Special Session 33: Variational, Topological and Set-Valued Methods for Nonlinear Differential Problems
Global regularity for Robin-type double phase boundary value problems
Alejandro Velez-Santiago
University of Puerto Rico - Rio Piedras Campus USA
Co-Author(s): Angel Crespo-Blanco, Patrick Winkert
Abstract:
We are concerned with a inhomogeneous elliptic problem involving the double phase Laplace-type operator and Robin boundary conditions. Under minimal conditions on the coefficients and inhomogeneous data, we establish the first known result concerning the full global H\older continuity of weak solutions.