An application of the Lyapunov-Schmidt method to semilinear elliptic problems

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dc.contributor.authorNgo, Quoc Anh
dc.date.accessioned2021-07-13T15:46:07Z
dc.date.available2021-07-13T15:46:07Z
dc.date.issued2005-11-23
dc.description.abstractIn this paper we consider the existence of nonzero solutions for the undecoupling elliptic system -Δu = λu + δv + ƒ(u, v), -Δv = θu + γv + g(u, v), on a bounded domain of ℝn, with zero Dirichlet boundary conditions. We use the Lyapunov-Schmidt method and the fixed-point principle.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationNgo, Q. A. (2005). An application of the Lyapunov-Schmidt method to semilinear elliptic problems. <i>Electronic Journal of Differential Equations, 2005</i>(129), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13854
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectSemilinear
dc.subjectElliptic system
dc.subjectLyapunov
dc.subjectSchmidt
dc.subjectFixed-point principle
dc.titleAn application of the Lyapunov-Schmidt method to semilinear elliptic problems
dc.typeArticle

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