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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/697565 |
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| _version_ | 1832558752508674048 |
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| author | Yongju Yang Xinguang Zhang |
| author_facet | Yongju Yang Xinguang Zhang |
| author_sort | Yongju Yang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-c03b37ab2c9845a0aa6347f55340e8a1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c03b37ab2c9845a0aa6347f55340e8a12025-02-03T01:31:41ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/697565697565Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient TermsYongju Yang0Xinguang Zhang1School of Mathematics and Statistics, Nanyang Normal University, Henan, Nanyang 473061, ChinaSchool of Mathematical and Informational Sciences, Yantai University, Shandong, Yantai 264005, ChinaWe 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.http://dx.doi.org/10.1155/2012/697565 |
| spellingShingle | Yongju Yang Xinguang Zhang Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2012/697565 |
| work_keys_str_mv | AT yongjuyang entireblowupsolutionsofsemilinearellipticsystemswithquadraticgradientterms AT xinguangzhang entireblowupsolutionsofsemilinearellipticsystemswithquadraticgradientterms |