Regularity of solutions to degenerate p-Laplace equations

Analysis Seminar
Wednesday, April 25, 2012 - 15:30
1 hour (actually 50 minutes)
Skiles 005
University of Alabama
Motivated by mappings of finite distortion, we consider degenerate p-Laplacian equations whose ellipticity condition is satisfied by thedistortion tensor and the inner distortion function of such a mapping. Assuming a certain Muckenhoupt type condition on the weightinvolved in the ellipticity condition, we describe the set of continuity of solutions.