Existence and uniqueness results for large solutions of general nonlinear elliptic equations

Moshe Marcus and Laurent Véron
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Moshe Marcus: Israel Institute of Technology Technion, Department of Mathematics
Laurent Véron: Université François Rabelais, Laboratoire de Mathématiques et Physique Théorique CNRS UMR 6083

A chapter in Nonlinear Evolution Equations and Related Topics, 2004, pp 637-652 from Springer

Abstract: Abstract We study under what condition there exists a solution of —Δu +f (u) =0 in a domain Ω which blows-up on the boundary, independently of the regularity of the boundary, and we provide criteria for uniqueness. We apply our results to the case f(u) = e au .

Keywords: 35J60; Elliptic equations; Keller-Osserman a priori estimate; maximal solutions; super and sub solutions (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_33

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DOI: 10.1007/978-3-0348-7924-8_33

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