Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Bolys Sabitbek"'
Autor:
Durvudkhan Suragan, Bolys Sabitbek
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 113, Iss 1 (2024)
Nazarbayev University in Astana, Kazakhstan, will host the 15th International ISAAC Congress from July 21–25, 2025. The International Society for Analysis, its Applications, and Computation (ISAAC) Congress is a prestigious event that continues a s
Externí odkaz:
https://doaj.org/article/0dad03196ffb4ab08a22a6dadcbf0b5f
Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 3, Pp 2050016-1-2050016-17 (2020)
In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫
Externí odkaz:
https://doaj.org/article/4e4734073aa54f79ab522663132c79a7
Publikováno v:
MANUSCRIPTA MATHEMATICA
In this paper, we prove a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium equation and the nonlinear pseudo-parabolic equation on the stratified Lie groups. Our proof is base
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ab33e2d20c698e928198e18f34affe3
https://biblio.ugent.be/publication/01H1BSN6HBAJ0XEFF5S8EMB326/file/01H2AWM073FRPR51EW58XH9HQE
https://biblio.ugent.be/publication/01H1BSN6HBAJ0XEFF5S8EMB326/file/01H2AWM073FRPR51EW58XH9HQE
Autor:
Gulaiym Oralsyn, Bolys Sabitbek
Publikováno v:
Complex Analysis and Operator Theory. 16
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b796c980e0091c86d876a7aa7a3e483c
https://doi.org/10.1007/s11785-022-01235-6
https://doi.org/10.1007/s11785-022-01235-6
Publikováno v:
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
In this paper, we prove the uniqueness and simplicity of the principal frequency (or the first eigenvalue) of the Dirichlet p-sub-Laplacian for general vector fields. As a byproduct, we establish the Caccioppoli inequalities and also discuss the part
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83471333c81716fce602a18e3bd54d07
https://doi.org/10.4171/zaa/1674
https://doi.org/10.4171/zaa/1674
Publikováno v:
ANNALS OF FUNCTIONAL ANALYSIS
In this paper we present $L^2$ and $L^p$ versions of the geometric Hardy inequalities in half-spaces and convex domains on stratified (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give examples of the obtained res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fdd8dfd3a747638f8a0f119b8ebf408
https://doi.org/10.1007/s43034-020-00067-9
https://doi.org/10.1007/s43034-020-00067-9
Publikováno v:
BANACH JOURNAL OF MATHEMATICAL ANALYSIS
In this paper we establish the subelliptic Picone type identities. As consequences, we obtain Hardy and Rellich type inequalities for anisotropic p-sub-Laplacians which are operators of the form $$\begin{aligned} {\mathcal {L}}_{p}f:= \sum _{i=1}^{N}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::766ee89adc2108c0f6f30d168a84a0ce
https://doi.org/10.1007/s43037-019-00011-7
https://doi.org/10.1007/s43037-019-00011-7
Publikováno v:
Revista Matemática Complutense. 32:19-35
In this paper, generalised weighted $$L^p$$ -Hardy, $$L^p$$ -Caffarelli–Kohn–Nirenberg, and $$L^p$$ -Rellich inequalities with boundary terms are obtained on stratified Lie groups. As consequences, most of the Hardy type inequalities and Heisenbe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::823bdfecfa300492469c3d3cf0189eb5
https://doi.org/10.1007/s13163-018-0268-3
https://doi.org/10.1007/s13163-018-0268-3