Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 61, pp. 1-10.

Title: Existence of solutions for discontinuous functional equations
       and  elliptic boundary-value problems

Authors: Siegfried Carl (Florida Inst. of Technology, FL, USA,)
         Seppo Heikkila (Univ. of Oulu, Finland)
         
Abstract: 
 We prove existence results for discontinuous functional equations
 in general $L^p$-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.