Existence of a positive solution for a p-Laplacian equation with singular nonlinearities
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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.
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Journal title
volume 2 issue 2
pages 159- 166
publication date 2014-12-31
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