Matches in SemOpenAlex for { <https://semopenalex.org/work/W3215293566> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W3215293566 abstract "Caffarelli, Kohn and Nirenberg considered in 1984 the interpolation inequalities [||x|^{gamma_1}u|_{L^s(mathbb{R}^n)}le C||x|^{gamma_2}nabla u|_{L^p(mathbb{R}^n)}^a||x|^{gamma_3}u|_{L^q(mathbb{R}^n)}^{1-a} ] in dimension $nge 1$, and established necessary and sufficient conditions for which to hold under natural assumptions on the parameters. Motivated by our study of the asymptotic stability of solutions to the Navier-Stokes equations, we consider a more general and improved anisotropic version of the interpolation inequalities [ ||x|^{gamma_1}|x'|^{alpha}u|_{L^s(mathbb{R}^n)}le C||x|^{gamma_2}|x'|^{mu}nabla u|_{L^p(mathbb{R}^n)}^{a}||x|^{gamma_3}|x'|^{beta}u|_{L^q(mathbb{R}^n)}^{1-a} ] in dimensions $nge 2$, where $x=(x', x_n)$ and $x'=(x_1, ..., x_{n-1})$, and give necessary and sufficient conditions for which to hold under natural assumptions on the parameters. Moreover we extend the Caffarelli-Kohn-Nirenberg inequalities from $qge 1$ to $q>0$. This extension, together with a nonlinear Poincar'{e} inequality which we obtain in this paper, has played an important role in our proof of the above mentioned anisotropic interpolation inequalities." @default.
- W3215293566 created "2021-12-06" @default.
- W3215293566 creator A5003866201 @default.
- W3215293566 creator A5052047018 @default.
- W3215293566 date "2021-11-30" @default.
- W3215293566 modified "2023-10-17" @default.
- W3215293566 title "Anisotropic Caffarelli-Kohn-Nirenberg type inequalities" @default.
- W3215293566 cites W1600237172 @default.
- W3215293566 cites W1866311589 @default.
- W3215293566 cites W1994726900 @default.
- W3215293566 cites W1995659973 @default.
- W3215293566 cites W2021073558 @default.
- W3215293566 cites W2093102361 @default.
- W3215293566 cites W2546719620 @default.
- W3215293566 cites W2601540593 @default.
- W3215293566 cites W2620978636 @default.
- W3215293566 cites W2733881654 @default.
- W3215293566 cites W2761392948 @default.
- W3215293566 cites W2962825009 @default.
- W3215293566 cites W2962857095 @default.
- W3215293566 cites W2963112550 @default.
- W3215293566 cites W2963288762 @default.
- W3215293566 cites W3116449217 @default.
- W3215293566 doi "https://doi.org/10.48550/arxiv.2112.00217" @default.
- W3215293566 hasPublicationYear "2021" @default.
- W3215293566 type Work @default.
- W3215293566 sameAs 3215293566 @default.
- W3215293566 citedByCount "0" @default.
- W3215293566 crossrefType "posted-content" @default.
- W3215293566 hasAuthorship W3215293566A5003866201 @default.
- W3215293566 hasAuthorship W3215293566A5052047018 @default.
- W3215293566 hasBestOaLocation W32152935661 @default.
- W3215293566 hasConcept C104114177 @default.
- W3215293566 hasConcept C114614502 @default.
- W3215293566 hasConcept C121332964 @default.
- W3215293566 hasConcept C134306372 @default.
- W3215293566 hasConcept C137800194 @default.
- W3215293566 hasConcept C18903297 @default.
- W3215293566 hasConcept C199360897 @default.
- W3215293566 hasConcept C2777299769 @default.
- W3215293566 hasConcept C2778029271 @default.
- W3215293566 hasConcept C2779557605 @default.
- W3215293566 hasConcept C33676613 @default.
- W3215293566 hasConcept C33923547 @default.
- W3215293566 hasConcept C37914503 @default.
- W3215293566 hasConcept C41008148 @default.
- W3215293566 hasConcept C54207081 @default.
- W3215293566 hasConcept C62520636 @default.
- W3215293566 hasConcept C74650414 @default.
- W3215293566 hasConcept C85725439 @default.
- W3215293566 hasConcept C86803240 @default.
- W3215293566 hasConceptScore W3215293566C104114177 @default.
- W3215293566 hasConceptScore W3215293566C114614502 @default.
- W3215293566 hasConceptScore W3215293566C121332964 @default.
- W3215293566 hasConceptScore W3215293566C134306372 @default.
- W3215293566 hasConceptScore W3215293566C137800194 @default.
- W3215293566 hasConceptScore W3215293566C18903297 @default.
- W3215293566 hasConceptScore W3215293566C199360897 @default.
- W3215293566 hasConceptScore W3215293566C2777299769 @default.
- W3215293566 hasConceptScore W3215293566C2778029271 @default.
- W3215293566 hasConceptScore W3215293566C2779557605 @default.
- W3215293566 hasConceptScore W3215293566C33676613 @default.
- W3215293566 hasConceptScore W3215293566C33923547 @default.
- W3215293566 hasConceptScore W3215293566C37914503 @default.
- W3215293566 hasConceptScore W3215293566C41008148 @default.
- W3215293566 hasConceptScore W3215293566C54207081 @default.
- W3215293566 hasConceptScore W3215293566C62520636 @default.
- W3215293566 hasConceptScore W3215293566C74650414 @default.
- W3215293566 hasConceptScore W3215293566C85725439 @default.
- W3215293566 hasConceptScore W3215293566C86803240 @default.
- W3215293566 hasLocation W32152935661 @default.
- W3215293566 hasOpenAccess W3215293566 @default.
- W3215293566 hasPrimaryLocation W32152935661 @default.
- W3215293566 hasRelatedWork W1971922971 @default.
- W3215293566 hasRelatedWork W1974589459 @default.
- W3215293566 hasRelatedWork W1976332093 @default.
- W3215293566 hasRelatedWork W2004462611 @default.
- W3215293566 hasRelatedWork W2079338175 @default.
- W3215293566 hasRelatedWork W2225538548 @default.
- W3215293566 hasRelatedWork W2739203387 @default.
- W3215293566 hasRelatedWork W3006049546 @default.
- W3215293566 hasRelatedWork W3104816633 @default.
- W3215293566 hasRelatedWork W4289541824 @default.
- W3215293566 isParatext "false" @default.
- W3215293566 isRetracted "false" @default.
- W3215293566 magId "3215293566" @default.
- W3215293566 workType "article" @default.