Boukhatem, Y.Benyattou, B.Abita, R.2024-07-122024-07-122009Boukhatem, Y., Benyattou, B. ve Abita, R. (2009). Non linear boundary value problem: Faedo-Galerkin methode of the non linear boundary value problem. Maltepe Üniversitesi. s. 383.9.78605E+12https://hdl.handle.net/20.500.12415/2321In 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.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessCompacityFaedo-galerkinGronwallCauchy schwartz inequalityHolder inequalityVariational problemConference Object384383