وجود یک جواب مثبت برای یک معادله p-لاپلاسین با غیر خطی های تکین

‎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.‎

Keywords:

singular nonlinearities‎ , ‎positive solution , ‎ ‎sub-supersolution