Strong Comparison Principle for the Fractional p-Laplacian and Applications to Starshaped Rings
نویسندگان
چکیده
منابع مشابه
A STRONG COMPARISON PRINCIPLE FOR THE p-LAPLACIAN
We consider weak solutions of the differential inequality of pLaplacian type −∆pu− f(u) ≤ −∆pv − f(v) such that u ≤ v on a smooth bounded domain in RN and either u or v is a weak solution of the corresponding Dirichlet problem with zero boundary condition. Assuming that u < v on the boundary of the domain we prove that u < v, and assuming that u ≡ v ≡ 0 on the boundary of the domain we prove u ...
متن کاملApplications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations
In this paper, we establish exact solutions for the time-fractional Klein-Gordon equation, and the time-fractional Hirota-Satsuma coupled KdV system. The He’s semi-inverse and the Kudryashov methods are used to construct exact solutions of these equations. We apply He’s semi-inverse method to establish a variational theory for the time-fractional Klein-Gordon equation, and the time-fractiona...
متن کاملthe evaluation and comparison of two esp textbooks available on the iranian market for teaching english to the students of medicine
abstract this study evaluated and compared medical terminology and english for the students of medicine (ii) as two representatives of the textbooks available on the iranian market for teaching english to the students of medicine. this research was performed on the basis of a teacher’s and a number of students’ attitudes and the students’ needs analysis for two reasons: first, to investigate...
15 صفحه اولOn a Picone's identity for the $mathcal{A}_{p(x)}$-Laplacian and its applications
We present a Picone's identity for the $mathcal{A}_{p(x)}$-Laplacian, which is an extension of the classic identity for the ordinary Laplace. Also, some applications of our results in Sobolev spaces with variable exponent are suggested.
متن کاملCOMPARISON PRINCIPLE AND CONSTRAINED RADIAL SYMMETRY FOR THE SUBDIFFUSIVE p-LAPLACIAN
A comparison principle for the subdiffusive p-Laplacian in a possibly nonsmooth and unbounded open set is proved. The result requires that the involved sub and supersolution are positive, and the ratio of the former to the latter is bounded. As an application, constrained radial symmetry for overdetermined problems is obtained. More precisely, both Dirichlet and Neumann conditions are prescribe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advanced Nonlinear Studies
سال: 2018
ISSN: 2169-0375,1536-1365
DOI: 10.1515/ans-2017-6039