ShowMe Analysis Meeting 2004 June 3-5, 2004 University of Missouri Columbia, Missouri

Nguyen Cong Phuc (University of Missouri)
Quasilinear equations involving p-Laplacian and measure data

Abstract: We study the following model quasilinear equation

where is a nonnegative finite measure on a domain , p>1 and q>p-1. In particular, necessary and sufficient conditions for the existence of positive solutions are given in terms of weighted norm inequalities, in terms of pointwise behavior of the corresponding potentials and in capacitary terms. This talk is based on joint work with I. Verbitsky.