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Positive radial solutions of fully nonlinear elliptic equations in \(\mathbb{R}^ n\) - MaRDI portal

Positive radial solutions of fully nonlinear elliptic equations in \(\mathbb{R}^ n\) (Q1904982)

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scientific article; zbMATH DE number 834188
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Positive radial solutions of fully nonlinear elliptic equations in \(\mathbb{R}^ n\)
scientific article; zbMATH DE number 834188

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    Positive radial solutions of fully nonlinear elliptic equations in \(\mathbb{R}^ n\) (English)
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    15 January 1996
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    The authors are concerned with the radial solutions for the nonlinear elliptic equation \[ F(x, u, Du, D^2 u)= f(|x|, u, |Du|)+ g(|x|, u, |Du|). \] By means of the Schauder-Tychonoff fixed point theorem the existence of the radial bounded and unbounded positive solutions and their asymptotic behaviour near infinity as well as nonexistence questions are investigated.
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    fixed point theorem
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    bounded and unbounded positive solutions
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    nonexistence
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