Éditeur(s) : HAL CCSD Résumé : To appear in TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS (16 pages). In the last two decades, many algebras of generalized functions have been constructed, particularly the so-called generalized Sobolev algebras. Our goal is to study the latter and some of their main properties. In this framework, we pose and solve a nonlinear degenerated Dirichlet problem with irregular data such as Dirac generalized functions. https://hal.archives-ouvertes.fr/hal-00004903
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