Open AccessExistence of Positive Solutions of One-Dimensional Prescribed Mean Curvature Equation
Author(s) -
Ruyun Ma,
Lingfang Jiang
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/610926
Subject(s) - algorithm , materials science , computer science
We consider the existence of positive solutions of one-dimensional prescribed mean curvature equation −(u′/1+u′2)′=λf(u), 00, 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
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