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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
, 
E. Nassouri
E. Nassouri
, 
S. Ouaro
S. Ouaro
 et 
U. Traoré
U. Traoré
   | 28 mai 2022
Moroccan Journal of Pure and Applied Analysis's Cover Image
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Publié en ligne: 28 mai 2022
Pages: 163 - 178
Reçu: 06 juin 2021
Accepté: 30 déc. 2021
DOI: https://doi.org/10.2478/mjpaa-2022-0012
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© 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).

eISSN:
2351-8227
Langue:
Anglais
Périodicité:
3 fois par an
Sujets de la revue:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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