arXiv:math/0505228 Abstract

arXiv:math/0505228 [math.FA]Abstract References Reviews Resources

On generalized Sobolev algebras and their applications

Published 2005-05-11Version 1

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.

Comments: To appear in "Topological Methods in Nonlinear Analysis" (16 pages)

Categories: math.FA

Subjects: 35J70, 46F30, 46E35, 35D05, 35B50

Keywords: generalized sobolev algebras, applications, nonlinear degenerated dirichlet problem, irregular data, main properties

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