منابع مشابه
A Sobolev-type Inequality with Applications
In this note, a Sobolev-type inequality is proved. Applications to obtaining linear decay rates for perturbations of viscous shocks are also discussed.
متن کاملOn a type Sobolev inequality and its applications
Assume ‖ · ‖ is a norm on Rn and ‖ · ‖∗ its dual. In this paper we consider the closed ball T := B‖·‖(0, r), r > 0. Suppose φ is an Orlicz function and ψ its conjugate, we prove that for arbitrary A,B > 0 and for each Lipschitz function f on T the following inequality holds sup s,t∈T |f(s)− f(t)| 6 6AB( ∫ r 0 ψ( 1 Aεn−1 )εn−1dε+ + 1 n|B‖·‖(0, 1)| ∫ T φ( 1 B ‖∇f(u)‖∗)du), where |·| is the standa...
متن کاملa cauchy-schwarz type inequality for fuzzy integrals
نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولRemarks on a Sobolev–Hardy inequality
where x = (y, z) ∈ R × R was studied by Badiale and Tarantello in [1]. Our aim is to solve two open problems contained in [1]. First we compute the optimal value of the constant C in Equation (1) in the case of Hardy’s inequality, namely p = q = β. In fact we prove a more general inequality with optimal constant in Section 2. In Section 3, we consider the symmetry of the optimal functions. Usin...
متن کاملOn the Best Sobolev Inequality
We prove that the best constant in the Sobolev inequality (WI,” c Lp* with $= f i and 1 c p < n) is achieved on compact Riemannian manifolds, or only complete under some hypotheses. We also establish stronger inequalities where the norms are to some exponent which seems optimal. 0 Elsevier, Paris
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: Rendiconti Lincei - Matematica e Applicazioni
سال: 2009
ISSN: 1120-6330
DOI: 10.4171/rlm/553