Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501698 | Journal of Differential Equations | 2005 | 19 Pages |
Abstract
We study the existence, non-existence, and multiplicity of positive solutions for a class of systems of second-order ordinary differential equations using the fixed-point theorem of cone expansion/compression type, the upper-lower solutions method, and degree arguments. We apply our abstract results to study semilinear elliptic systems in bounded annular domains with non-homogeneous boundary conditions. Here the nonlinearities satisfy local superlinear assumptions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
João Marcos do Ã, Sebastián Lorca, Pedro Ubilla,