Existence of three positive pseudo-symmetric solutions for a one dimensional p-Laplacian |
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| Authors: | Richard Avery |
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| Institution: | a College of Natural Sciences, Dakota State University, Madison, SD 57042, USA
b Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA |
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| Abstract: | We apply the Five Functionals Fixed Point Theorem to verify the existence of at least three positive pseudo-symmetric solutions for the three point boundary value problem, (g(u′))′+a(t)f(u)=0, u(0)=0, and u(ν)=u(1), where g(v)=|v|p−2v, with p>1 and ν∈(0,1). |
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