Renormalized solutions for a p (·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent
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28. Mai 2022
Über diesen Artikel
Online veröffentlicht: 28. Mai 2022
Seitenbereich: 163 - 178
Eingereicht: 06. Juni 2021
Akzeptiert: 30. Dez. 2021
DOI: https://doi.org/10.2478/mjpaa-2022-0012
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© 2022 M. B. Benboubker et al., published by Sciendo
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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