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- L. AHAROUCH, E. AZROUL, A. BENKIRANE
- 2006

In this paper we study the existence of solutions for the generated boundary value problem , with initial datum being an element of L 1 (Ω) + W −1,p where a(.) is a Carathéodory function satisfying the classical condition of type Leray-Lions hypothesis, while g(x, s, ξ) is a non-linear term which has a growth condition with respect to ξ and no growth with… (More)

- E. Azroul, M. B. Benboubker, M. Rhoudaf
- Mathematics and Computers in Simulation
- 2014

In this paper, we study the existence of entropy solution for quasilinear elliptic equations of the form, for some right-hand side datum f in L 1 (Ω). Note that g(x, s, ξ) is a non-linear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s.(x)-solutions for nonlinear elliptic equations… (More)

We prove an existence result for a class of nonlinear parabolic systems. Without assumptions on the growth of some nonlinear terms, we prove the existence of a renormalized solution.

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