Viscosity Solutions of Nonlinear Systems of Degenerated Elliptic Equations of Second Order | Zendy

Liu Wei-an | Zendy; Hua Chen | Zendy

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Viscosity Solutions of Nonlinear Systems of Degenerated Elliptic Equations of Second Order

Author(s) -

Liu Wei-an,

Hua Chen

Publication year - 2000

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/991

Subject(s) - nonlinear system , order (exchange) , viscosity , mathematical analysis , quarter period , mathematics , elliptic curve , physics , thermodynamics , economics , finance , quantum mechanics

In this paper, we discuss the viscosity solutions of Dirichiet problem for weakly coupled systems of fully nonlinear second order degenerated elliptic equations. We prove the existence, uniqueness and continuity of solutions by Perron's method combined with the technique of coupled solutions. Our results generalize those in 9] for the case of general quasi-monotonic systems.

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