Dirichlet problem for divergence form elliptic equations with discontinuous coefficients
Dipartimento di Matematica, Università di Salerno, via Ponte Don Melillo, Fisciano, (SA), 84084, Italy
Boundary Value Problems 2012, 2012:67 doi:10.1186/1687-2770-2012-67Published: 28 June 2012
We study the Dirichlet problem for linear elliptic second order partial differential equations with discontinuous coefficients in divergence form in unbounded domains. We establish an existence and uniqueness result and we prove an a priori bound in , .
MSC: 35J25, 35B45, 35R05.