Sur l'unicité de problèmes quasilinéaires elliptiques et de leurs approximations numériques

Abstract : The first part of this work deals with the uniqueness for solutions of quasi-lear elliptic equations. We try to give simple conditions and to construct counter-examples for the cases where the conditions fail to hold. The second part deals with the approximations, in some finite dimensional subspace, for the problem treated in the first part. We study the convergence for approximated solutions and their uniqueness. In the third part, we study the uniqueness for solutions of a quasilinear elliptic system. We give counterxamples which show that uniqueness may fall
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Nelly André. Sur l'unicité de problèmes quasilinéaires elliptiques et de leurs approximations numériques. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1993. Français. ⟨NNT : 1993METZ017S⟩. ⟨tel-01775426⟩

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