A Dirichlet problem involving the divergence operatord

作者:Csato G; Dacorogna B*
来源:ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2016, 33(3): 829-848.
DOI:10.1016/j.anihpc.2015.01.006

摘要

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.

  • 出版日期2016-6