## International Journal of Differential Equations

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

#### 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.

#### Article information

Source
Int. J. Differ. Equ. Volume 2011 (2011), Article ID 453727, 18 pages.

Dates
Accepted: 8 September 2011
First available in Project Euclid: 25 January 2017

https://projecteuclid.org/euclid.ijde/1485313258

Digital Object Identifier
doi:10.1155/2011/453727

Mathematical Reviews number (MathSciNet)
MR2854945

Zentralblatt MATH identifier
1237.35041

#### Citation

Galise, G.; Vitolo, A. Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity. Int. J. Differ. Equ. 2011 (2011), Article ID 453727, 18 pages. doi:10.1155/2011/453727. https://projecteuclid.org/euclid.ijde/1485313258

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