Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

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dc.contributor.authorJin, Zhiren
dc.date.accessioned2021-06-22T15:27:31Z
dc.date.available2021-06-22T15:27:31Z
dc.date.issued2005-10-10
dc.description.abstractWhen an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation. The result obtained can be applied to equations with coefficients of the nonlinear term growing exponentially. The proof is based on the super and sub-solution method. A super solution itself is constructed by solving a quasilinear elliptic equation via a modified Perron's method.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJin, Z. (2005). Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains. <i>Electronic Journal of Differential Equations, 2005</i>(109), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13781
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.subjectElliptic boundary-value problems
dc.subjectPositive solutions
dc.subjectSemilinear equations
dc.subjectUnbounded domains
dc.subjectPerron's method
dc.subjectSuper solutions
dc.titleDirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains
dc.typeArticle

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