The range of the <i>p</i>-Laplacian期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The range of the p-Laplacian

Authors:	PA Binding P Drábek YX Huang

Institution:	Department of Mathematics & Statistics University of Calgary, Calgary, Alberta, Canada, T2N 1N4 Department of Mathematics University of West Bohemia P.O. Box 314, 30614, Pilsen, Czech Republic Department of Mathematical Sciences University of Memphis, Memphis, TN 38152, U.S.A.

Abstract:	We prove that for λ ≥ 0, p ≥ 3, there exists an open ball B L²(0,1) such that the problem ? (\|u′\|^p?2 u′)′ ? λ\|u\|^p?2u = f, in (0,1) , subject to certain separated boundary conditions on (0,1), has a solution for f B.

Keywords:	The p-Laplacian Fredholm alternative Range
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