Half-correct solutions of elliptical variational inequalities with discontinuous nonlinearities
The existence of semiregular solutions is established for a certain class of variational inequalities with higher-order differential operators of elliptic type with a discontinuous nonlinearity. The proof is based on a general theorem on abstract variational inequalities with discontinuous operators...
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| Datum: | 2025 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2025
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9362 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | The existence of semiregular solutions is established for a certain class of variational inequalities with higher-order differential operators of elliptic type with a discontinuous nonlinearity. The proof is based on a general theorem on abstract variational inequalities with discontinuous operators, obtained by a variational method. |
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