Fast diffusion equations on riemannian manifolds
dc.contributor.author | Bakim, Sumeyye | |
dc.contributor.author | Goldstein, Gisele Ruiz | |
dc.contributor.author | Goldstein, Jerome A. | |
dc.contributor.author | Kombe, Ismail | |
dc.date.accessioned | 2021-01-25T21:47:58Z | |
dc.date.available | 2021-01-25T21:47:58Z | |
dc.date.issued | 2020 | |
dc.department | İstanbul Ticaret Üniversitesi | en_US |
dc.description | kombe, ismail/0000-0002-7217-1023 | en_US |
dc.description | WOS:000572161900004 | en_US |
dc.description.abstract | In the present paper, we first study the nonexistence of positive solutions of the following nonlinear parabolic problem {partial derivative u/partial derivative t = Delta g(u(m)) + V(x)u(m) + lambda u(q) in Omega x (0, T), u(x, 0) = u(0)(x) >= 0 in Omega, u(x, t) = 0 on partial derivative Omega x (0, T). Here, Omega is a bounded domain with smooth boundary in a complete non-compact Riemannian manifold M, 0 < m < 1, V is an element of L-loc(1)(Omega), q > 0 and A E R. Next, we prove some Hardy and Leray type inequalities with remainders on a Riemannian Manifold M. Furthermore, we obtain explicit (sometimes optimal) constants for these inequalities and present several nonexistence results with help of Hardy and Leray type inequalities on the hyperbolic space H-n. | en_US |
dc.identifier.endpage | 526 | en_US |
dc.identifier.issn | 0893-4983 | |
dc.identifier.issue | 09.Oct | en_US |
dc.identifier.scopus | 2-s2.0-85091502113 | en_US |
dc.identifier.scopusquality | Q2 | en_US |
dc.identifier.startpage | 507 | en_US |
dc.identifier.uri | https://hdl.handle.net/11467/4469 | |
dc.identifier.volume | 33 | en_US |
dc.identifier.wos | WOS:000572161900004 | en_US |
dc.identifier.wosquality | Q2 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | KHAYYAM PUBL CO INC | en_US |
dc.relation.ispartof | DIFFERENTIAL AND INTEGRAL EQUATIONS | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.title | Fast diffusion equations on riemannian manifolds | en_US |
dc.type | Article | en_US |