Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

Benboubker, M. B.; Nassouri, E.; Ouaro, S.; Traoré, U.

doi:10.2478/mjpaa-2022-0012

Abstract

In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W^1,^p⁽·⁾(Ω).

References

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Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

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