Special Session 104: 

Degenerate elliptic systems with variable exponents

Lingju Kong
University of Tennessee at Chattanooga
USA
Co-Author(s):    
Abstract:
We establish several criteria for the existence of nonnegative solutions of a degenerate elliptic system with $p_i(x)$-Laplacian operators defined on a bounded domain. Our analysis mainly utilizes variational arguments based on some recent theory on the weighted variable exponent Lebesgue-Sobolev spaces and critical point theories in Calculus of Variations.