### Analyse algébrique d'un probléme de Dirichlet non linéaire et singulier

DOI: http://dx.doi.org/10.12775/TMNA.1999.016

#### Abstract

The algebraic structure of a factor ring and the topological structure of a

semi-normed algebra permit the construction of many algebras of generalized

functions. Some of them are well suitable to solve a non linear Dirichlet

problem with irregular data.

semi-normed algebra permit the construction of many algebras of generalized

functions. Some of them are well suitable to solve a non linear Dirichlet

problem with irregular data.

#### Keywords

nonlinear Dirichlet problem; algebras of generalized functions; generalized solution

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