Solvability of nonlinear multivalued elliptic problems involving degenerate coercivity with variable exponents and L1-data

Youssef Akdim, Mohammed Belayachi, Morad Ouboufettal · Filomat · 2024

This paper is interested in studying existence results for a general class of nonlinear elliptic problems with variable exponents associated with the differential inclusion and degenerate coercivity. We prove an existence of entropy solutions for this non-coercive differential inclusion. Moreover, we will give some regularity results for these solutions.

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