On generalized Sobolev algebras and their applications
KeywordsNonlinear degenerate Dirichlet problem, generalized solution, Sobolev algebra, non positive solution
AbstractIn 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.
How to Cite
BERNARD, Séverine & NUIRO, Silvère P. On generalized Sobolev algebras and their applications. Topological Methods in Nonlinear Analysis [online]. 1 June 2005, T. 25, nr 2, s. 375–390. [accessed 25.3.2023].
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