Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
In this article we consider quasi-linear second-order elliptic equations of divergence structure with Makenhaupt weight that degenerates over a small part of the domain. We show that the classical Harnack's inequality does not hold in this case, and prove an appropriate Harnack's ine...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2017-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/79/abstr.html |
| _version_ | 1818512511500025856 |
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| author | Yuriy A. Alkhutov Sarvan T. Huseynov |
| author_facet | Yuriy A. Alkhutov Sarvan T. Huseynov |
| author_sort | Yuriy A. Alkhutov |
| collection | DOAJ |
| description | In this article we consider quasi-linear second-order elliptic equations
of divergence structure with Makenhaupt weight that degenerates over
a small part of the domain. We show that the classical Harnack's
inequality does not hold in this case, and prove an appropriate Harnack's
inequality for the considered equation. |
| first_indexed | 2024-12-10T23:47:53Z |
| format | Article |
| id | doaj.art-1c38bffa2047492b9c4405fe2b9689c5 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T23:47:53Z |
| publishDate | 2017-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-1c38bffa2047492b9c4405fe2b9689c52022-12-22T01:28:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-03-01201779,113Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domainYuriy A. Alkhutov0Sarvan T. Huseynov1 Stoletov Vladimir State Univ., Vladimir, Russia Baku State Univ., Baku, Azerbaijan In this article we consider quasi-linear second-order elliptic equations of divergence structure with Makenhaupt weight that degenerates over a small part of the domain. We show that the classical Harnack's inequality does not hold in this case, and prove an appropriate Harnack's inequality for the considered equation.http://ejde.math.txstate.edu/Volumes/2017/79/abstr.htmlp-LaplasianMuckenhoupt weightHarnack's inequality |
| spellingShingle | Yuriy A. Alkhutov Sarvan T. Huseynov Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain Electronic Journal of Differential Equations p-Laplasian Muckenhoupt weight Harnack's inequality |
| title | Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain |
| title_full | Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain |
| title_fullStr | Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain |
| title_full_unstemmed | Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain |
| title_short | Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain |
| title_sort | harnack s inequality for p laplacian equations with muckenhoupt weight degenerating in part of the domain |
| topic | p-Laplasian Muckenhoupt weight Harnack's inequality |
| url | http://ejde.math.txstate.edu/Volumes/2017/79/abstr.html |
| work_keys_str_mv | AT yuriyaalkhutov harnacksinequalityforplaplacianequationswithmuckenhouptweightdegeneratinginpartofthedomain AT sarvanthuseynov harnacksinequalityforplaplacianequationswithmuckenhouptweightdegeneratinginpartofthedomain |