Hessian Equations with infinite Dirichlet boundary value

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dc.creatorJian, Huaiyu
dc.date2006-11-29
dc.date.accessioned2026-07-07T07:33:28Z
dc.date.available2026-07-07T07:33:28Z
dc.descriptionIn this paper, we study the Hessian equation with infinite Dirichlet (blow-up) boundary value conditions. Using radial functions and techniques of ordinary differential inequality, we construct various barrier functions (super-solution and sub-solution). Existence and non-existence theorems are proved by those barriers, maximum principle and theory of viscous solutions. Furthermore, generic boundary blow-up rates for the solutions are derived.
dc.description17pages
dc.identifierhttps://arxiv.org/abs/math/0611907
dc.identifierhttp://arxiv.org/abs/math/0611907
dc.identifierIndiana University Mathematics Journal Vol 55, No 3, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119471
dc.subjectAnalysis of PDEs
dc.titleHessian Equations with infinite Dirichlet boundary value
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