拟线性二阶方程三点边值问题对称正解的存在性

Abstract

Abstract:

One dimension p-Laplace equation (p(u′(t)))′+q(t)f(t,u(t),u′(t))=0 with boundary value conditions u(t)=u(1-t), u′(0)-u′(1)=u(1/2) was studied. Under certain conditions the above problem has at least three symmetric positive solutions shown by virtue of the AveryPeterson fixedpoint theorem and at least 2n+1 symmetric positive solutions if the function f satisfies some additional conditions.

Key words: p-Laplace equation, symmetric positive solution, threepoint boundary value problem, AveryPeterson fixedpoint theorem

CLC Number:

O175

LI Yuan-Xiao, WEI Yang-Jie, Gao-Wen-Jie. Existence of Symmetric Positive Solutions to |Three-PointBoundary Value Problem of |Quasilinear Second Order Equation[J].J4, 2010, 48(1): 1-8.

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Existence of Symmetric Positive Solutions to |Three-PointBoundary Value Problem of |Quasilinear Second Order Equation

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