Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
dc.contributor.author | Alkhutov, Yuriy A. | |
dc.contributor.author | Huseynov, Sarvan | |
dc.date.accessioned | 2022-04-06T20:08:56Z | |
dc.date.available | 2022-04-06T20:08:56Z | |
dc.date.issued | 2017-03-21 | |
dc.description.abstract | 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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 13 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Alkhutov, Y. A., & Huseynov, S. T. (2017). Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain. Electronic Journal of Differential Equations, 2017(79), pp. 1-13. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15611 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | p-Laplasian | |
dc.subject | Muckenhoupt weight | |
dc.subject | Harnack's inequality | |
dc.title | Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain | |
dc.type | Article |