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 |
References:
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