Florida Polytechnic University

Applied Mathematics & Science Seminar

Tues 10/28 in IST 1015 12:00-1:00pm

Speaker: Dr. Jaffar Ali - Dept of Mathematics Chair - Florida Gulf Coast University

Title: Positive Solutions for n x n Linear and Quasi-Linear Elliptic Systems with Combined Nonlinear Effects

Abstract: In this talk, I will present the study of the existence and multiplicity of positive solutions to n x n systems of elliptic equations over a bounded domain in R-n with smooth boundary. Forcing functions belong to a class of strictly increasing functions that have a combined sublinear effect at infinity. We establish results for positone and semipositone systems by the method of sub and supersolutions. I will also show how to extend the study to quasi-linear elliptic p-Laplacian systems.