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一维p-Laplacian方程多解的存在性

Keywords: p-Laplacian算子,奇异,Leggett-Milliams定理,

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Abstract:

利用Leggett-Milliams定理,建立了一类一维奇异p-Laplacian非线性边值问题((u″))″+a(t)f(u)=0,u(0)=u(1)=u″(0)=u″(1)=0三解的存在性定理,其中(s)=|s|p-2s,p>1,推广并丰富了以往文献的一些结论.

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