| Existence results for a class of Nonlinear semipositone problem |
| کد مقاله : 1050-SHAA |
| نویسندگان: |
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صالح شاکری * دانشگاه ازاد اسلامی واحد ایت الله املی |
| چکیده مقاله: |
| In this article, we are interested in the existence of positive solutions for the following Kirchhoff type problems $$ left{begin{array}{ll} -Mleft(int_{Omega}|nabla u|^p,dxright)Delta_pu = lambda a(x)f(u)-frac{1}{u^{alpha}} quad text{ in } Omega, u = 0 & textrm{ on }partial Omega, end{array}right. $$ where $Omega$ is a bounded domain of $R^N $ with smooth boundary $partialOmega, 0 < alpha <1, 1 C(overlineOmega)$, and $f :[0,infty] longrightarrowR$ is continuous, nondecreasing function which are asymptotically $p$-linear at $infty$. We prove the existence of a positive solution for certain range of $lambda$ using the method of sub-supersolutions. |
| کلیدواژه ها: |
| Kirchhoff type problems, Infinite semipositone problem, Positive solution, Sub- and supersolutions |
| وضعیت : مقاله به صورت مشروط برای ارائه به صورت پوستر پذیرفته شده است |