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

Giulio Galise | Zendy; Antonio Vitolo | Zendy

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

Author(s) -

Giulio Galise,

Antonio Vitolo

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/453727

Subject(s) - uniqueness , mathematics , infinity , bounded function , mathematical analysis , viscosity , dirichlet distribution , nonlinear system , space (punctuation) , order (exchange) , elliptic curve , dirichlet problem , boundary (topology) , boundary value problem , thermodynamics , physics , linguistics , philosophy , finance , quantum mechanics , economics

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

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