Best constant in weighted sobolev inequality with weights being powers of distance from the origin. Issue 3 (1997)
- Record Type:
- Journal Article
- Title:
- Best constant in weighted sobolev inequality with weights being powers of distance from the origin. Issue 3 (1997)
- Main Title:
- Best constant in weighted sobolev inequality with weights being powers of distance from the origin
- Authors:
- Horiuchi, Toshio
- Abstract:
- Abstract : We study the best constant in Sobolev inequality with weights being powers of distance from the origin inℝ n . In this variational problem, the invariance ofℝ n by the group of dilatations creates some possible loss of compactness. As a result we will see that the existence of extremals and the value of best constant essentially depends upon the relation among parameters in the inequality.
- Is Part Of:
- Journal of inequalities and applications. Volume 1:Issue 3(1997)
- Journal:
- Journal of inequalities and applications
- Issue:
- Volume 1:Issue 3(1997)
- Issue Display:
- Volume 1, Issue 3 (1997)
- Year:
- 1997
- Volume:
- 1
- Issue:
- 3
- Issue Sort Value:
- 1997-0001-0003-0000
- Page Start:
- 275
- Page End:
- 292
- Publication Date:
- 1997
- Subjects:
- Weighted Sobolev inequality; concentration compactness
Inequalities (Mathematics) -- Periodicals
512.97 - Journal URLs:
- http://www.hindawi.com/journals/jia/ ↗
http://www.hindawi.com/journals/jia/contents.html ↗
http://www.springer.com/gb/ ↗
http://firstsearch.oclc.org ↗ - DOI:
- 10.1155/S1025583497000180 ↗
- Languages:
- English
- ISSNs:
- 1029-242X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5006.688000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 10722.xml