HARDY-SOBOLEV INEQUALITY IN H1(Ω) AND ITS APPLICATIONS-Reference-Cited by-同舟云学术

HARDY-SOBOLEV INEQUALITY IN H1(Ω) AND ITS APPLICATIONS

Published:2002-08 Issue:03 Volume:04 Page:409-434
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

ADIMURTHI ¹

Affiliation:

1. TIFR Centre, IISc Campus, P. B. No. 1234, Bangalore-560 012, India

Abstract

In this article, we have determined the remainder term for Hardy–Sobolev inequality in H1(Ω) for Ω a bounded smooth domain and studied the existence, non existence and blow up of first eigen value and eigen function for the corresponding Hardy–Sobolev operator with Neumann boundary condition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199702000713

Reference8 articles.

1. Extremal Functions for Hardy's Inequality with Weight

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