Existence of Renormalized Solution of Some Elliptic Problems in Orlicz Spaces

  • Lahsen Aharouch
  • Jaouad Bennouna
  • Abdelfettah Touzani
DOI: https://doi.org/10.5209/rev_REMA.2009.v22.n1.16319
Keywords: Orlicz Sobolev spaces, Boundary value problems, Truncations, Renormalized

Abstract

In this paper, we study the problem:—div a(x, u, ∆u) — div Φ(u) + g(x; u) = f in the framework of Orlicz spaces. The main contribution of our work is to prove the existence of a renormalized solution without any restriction on the N-function of the Orlicz space.

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Published
2009-03-11
How to Cite
Aharouch L. ., Bennouna J. . y Touzani A. . (2009). Existence of Renormalized Solution of Some Elliptic Problems in Orlicz Spaces. Revista Matemática Complutense, 22(1), 91-110. https://doi.org/10.5209/rev_REMA.2009.v22.n1.16319
Issue
Vol. 22 No. 1 (2009)
Section
Articles

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