A weighted anisotropic variant of the Caffarelli–Kohn–Nirenberg inequality and applications. (8th March 2018)
- Record Type:
- Journal Article
- Title:
- A weighted anisotropic variant of the Caffarelli–Kohn–Nirenberg inequality and applications. (8th March 2018)
- Main Title:
- A weighted anisotropic variant of the Caffarelli–Kohn–Nirenberg inequality and applications
- Authors:
- Bahrouni, Anouar
Rădulescu, Vicenţiu D
Repovš, Dušan D - Abstract:
- Abstract: We present a weighted version of the Caffarelli–Kohn–Nirenberg inequality in the framework of variable exponents. The combination of this inequality with a variant of the fountain theorem, yields the existence of infinitely many solutions for a class of non-homogeneous problems with Dirichlet boundary condition.
- Is Part Of:
- Nonlinearity. Volume 31:Number 4(2018:Apr.)
- Journal:
- Nonlinearity
- Issue:
- Volume 31:Number 4(2018:Apr.)
- Issue Display:
- Volume 31, Issue 4 (2018)
- Year:
- 2018
- Volume:
- 31
- Issue:
- 4
- Issue Sort Value:
- 2018-0031-0004-0000
- Page Start:
- 1516
- Page End:
- 1534
- Publication Date:
- 2018-03-08
- Subjects:
- p(x)-Laplace operator -- Caffarelli–Kohn–Nirenberg inequality -- multiple solutions -- fountain theorem
Primary: 35J60 -- Secondary: 35J91 -- 58E30
Nonlinear theories -- Periodicals
Mathematical analysis -- Periodicals
Mathematical analysis
Nonlinear theories
Periodicals
515 - Journal URLs:
- http://www.iop.org/Journals/no ↗
http://iopscience.iop.org/0951-7715/ ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1361-6544/aaa5dd ↗
- Languages:
- English
- ISSNs:
- 0951-7715
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 11235.xml