paper deals with existence and multiplicity of positive solutions for the quasilinear Schrödinger equation { − Δ u − λ m ( x ) u Δ ( u 2 ) = f ( μ , x , u ) in Ω , u = 0 on ∂ Ω . where Ω is a bounded open domain in R N with smooth boundary and m is a bounded non negative continuous function. Under suitable assumptions on the asymptotically linear f , we use bifurcation theory to analyze the set of positive solutions.

Source: Electronic journal of qualitative theory of differential equations

DOI: 10.14232/ejqtde.2025.1.22

Authors: David Arcoya, Josè Carmona, Miguel Martínez-Teruel

Institutions: Universidad de Granada, University of Almería

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond