Existence of continuous and singular ground states for semilinear elliptic systems
We study existence results of a curve of continuous and singular ground states for the system $$ eqaling{ -Delta{u} &= {alpha(|x|)}f(v) cr -Delta{v} &= Beta(|x|) g(u),. cr }$$ where $x in R^N setminus {0}$, the functions $f$ and $g$ are increasing Lipschitz continuous functions in $R...
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| Format: | Article |
| Language: | English |
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Texas State University
1998-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/01/abstr.html |
| _version_ | 1830212247851368448 |
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| author | Cecilia S. Yarur |
| author_facet | Cecilia S. Yarur |
| author_sort | Cecilia S. Yarur |
| collection | DOAJ |
| description | We study existence results of a curve of continuous and singular ground states for the system $$ eqaling{ -Delta{u} &= {alpha(|x|)}f(v) cr -Delta{v} &= Beta(|x|) g(u),. cr }$$ where $x in R^N setminus {0}$, the functions $f$ and $g$ are increasing Lipschitz continuous functions in $R$, and $alpha$ and $Beta$ are nonnegative continuous functions in $R^+$. We also study general systems of the form $$ eqaling{ Delta u(x)+V(|x|)u+a(|x|)v^p &= 0 cr Delta v(x)+V(|x|)v+b(|x|)u^q &= 0,.cr} $$ |
| first_indexed | 2024-12-18T05:58:56Z |
| format | Article |
| id | doaj.art-a1b3381c41e84d74ae0c3951f4b22909 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-18T05:58:56Z |
| publishDate | 1998-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a1b3381c41e84d74ae0c3951f4b229092022-12-21T21:18:44ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911998-01-01199801127Existence of continuous and singular ground states for semilinear elliptic systemsCecilia S. YarurWe study existence results of a curve of continuous and singular ground states for the system $$ eqaling{ -Delta{u} &= {alpha(|x|)}f(v) cr -Delta{v} &= Beta(|x|) g(u),. cr }$$ where $x in R^N setminus {0}$, the functions $f$ and $g$ are increasing Lipschitz continuous functions in $R$, and $alpha$ and $Beta$ are nonnegative continuous functions in $R^+$. We also study general systems of the form $$ eqaling{ Delta u(x)+V(|x|)u+a(|x|)v^p &= 0 cr Delta v(x)+V(|x|)v+b(|x|)u^q &= 0,.cr} $$http://ejde.math.txstate.edu/Volumes/1998/01/abstr.htmlSemilinear elliptic systemsground states. |
| spellingShingle | Cecilia S. Yarur Existence of continuous and singular ground states for semilinear elliptic systems Electronic Journal of Differential Equations Semilinear elliptic systems ground states. |
| title | Existence of continuous and singular ground states for semilinear elliptic systems |
| title_full | Existence of continuous and singular ground states for semilinear elliptic systems |
| title_fullStr | Existence of continuous and singular ground states for semilinear elliptic systems |
| title_full_unstemmed | Existence of continuous and singular ground states for semilinear elliptic systems |
| title_short | Existence of continuous and singular ground states for semilinear elliptic systems |
| title_sort | existence of continuous and singular ground states for semilinear elliptic systems |
| topic | Semilinear elliptic systems ground states. |
| url | http://ejde.math.txstate.edu/Volumes/1998/01/abstr.html |
| work_keys_str_mv | AT ceciliasyarur existenceofcontinuousandsingulargroundstatesforsemilinearellipticsystems |