Special Session 35: 

Nonhomogeneous Dirichlet problems with dependence on the gradient

Yunru Bai
Jagiellonian University
Poland
Co-Author(s):    Leszek Gasinski
Abstract:
The goal of the present paper is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial di erential operator with Dirichlet boundary condition and a convection term in which the reaction term is not required to satisfy any global growth condition. Our approach is based on the Leray-Schauder alternative principle, truncation and comparison approaches, and nonlinear regularity theory.