Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations
In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball. Under some suitable local growth conditions for nonlinearity, several new results are obtained by using the fixed point theorem.
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
2018
|
| Online Access: | https://www.mii.lt/NA/ http://hdl.handle.net/20.500.11937/69450 |
| _version_ | 1848762044138913792 |
|---|---|
| author | He, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong |
| author_facet | He, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong |
| author_sort | He, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball. Under some suitable local growth conditions for nonlinearity, several new results are obtained by using the fixed point theorem. |
| first_indexed | 2025-11-14T10:41:18Z |
| format | Journal Article |
| id | curtin-20.500.11937-69450 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:41:18Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-694502018-12-12T04:24:12Z Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations He, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball. Under some suitable local growth conditions for nonlinearity, several new results are obtained by using the fixed point theorem. 2018 Journal Article http://hdl.handle.net/20.500.11937/69450 10.15388/NA.2018.4.2 https://www.mii.lt/NA/ restricted |
| spellingShingle | He, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations |
| title | Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations |
| title_full | Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations |
| title_fullStr | Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations |
| title_full_unstemmed | Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations |
| title_short | Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations |
| title_sort | existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-hessian equations |
| url | https://www.mii.lt/NA/ http://hdl.handle.net/20.500.11937/69450 |