Notions of sublinearity and superlinearity for nonvariational elliptic systems
Notions of sublinearity and superlinearity for nonvariational elliptic systems
We study existence of solutions ofboundary-value problems for elliptic systems of type ($\po$)below. We introduce notions of sublinearity and superlinearity forsuch systems and show that sublinear systems always have apositive solution, while superlinear systems admit a positivesolution provided the set of their positive solutions is boundedin the uniform norm. These …