The Fredholm alternative for the one-dimensional p-Laplacian

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:299

Article

Yang, XJ

关键词: one-dimensional p-Laplacian;    Fredholm alternative;    Leray-Schauder degree;    generalized polar coordinates;   

DOI  :  10.1016/j.jmaa.2004.03.077

来源: Elsevier

【 摘 要 】

In this paper we consider the solvability of the boundary value problem (phi(p) (u'))' + lambda(1phip)(u) = f (u) + h(t), u(0) = u(T) = 0, where p > 1, phi(p)(u) = \u\(p-2)u. By using generalized polar coordinates transformation method, we improve and generalize some results obtained recently in [J. Differential Equations 151 (1999) 386]. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

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