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Positive solutions for second-order nonlinear differential equations. (English) Zbl 1101.34022
Summary: We prove the existence of positive solutions to the scalar equation $$y^{\prime\prime}(x)+F(x,y,y^{\prime})$$ $$=0$$. Applications to semilinear elliptic equations in exterior domains are considered.

##### MSC:
 34C11 Growth and boundedness of solutions to ordinary differential equations 35J60 Nonlinear elliptic equations
##### Keywords:
positive solution; nonlinear differential equation
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##### References:
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