Resonance elliptic variational inequalities with discontinuous nonlinearities of linear growth
We consider resonance elliptic variational inequalities with second-order differential operators and discontinuous nonlinearity of linear grows. The theorem on the existence of a strong solution is obtained. The initial problem is reduced to the problem of the existence of a fixed point in a compa...
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| Datum: | 2011 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2011
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2737 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We consider resonance elliptic variational inequalities with second-order differential operators and discontinuous nonlinearity of linear grows.
The theorem on the existence of a strong solution is obtained.
The initial problem is reduced to the problem of the existence of a fixed point in a compact multivalued mapping and then,
with the use of the Leray - Schauder method, the existence of the fixed point is established. |
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