Carl, SiegfriedHeikkila, Seppo2020-08-112020-08-112002-06-25Carl, S., & Heikkila, S. (2002). Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. <i>Electronic Journal of Differential Equations, 2002</i>(61), pp. 1-10.1072-6691https://hdl.handle.net/10877/12363We 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalFunctional equationsElliptic boundary-value problemsDiscontinuous nonlinearitiesArticle