A Dirichlet problem involving the divergence operator

  • G. Csató

    Tata Institute of Fundamental Research, Centre for Applicable Mathematics, 560065 Bangalore, India
  • B. Dacorogna

    Section de Mathématiques, EPFL, 1015 Lausanne, Switzerland

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