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The Existence of Solutions for $p$\,-Laplace Equations
一类p-Laplace方程边值问题解的存在性

Keywords: p-Laplace equation,Neumann boundary value,degree theory
P-Laplace方程
,Neumann边值,度理论,方程,边值条件,题解,存在性,EQUATIONS,充分条件,度理论,使用,对应,Neumann,一维

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Abstract:

In this paper, the existence of solutions is considered for one dimensional $p$-Laplace equation $(\phi_p(u'(t)))'=f(t,u(t),u'(t)),t\in (0,1)$ subject to Neumannboundary condition. By using the degree theory, some sufficient conditions of the existence of solutions for p-Laplace equation subject to Neumann boundary condition are established.

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