Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/61/abstr.html |