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

M. B. Benboubker

M. B. Benboubker

Ecole Supérieure de Technologie de Fès, Université Sidi Mohamed Ben AbdellahFès,
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Benboubker, M. B.
, 
E. Nassouri

E. Nassouri

Université Thomas SANKARABurkina Faso
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Nassouri, E.
, 
S. Ouaro

S. Ouaro

Université Joseph Ki-ZerboBurkina Faso
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Ouaro, S.
 and 
U. Traoré

U. Traoré

Université Joseph Ki-ZerboBurkina Faso
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Traoré, U.
  
May 28, 2022
Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent's Cover Image
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Published Online: May 28, 2022
Page range: 163 - 178
Received: Jun 06, 2021
Accepted: Dec 30, 2021
DOI: https://doi.org/10.2478/mjpaa-2022-0012
Keywords
© 2022 M. B. Benboubker et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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 W1,p(·)(Ω).

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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