Special Session 35: Elliptic PDEs: singularities, discontinuities, and nonlinear phenomena
Boundedness of solutions to Dirichlet, Neumann, Robin and mixed problems for elliptic equations in Orlicz spaces
Giuseppina G. Barletta
University of Reggio Calabria Italy
Co-Author(s): A. Cianchi, G. Marino, E. Tornatore
Abstract:
We present some boundedness results for boundary value problems for second-order elliptic equations in divergence form. We examine different boundary conditions and higlight the decisive role played by optimal forms of Orlicz-Sobolev embeddings and boundary trace embeddings, which allow for critical growths of the coefficients.