On Some Properties of Extremals in a Variational Problem Generated by the Sobolev Embedding Theorem期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On Some Properties of Extremals in a Variational Problem Generated by the Sobolev Embedding Theorem

Authors:	A. I. Nazarov A. P. Scheglova

Affiliation:	(1) Dipartimento di Matematica dell’Universit? di Pavia, via Ferrata 1, 27100 Pavia, Italy;(2) Dipartimento di Matematica dell’Universit? di Genova, via Dodecaneso 35, 16146 Genova, Italy

Abstract:	Some properties of extremal functions in the inequality $mathop {{text{inf}}}limits_{u in W_p^1 (Omega ),u ne 0} frac{{\|\|u\|\|W_p^1 (Omega )}}{{\|\|u\|\|L_q (Omega )}} >0$ are studied. Bibliography: 10 titles.

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