Asymptotics for the best Sobolev constants and their extremal functions

Author:

Ercole G.1,Pereira G. A.1

Affiliation:

1. Departamento de Matemática; Universidade Federal de Minas Gerais; Belo Horizonte MG, 30.123-970 Brazil

Funder

Fundação de Amparo à Pesquisa do Estado de Goiás

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Wiley

Subject

General Mathematics

Reference22 articles.

1. Extension of functions satisfying Lipschitz conditions;Aronsson;Ark. Mat.,1967

2. Problèmes isopérimétriques et espaces de Sobolev;Aubin;J. Differential Geom.,1976

3. Existence and comparison results for fully nonlinear degenerate elliptic equations without zeroth-order term;Barles;Comm. Partial Differential Equations,2001

4. T. Bhatthacharya E. Dibenedetto J. Manfredi Limits as p → ∞ of Δ p u p = f and related extremal problems, Rendiconti del Sem. Mat. Fascicolo Speciale Non Linear PDE's, Univ. Torino 1989 15 68

5. Minimal rearrangements of Sobolev functions;Brothers;J. Reine Angew. Math.,1988

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