Electronic Journal of Differential Equations
We prove existence results for discontinuous functional equations in general Lp-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. © 2002 Southwest Texas State University.
Carl, S., & Heikkilä, S. (2002). Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Electronic Journal of Differential Equations, 2002, XCXXI-XCXXII.