An application of the Lyapunov-Schmidt method to semilinear elliptic problems
In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system $$displaylines{ -Delta u=lambda u+delta v+f(u,v), cr -Delta v=heta u+ gamma v+g(u,v), }$$ on a bounded domain of $mathbb{R}^n$, with zero Dirichlet boundary conditions. We use the Lyapunov-Schmid...
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| Language: | English |
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Texas State University
2005-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/129/abstr.html |
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doaj-92a6b7f5a31c485785d14dc66071465b2020-11-24T23:49:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-11-012005129111An application of the Lyapunov-Schmidt method to semilinear elliptic problemsQuoc Anh NgoIn this paper we consider the existence of nonzero solutions for the undecoupling elliptic system $$displaylines{ -Delta u=lambda u+delta v+f(u,v), cr -Delta v=heta u+ gamma v+g(u,v), }$$ on a bounded domain of $mathbb{R}^n$, with zero Dirichlet boundary conditions. We use the Lyapunov-Schmidt method and the fixed-point principle. http://ejde.math.txstate.edu/Volumes/2005/129/abstr.htmlSemilinearelliptic systemLyapunovSchmidtfixed-point principle. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Quoc Anh Ngo |
| spellingShingle |
Quoc Anh Ngo An application of the Lyapunov-Schmidt method to semilinear elliptic problems Electronic Journal of Differential Equations Semilinear elliptic system Lyapunov Schmidt fixed-point principle. |
| author_facet |
Quoc Anh Ngo |
| author_sort |
Quoc Anh Ngo |
| title |
An application of the Lyapunov-Schmidt method to semilinear elliptic problems |
| title_short |
An application of the Lyapunov-Schmidt method to semilinear elliptic problems |
| title_full |
An application of the Lyapunov-Schmidt method to semilinear elliptic problems |
| title_fullStr |
An application of the Lyapunov-Schmidt method to semilinear elliptic problems |
| title_full_unstemmed |
An application of the Lyapunov-Schmidt method to semilinear elliptic problems |
| title_sort |
application of the lyapunov-schmidt method to semilinear elliptic problems |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2005-11-01 |
| description |
In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system $$displaylines{ -Delta u=lambda u+delta v+f(u,v), cr -Delta v=heta u+ gamma v+g(u,v), }$$ on a bounded domain of $mathbb{R}^n$, with zero Dirichlet boundary conditions. We use the Lyapunov-Schmidt method and the fixed-point principle. |
| topic |
Semilinear elliptic system Lyapunov Schmidt fixed-point principle. |
| url |
http://ejde.math.txstate.edu/Volumes/2005/129/abstr.html |
| work_keys_str_mv |
AT quocanhngo anapplicationofthelyapunovschmidtmethodtosemilinearellipticproblems AT quocanhngo applicationofthelyapunovschmidtmethodtosemilinearellipticproblems |
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