Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity

G. Galise and A. Vitolo

International Journal of Differential Equations, 2011, vol. 2011, 1-18

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:453727

DOI: 10.1155/2011/453727

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