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.

Two Positive Solutions for Elliptic Differential Inclusions

Bonanno, Gabriele
;
Morabito, Valeria;Vassallo, Bruno
2024-01-01

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.
2024
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3319949
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