Existence of a positive solution for a p-Laplacian equation with‎ ‎singular nonlinearities

نویسندگان

  • F. Yosefzade Faculty of Basic Sciences, Babol University of Technology, Babol, Iran
  • S‎. ‎Khademloo Faculty of Basic Sciences,‎ ‎Babol University of Technology‎, ‎Babol‎, ‎Iran
چکیده مقاله:

‎In this paper‎, ‎we study a class of boundary value problem‎ ‎involving the p-Laplacian oprator and singular nonlinearities‎. ‎We‎ ‎analyze the existence a critical parameter $lambda^{ast}$ such‎ ‎that the problem has least one solution for‎ ‎$lambdain(0,lambda^{ast})$ and no solution for‎ ‎$lambda>lambda^{ast}.$ We find lower bounds of critical‎ ‎parameter $lambda^{ast}$‎. ‎We use the method of‎ ‎sub-supersolution to establish our results.‎

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existence of a positive solution for a p-laplacian equation with‎ ‎singular nonlinearities

‎in this paper‎, ‎we study a class of boundary value problem‎ ‎involving the p-laplacian oprator and singular nonlinearities‎. ‎we‎ ‎analyze the existence a critical parameter $lambda^{ast}$ such‎ ‎that the problem has least one solution for‎ ‎$lambdain(0,lambda^{ast})$ and no solution for‎ ‎$lambda>lambda^{ast}.$ we find lower bounds of critical‎ ‎parameter $lambda^{ast}$‎. ‎we use the method ...

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عنوان ژورنال

دوره 2  شماره 2

صفحات  159- 166

تاریخ انتشار 2014-12-31

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