In this paper, a new framework for studying the existence of generalized or strongly generalized solutions to a wide class of inclusion systems involving double-phase, possibly competing differential operators, convection, and mixed boundary conditions is introduced. The technical approach exploits Galerkin’s method and a surjective theorem for multifunctions in finite dimensional spaces.

Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions

Salvatore A. Marano;
2025-01-01

Abstract

In this paper, a new framework for studying the existence of generalized or strongly generalized solutions to a wide class of inclusion systems involving double-phase, possibly competing differential operators, convection, and mixed boundary conditions is introduced. The technical approach exploits Galerkin’s method and a surjective theorem for multifunctions in finite dimensional spaces.
2025
Dirichlet problem, p-Laplacian, singular term, discontinuous nonlinearity, strong solution
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/688450
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