Multiple Positive Solutions to a Nonlinear Two-point Boundary Value Problem with p-Laplacian
Received:April 30, 2004  
Key Words: boundary value problem   $p$-Laplacian operator   positive solution   the three functionals fixed point theorem.  
Fund Project:the National Natural Science Foundation of China (10371006)
Author NameAffiliation
LI Zhi-yan Dept. of Math. \& Phys., Hohai University, Changzhou 213022, China 
YAN Shu-lin Changzhou Engineering Vocational \& Technical College, Jiangsu 213004, China 
GE Wei-gao Dept. of Appl. Math., Beijing Institute of Technology, Beijing 100081, China 
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Abstract:
      By a simple application of a new three functionals fixed point theorem, sufficient conditions are obtained to guarantee the existence of at least three positive solutions for $p$-Laplacian equation: $(\phi_{p}(u'))'+a(t)f(t,u(t))=0 $ subject to nonlinear boundary value conditions. An example is presented to illustrate the theory.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.03.008
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