Estimates for the Green function and singular solutions for polyharmonic nonlinear equation. (30th June 2003)
- Record Type:
- Journal Article
- Title:
- Estimates for the Green function and singular solutions for polyharmonic nonlinear equation. (30th June 2003)
- Main Title:
- Estimates for the Green function and singular solutions for polyharmonic nonlinear equation
- Authors:
- Bachar, Imed
Màagli, Habib
Masmoudi, Syrine
Zribi, Malek - Abstract:
- Abstract : We establish a new form of the3 G theorem for polyharmonic Green function on the unit ball ofℝ n ( n ≥ 2 ) corresponding to zero Dirichlet boundary conditions. This enables us to introduce a new class of functionsK m, n containing properly the classical Kato classK n . We exploit properties of functions belonging toK m, n to prove an infinite existence result of singular positive solutions for nonlinear elliptic equation of order2 m .
- Is Part Of:
- Abstract and applied analysis. Volume 2003:Number 12(2003)
- Journal:
- Abstract and applied analysis
- Issue:
- Volume 2003:Number 12(2003)
- Issue Display:
- Volume 2003, Issue 12 (2003)
- Year:
- 2003
- Volume:
- 2003
- Issue:
- 12
- Issue Sort Value:
- 2003-2003-0012-0000
- Page Start:
- 715
- Page End:
- 741
- Publication Date:
- 2003-06-30
- Subjects:
- Mathematical analysis -- Periodicals
Mathematical analysis
Applied Mathematics
Mathematical Analysis
Periodicals
515.05 - Journal URLs:
- http://www.hindawi.com/journals/aaa ↗
http://ProjectEuclid.org/aaa ↗ - DOI:
- 10.1155/S1085337503209039 ↗
- Languages:
- English
- ISSNs:
- 1085-3375
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10435.xml