Special Session 21: Variational, topological, and set-valued methods for differential problems
Contents
In the present contribution we establish the existence of at least two distinct (positive) smooth solutions of a singular quasilinear system of elliptic equations with superhomogeneous condition.
The proof of existence of the first solution is based on the sub-supersolution methods for systems of quasilinear equations combined with perturbation arguments involving singular terms. The structure of the singular terms in the system is essentially used to construct the sub-supersolution. The second solution is obtained via topological degree argument combined with a priori bounds of solutions.