Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity. (19th September 2011)

• Record Type: Journal Article
• Authors: Galise, G.; Vitolo, A.
• Other Names: Rossi Julio Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2011(2011)
• Publication Date: 2011-09-19
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2011/453727
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim to generalize previous existence and uniqueness results of viscosity solutions in the whole space without conditions at infinity. We also consider the solvability of the Dirichlet problem in bounded and unbounded domains and show a blow-up result.