Special Session 3: Dynamics of ODES and Nonlinear Parabolic Systems

Positive solutions of elliptic eigenvalue problems and heterogeneous logistic problems with glued Dirichlet-Neumann mixed boundary conditions

Santiago Cano-Casanova
Universidad Pontificia Comillas
Spain
Co-Author(s):    
Abstract:
In this talk we will deal with principal eigenvalues of elliptic boundary value problems with glued Dirichlet-Robin mixed boundary conditions, and we will see its application to the analysis of the existence of positive solutions of heterogeneous elliptic logistic problems with this kind of boundary conditions. Also, we will analyze the asymptotic behavior of the positive solutions of a very general class of heterogeneous logistic problems with nonlinear mixed boundary conditions, when the nonlinear term on the boundary condition blows up in the region where it does not vanish.