1
Faculty of Basic Sciences, Babol University of Technology, Babol, Iran
2
Faculty of Basic Sciences, Babol University of Technology, Babol, Iran
Abstract
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.
Khademloo, S., & Yosefzade, F. (2013). Existence of a positive solution for a p-Laplacian equation with singular nonlinearities. Caspian Journal of Mathematical Sciences, 2(2), 159-166.
MLA
S. Khademloo; F. Yosefzade. "Existence of a positive solution for a p-Laplacian equation with singular nonlinearities", Caspian Journal of Mathematical Sciences, 2, 2, 2013, 159-166.
HARVARD
Khademloo, S., Yosefzade, F. (2013). 'Existence of a positive solution for a p-Laplacian equation with singular nonlinearities', Caspian Journal of Mathematical Sciences, 2(2), pp. 159-166.
VANCOUVER
Khademloo, S., Yosefzade, F. Existence of a positive solution for a p-Laplacian equation with singular nonlinearities. Caspian Journal of Mathematical Sciences, 2013; 2(2): 159-166.
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