On Positive Radial Solutions for a Class of Elliptic Equations
A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term fs,u need not to be separated. Several new theorems on the existence and multiplicity of positiv...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/507312 |
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| _version_ | 1832557119714361344 |
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| author | Ying Wu Guodong Han |
| author_facet | Ying Wu Guodong Han |
| author_sort | Ying Wu |
| collection | DOAJ |
| description | A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term fs,u need not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. Our conclusions are essential improvements of the results in Lan and Webb (1998), Lee (1997), Mao and Xue (2002), Stańczy (2000), and Han and Wang (2006). |
| format | Article |
| id | doaj-art-a651bb7bd3b44638b0c33b34c8daca07 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-a651bb7bd3b44638b0c33b34c8daca072025-02-03T05:43:37ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/507312507312On Positive Radial Solutions for a Class of Elliptic EquationsYing Wu0Guodong Han1College of Science, Xi’an University of Science and Technology, Xi’an, Shaanxi 710054, ChinaCollege of Mathematics and Information Science, Shaanxi Normal University, Xi’an, Shaanxi 710062, ChinaA class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term fs,u need not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. Our conclusions are essential improvements of the results in Lan and Webb (1998), Lee (1997), Mao and Xue (2002), Stańczy (2000), and Han and Wang (2006).http://dx.doi.org/10.1155/2014/507312 |
| spellingShingle | Ying Wu Guodong Han On Positive Radial Solutions for a Class of Elliptic Equations The Scientific World Journal |
| title | On Positive Radial Solutions for a Class of Elliptic Equations |
| title_full | On Positive Radial Solutions for a Class of Elliptic Equations |
| title_fullStr | On Positive Radial Solutions for a Class of Elliptic Equations |
| title_full_unstemmed | On Positive Radial Solutions for a Class of Elliptic Equations |
| title_short | On Positive Radial Solutions for a Class of Elliptic Equations |
| title_sort | on positive radial solutions for a class of elliptic equations |
| url | http://dx.doi.org/10.1155/2014/507312 |
| work_keys_str_mv | AT yingwu onpositiveradialsolutionsforaclassofellipticequations AT guodonghan onpositiveradialsolutionsforaclassofellipticequations |