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系统科学与数学 2008
The Existence of Solutions for $p$\,-Laplace Equations
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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.