A Dirichlet problem involving the divergence operatord

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.


Published in:
Annales De L Institut Henri Poincare-Analyse Non Lineaire, 33, 3, 829-848
Year:
2016
Publisher:
Amsterdam, Elsevier Science Bv
ISSN:
0294-1449
Keywords:
Laboratories:




 Record created 2016-07-19, last modified 2018-12-03


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