Twin Positive Solutions for the One-dimensional P-Laplacian Boundary Value Problems
In this paper we study the existence of multiple positive solutions for the equation (g(uâ€²))â€²+e(t)f(u)=0, where g(v)â‰”|v|pâˆ'2v,p>1, subject to nonlinear boundary conditions. We show the existence of at least two positive solutions by using a new three functionals fixed point theorem in cones.
X. He and W. Ge, "Twin Positive Solutions for the One-dimensional P-Laplacian Boundary Value Problems," Nonlinear Analysis: Theory, Methods and Applications, Elsevier, Jan 2004.
The definitive version is available at http://dx.doi.org/10.1016/j.na.2003.07.022
Mathematics and Statistics
Keywords and Phrases
One-dimensional p-Laplacian; Positive solutions; Concavity; fixed point theorem in cones
Article - Journal
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