Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms
We study the existence of entire positive solutions for the semilinear elliptic system with quadratic gradient terms, for on and . We establish the conditions on that ensure the existence of nonnegative radial solutions blowing up at infinity and also the conditions for bounded solutions on the enti...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Hindawi Publishing Corporation
2012
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| Online Access: | http://www.hindawi.com/journals/aaa/2012/697565/ http://hdl.handle.net/20.500.11937/7919 |
| _version_ | 1848745507788161024 |
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| author | Yang, Y. Zhang, Xinguang |
| author_facet | Yang, Y. Zhang, Xinguang |
| author_sort | Yang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We study the existence of entire positive solutions for the semilinear elliptic system with quadratic gradient terms, for on and . We establish the conditions on that ensure the existence of nonnegative radial solutions blowing up at infinity and also the conditions for bounded solutions on the entire space. The condition on is simple and different to the Keller-Osserman condition. |
| first_indexed | 2025-11-14T06:18:28Z |
| format | Journal Article |
| id | curtin-20.500.11937-7919 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:18:28Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-79192018-12-14T00:46:56Z Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms Yang, Y. Zhang, Xinguang We study the existence of entire positive solutions for the semilinear elliptic system with quadratic gradient terms, for on and . We establish the conditions on that ensure the existence of nonnegative radial solutions blowing up at infinity and also the conditions for bounded solutions on the entire space. The condition on is simple and different to the Keller-Osserman condition. 2012 Journal Article http://hdl.handle.net/20.500.11937/7919 http://www.hindawi.com/journals/aaa/2012/697565/ Hindawi Publishing Corporation restricted |
| spellingShingle | Yang, Y. Zhang, Xinguang Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms |
| title | Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms |
| title_full | Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms |
| title_fullStr | Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms |
| title_full_unstemmed | Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms |
| title_short | Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms |
| title_sort | entire blow-up solutions of semilinear elliptic systems with quadratic gradient terms |
| url | http://www.hindawi.com/journals/aaa/2012/697565/ http://hdl.handle.net/20.500.11937/7919 |