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Yayın Non linear boundary value problem: Faedo-Galerkin methode of the non linear boundary value problem(Maltepe Üniversitesi, 2009) Boukhatem, Y.; Benyattou, B.; Abita, R.In this note, we consider a nonlinear boundary value problem. The use of Faedo-Galerkin techniques and a compactness result, while passing to the limit, we prove the existence of the variational solution of the considered problem. A new result is given by showing the uniqueness of the solution basing on the hypotheses which are weaker than those considered by ([6] : J.L. Lions, Quelques m´ethodes de r´esolution des probl`emes aux limites non lin´eaires, Paris, Dunod, (1969)), for a similar problem. We will finish by studying the regularity of the gotten solution.
