Work

Two Positive Solutions for Elliptic Differential Inclusions

Year: 2024

Type: article

Abstract: The existence of two positive solutions for an elliptic differential inclusion is established, assuming that the nonlinear term is an upper semicontinuous set-valued mapping with compact convex values having subcritical growth. Our approach is based on variational methods for locally Lipschitz functionals. As a consequence, a multiplicity result for elliptic Dirichlet problems having discontinuous nonlinearities is pointed out.

Source: AppliedMath

DOI: 10.3390/appliedmath4040074

Authors: Gabriele Bonanno, Valeria Morabito, Donal O’Regan, Bruno Vassallo

Institutions: University of Messina, Ollscoil na Gaillimhe – University of Galway

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,137

OpenAlex ID: W4404060802

FWCI: 1.562

Cites: 26

Cited by: 2

Related to: 10