Siegfried Carl & Seppo Heikkila
We prove existence results for discontinuous functional equations in general -spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. The main tool in the proof is a fixed point result in lattice-ordered Banach spaces proved by the second author.
Submitted January 15, 2002. Published June 25, 2002.
Math Subject Classifications: 35J65, 35R05, 35R10.
Key Words: functional equations, elliptic boundary-value problems, discontinuous nonlinearities.
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