Implicit elliptic boundary-value problems with discontinuous nonlinearities |
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Authors: | Salvatore A Marano |
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Institution: | (1) Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy |
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Abstract: | Let be a bounded domain in n (n3) having a smooth boundary, let be an essentially bounded real-valued function defined on × h, and let be a continuous real-valued function defined on a given subset Y of Y h. In this paper, the existence of strong solutions u W
2,p (, h) W
o
1,p
(n/2<p<+) to the implicit elliptic equation (–u)=(x,u), with u=(u1, u2, ..., uh) and u=(u
1, u
2, ..., u
h), is established. The abstract framework where the problem is placed is that of set-valued analysis. |
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Keywords: | 35J65 35J99 35R70 |
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