A Dirichlet problem involving the divergence operator
G. Csató
Tata Institute of Fundamental Research, Centre for Applicable Mathematics, 560065 Bangalore, IndiaB. Dacorogna
Section de Mathématiques, EPFL, 1015 Lausanne, Switzerland
![A Dirichlet problem involving the divergence operator cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpc-volume-33-issue-3.png&w=3840&q=90)
Abstract
We consider the problem
We show that if for some , then the problem is solvable without restriction on . We also discuss the regularity of the solution.
Cite this article
G. Csató, B. Dacorogna, A Dirichlet problem involving the divergence operator. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 3, pp. 829–848
DOI 10.1016/J.ANIHPC.2015.01.006