Entire subsolutions of fully nonlinear degenerate elliptic equations (Q2875930)

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scientific article; zbMATH DE number 6329430
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Entire subsolutions of fully nonlinear degenerate elliptic equations
scientific article; zbMATH DE number 6329430

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    12 August 2014
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    fully nonlinear
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    degenerate ellipticity
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    entire viscosity solutions
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    Keller-Ossermann condition
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    math.AP
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    Entire subsolutions of fully nonlinear degenerate elliptic equations (English)
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    The authors prove existence and non existence results for fully nonlinear degenerate elliptic inequalities \(F(D^2u)\geq f(u)\) in \(\mathbb R^n\) by showing that the classical Keller-Osserman condition on the zero order term is a necessary and sufficient condition for the existence of entire subsolutions.
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