Dead Core Problems for Singular Equations with Æ-Laplacian
The paper discusses the existence of positive solutions, dead core solutions, and pseudo dead core solutions of the singular problem (Æ(u′))′+f(t,u′)=λg(t,u,u′), u′(0)=0, βu′(T)+αu(T)=A. Here λ is a positive parameter, β≥0, α, A>0, f may be...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-12-01
|
| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2007/18961 |
| _version_ | 1818837889121779712 |
|---|---|
| author | Svatoslav Staněk Donal O'Regan Ravi P. Agarwal |
| author_facet | Svatoslav Staněk Donal O'Regan Ravi P. Agarwal |
| author_sort | Svatoslav Staněk |
| collection | DOAJ |
| description | The paper discusses the existence of positive solutions, dead core solutions, and pseudo dead core solutions of the singular problem (Æ(u′))′+f(t,u′)=λg(t,u,u′), u′(0)=0, βu′(T)+αu(T)=A. Here λ is a positive parameter, β≥0, α, A>0, f may be singular at t=0 and g is singular at u=0. |
| first_indexed | 2024-12-19T03:29:40Z |
| format | Article |
| id | doaj.art-be98ccb250714192b893ba39d6d4a0fe |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-19T03:29:40Z |
| publishDate | 2007-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-be98ccb250714192b893ba39d6d4a0fe2022-12-21T20:37:33ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-12-01200710.1155/2007/18961Dead Core Problems for Singular Equations with Æ-LaplacianSvatoslav StaněkDonal O'ReganRavi P. AgarwalThe paper discusses the existence of positive solutions, dead core solutions, and pseudo dead core solutions of the singular problem (Æ(u′))′+f(t,u′)=λg(t,u,u′), u′(0)=0, βu′(T)+αu(T)=A. Here λ is a positive parameter, β≥0, α, A>0, f may be singular at t=0 and g is singular at u=0.http://dx.doi.org/10.1155/2007/18961 |
| spellingShingle | Svatoslav Staněk Donal O'Regan Ravi P. Agarwal Dead Core Problems for Singular Equations with Æ-Laplacian Boundary Value Problems |
| title | Dead Core Problems for Singular Equations with Æ-Laplacian |
| title_full | Dead Core Problems for Singular Equations with Æ-Laplacian |
| title_fullStr | Dead Core Problems for Singular Equations with Æ-Laplacian |
| title_full_unstemmed | Dead Core Problems for Singular Equations with Æ-Laplacian |
| title_short | Dead Core Problems for Singular Equations with Æ-Laplacian |
| title_sort | dead core problems for singular equations with aa† laplacian |
| url | http://dx.doi.org/10.1155/2007/18961 |
| work_keys_str_mv | AT svatoslavstan283k deadcoreproblemsforsingularequationswithaalaplacian AT donalo39regan deadcoreproblemsforsingularequationswithaalaplacian AT ravipagarwal deadcoreproblemsforsingularequationswithaalaplacian |