Abstract
We consider the problem {div u + (a; u) = f in Omega u = u(0) on partial derivative Omega. We show that if curl a (x(0)) not equal for some x(0) epsilon Omega, then the problem is solvable without restriction on f. We also discuss the regularity of the solution. (C) 2015 Elsevier Masson SAS. All rights reserved.
Details
Title
A Dirichlet problem involving the divergence operatord
Author(s)
Csato, G. ; Dacorogna, B.
Published in
Annales De L Institut Henri Poincare-Analyse Non Lineaire
Pagination
20
Volume
33
Issue
3
Pages
829-848
Date
2016
Publisher
Amsterdam, Elsevier Science Bv
ISSN
0294-1449
Other identifier(s)
View record in Web of Science
Laboratories
CAA
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAA - Chair of Mathematical Analysis and Applications
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2016-07-19