Abstract
The purpose of this work is to prove the existence and uniqueness of a class of nonlinear unilateral elliptic problem (P) in an arbitrary domain, managed by a low-order term and non-polynomial growth described by an N-uplet of N-function satisfying the Δ2-condition. The source term is merely integrable.
Highlights
Let Ω be an arbitrary domain of R N, ( N ≥ 2)
We investigate the existence and uniqueness solution of the following problem: (P )
We cite [4,8,9] for the Sobolev space with variable exponent
Summary
We investigate the existence and uniqueness solution of the following problem:. For more outcomes concerning the existence of solutions of this class in the Lebesgue Sobolev spaces We cite [4,8,9] for the Sobolev space with variable exponent. The oddity of our present paper is to continue in this direction and to show the existence and uniqueness of entropy solution for equations (P ) governed with growth and described by an N-uplet of N-functions satisfying the ∆2 -condition, within the fulfilling of anisotropic Orlicz spaces.
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