Generalized Solutions for Elliptic Problems with Measure as Data in $\mathbb{L}^{1, p(\cdot)}_{0}(\Omega)$

Hichem Khelifi, Mohamed Amine Zouatini

Abstract


In this work, we generalize the notions of $\mathbb{T}$-sets to a larger framework, and we establish the existence of a generalized solution for nonlinear elliptic equations, involving variable exponents and measure data.

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