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首页> 外文期刊>Proceedings of the American Mathematical Society >A UNIQUENESS RESULT FOR A CLASS OF SINGULAR P-LAPLACIAN DIRICHLET PROBLEM WITH NON-MONOTONE FORCING TERM
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A UNIQUENESS RESULT FOR A CLASS OF SINGULAR P-LAPLACIAN DIRICHLET PROBLEM WITH NON-MONOTONE FORCING TERM

机译：A UNIQUENESS RESULT FOR A CLASS OF SINGULAR P-LAPLACIAN DIRICHLET PROBLEM WITH NON-MONOTONE FORCING TERM

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摘要

We prove uniqueness of positive solutions for the problem -Delta pu = lambda f (u)/u beta in Omega, u = 0 on partial differential partial derivative Omega, where beta is an element of (0, 1), 1 (0, infinity) is of class C-1 with f (z)/z(beta) decreasing for z large, and lambda is a large parameter. Here the forcing term f(z) is not required to be increasing even for large z.

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