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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)
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.
We prove the existence of solutions for nonlinear degenerate elliptic boundary-value problems of higher order. Solutions are obtained using pseudo-monotonicity theory in a suitable weighted Sobolev space.