Existence of Positive Solutions of One-Dimensional Prescribed Mean Curvature Equation
We consider the existence of positive solutions of one-dimensional prescribed mean curvature equation −(u′/1+u′2)′=λf(u), 0<t<1, u(t)>0, t∈(0,1), u(0)=u(1)=0 where λ>0 is a parameter, and f:[0,∞)→[0,∞) is continuous. Further, when f satisfies max{up,uq}≤f(u)≤up+uq, 0<p≤q<+∞, we obt...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/610926 |