Existence of Solutions for Discontinuous Functional Equations and Elliptic Boundary-Value Problems

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carl.pdf (221.8 KB)
Date
2002-06-25
Authors
Carl, Siegfried
Heikkila, Seppo
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Functional equations, Elliptic boundary-value problems, Discontinuous nonlinearities
Citation
Carl, 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.
URI
https://hdl.handle.net/10877/12363
Collections
Electronic Journal of Differential Equations