Regularity results for the best-Sobolev-constant function
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605496498 | ||
| 003 | CHVBK | ||
| 005 | 20210128100536.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-014-0425-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0425-3 | ||
| 100 | 1 | |a Ercole |D Grey |u Departamento de Matemática - ICEx, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, Caixa Postal 702, 30161-970, Belo Horizonte, MG, Brazil |4 aut | |
| 245 | 1 | 0 | |a Regularity results for the best-Sobolev-constant function |h [Elektronische Daten] |c [Grey Ercole] |
| 520 | 3 |
|a We derive some new regularity results for the best-Sobolev-constant function defined by $$\begin{aligned} q\in [1,p^{\star }]\mapsto \lambda _{q}:=\inf \left\{ \left\| \nabla u\right\| _{p}^{p}\,/\,\left\| u\right\| _{q}^{p}:u\in W_{0}^{1,p} (\Omega )\setminus \{0\}\right\} , \end{aligned}$$ q ∈ [ 1 , p ⋆ ] ↦ λ q : = inf ∇ u p p / u q p : u ∈ W 0 1 , p ( Ω ) \ { 0 } , where $$\Omega $$ Ω is a bounded and smooth domain of $$\mathbb {R}^{N},\,1 |
|
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Best-Sobolev-constant function |2 nationallicence | |
| 690 | 7 | |a $$p$$ p -Laplacian |2 nationallicence | |
| 690 | 7 | |a Sobolev immersion |2 nationallicence | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1381-1392 |x 0373-3114 |q 194:5<1381 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0425-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0425-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Ercole |D Grey |u Departamento de Matemática - ICEx, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, Caixa Postal 702, 30161-970, Belo Horizonte, MG, Brazil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1381-1392 |x 0373-3114 |q 194:5<1381 |1 2015 |2 194 |o 10231 | ||