Pregled bibliografske jedinice broj: 156536
Asymptotic behaviour of sharp Sobolev constants in thin domains
Asymptotic behaviour of sharp Sobolev constants in thin domains // Journal of mathematical analysis and applications, 272 (2002), 575-581 (međunarodna recenzija, članak, znanstveni)
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Naslov
Asymptotic behaviour of sharp Sobolev constants in thin domains
Autori
Marušić, Sanja
Izvornik
Journal of mathematical analysis and applications (0022-247X) 272
(2002);
575-581
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Sobolev inequality; Variational characterization; Two-scale convergence; Thin domains
Sažetak
In this paper we study the asymptotic behaviour of the constants in Sobolev inequalities in thin domains with respect to the thickness of the domain \eps. We prove that the sharp Sobolev constants in thin domains converge to the sharp Sobolev constant on the lower-dimensional domain, as \eps tends to zero.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
