Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II
We use energy methods to prove the existence and uniqueness of solutions of the Dirichlet problem for an elliptic nonlinear second-order equation of divergence form with a superlinear tem [i.e., g(x, u)=v(x) a(x)⋎u⋎ p−1u,p>1] in unbounded domains. Degeneracy in the ellipticity condition is al...
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| Datum: | 1997 |
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| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511368045658112 |
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| author | Bonafede, S. Бонафеде, С. Бонафеде, С. |
| author_facet | Bonafede, S. Бонафеде, С. Бонафеде, С. |
| author_sort | Bonafede, S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:26:15Z |
| description | We use energy methods to prove the existence and uniqueness of solutions of the Dirichlet problem for an elliptic nonlinear second-order equation of divergence form with a superlinear tem [i.e., g(x, u)=v(x) a(x)⋎u⋎ p−1u,p>1] in unbounded domains. Degeneracy in the ellipticity condition is allowed. Coefficients a i,j(x,r) may be discontinuous with respect to the variable r. |
| first_indexed | 2026-03-24T03:11:46Z |
| format | Article |
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| id | umjimathkievua-article-5164 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:46Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/87/520f545ba4bf5a4094332669635dc987.pdf |
| spelling | umjimathkievua-article-51642020-03-18T21:26:15Z Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II Строго нелинейные вырожденные эллиптические уравнения с разрывными коэффициентами. II Bonafede, S. Бонафеде, С. Бонафеде, С. We use energy methods to prove the existence and uniqueness of solutions of the Dirichlet problem for an elliptic nonlinear second-order equation of divergence form with a superlinear tem [i.e., g(x, u)=v(x) a(x)⋎u⋎ p−1u,p>1] in unbounded domains. Degeneracy in the ellipticity condition is allowed. Coefficients a i,j(x,r) may be discontinuous with respect to the variable r. Використано енергетичні методи для доведення існування та єдиності розв'язків задачі Діріхле для еліптичного рівняння другого порядку дивергентної форми з суперлінійним членом (тобто g(x, u)=v(x) a(x)⋎u⋎ p−1u,p>1]) в необмеженій області. В умові еліптичності дозволяється виродженність, коефіцієнти a, a i,j(x,r) можуть бути розривними відносно r. Institute of Mathematics, NAS of Ukraine 1997-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5164 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 12 (1997); 1601–1609 Український математичний журнал; Том 49 № 12 (1997); 1601–1609 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5164/7024 https://umj.imath.kiev.ua/index.php/umj/article/view/5164/7025 Copyright (c) 1997 Bonafede S. |
| spellingShingle | Bonafede, S. Бонафеде, С. Бонафеде, С. Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II |
| title | Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II |
| title_alt | Строго нелинейные вырожденные эллиптические уравнения с разрывными коэффициентами. II |
| title_full | Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II |
| title_fullStr | Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II |
| title_full_unstemmed | Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II |
| title_short | Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II |
| title_sort | strongly nonlinear degenerate elliptic equations with discontinuous coefficients. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5164 |
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