Results 81 to 90 of about 32,440 (193)
Coercive inequalities on weighted Sobolev spaces [PDF]
Colloquium Mathematicum, 1993 Let \(P_j= (P_{j1}, \dots, P_{jk})\) \((j=1, \dots, N)\) be scalar differential operators of order \(m\), acting on vector-valued functions \(f= (f_1, \dots, f_k)\): \[ P_j f=\sum_{i=1}^k P_{ji} f_i, \qquad P_{ji} g(x)= \sum_{|\alpha|\leq m} a_{\alpha, j,i} (x) Dg(x).
openaire +1 more source
Higher order nonlinear degenerate elliptic problems with weak monotonicity
Electronic Journal of Differential Equations, 2006 We prove the existence of solutions for nonlinear degenerate elliptic boundary-value problems of higher order. Solutions are obtained using pseudo-monotonicity theory in a suitable weighted Sobolev space.
Youssef Akdim +2 more
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In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
Random Structures &Algorithms, Volume 68, Issue 3, May 2026.ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
wiley +1 more source
On multipliers in weighted Sobolev spaces. Part II
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M (X → Y )denotes the multiplier space on the pair (X,
A. Myrzagaliyeva
doaj
Abstract and Applied Analysis, 2015 The existence and uniqueness of the boundary value problem for linear systems equations of the mixed hyperbolic-elliptic type in the multivariate domain with the changing time direction are studied.
Mahammad A. Nurmammadov
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Harmonic vibration of cusped plates in the N-th approximation of Vekua’s hierarchical models
Archives of Mechanics, 2013 In this paper elastic cusped symmetric prismatic shells (i.e., plates of variable thickness with cusped edges) in the N-th approximation of Vekua’s hierarchical models are considered.
N. Chinchaladze
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Some Remarks on Spaces of Morrey Type
Abstract and Applied Analysis, 2010 We deepen the study of some Morrey type spaces, denoted by Mp,λ(Ω), defined on an unbounded open subset Ω of ℝn. In particular, we construct decompositions for functions belonging to two different subspaces of Mp,λ(Ω), which allow us to prove a ...
Loredana Caso +2 more
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Well-posedness results for the 3D Zakharov-Kuznetsov equation
, 2011 We prove the local well-posedness of the three-dimensional Zakharov-Kuznetsov equation $\partial_tu+\Delta\partial_xu+ u\partial_xu=0$ in the Sobolev spaces $H^s(\R^3)$, $s>1$, as well as in the Besov space $B^{1,1}_2(\R^3)$.
Ribaud, Francis, Vento, Stéphane
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Gain of regularity for a Korteweg - de Vries - Kawahara type equation
Electronic Journal of Differential Equations, 2004 We study the existence of local and global solutions, and the gain of regularity for the initial value problem associated to the Korteweg - de Vries - Kawahara (KdVK) equation perturbed by a dispersive term which appears in several fluids dynamics ...
Octavio Paulo Vera Villagran
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Sharp weighted Sobolev trace inequalities and fractional powers of the Laplacian
, 2019 We establish a family of sharp Sobolev trace inequalities involving the $W^{k,2}(\mathbb{R}_+^{n+1},y^a)$-norm. These inequalities are closely related to the realization of fractional powers of the Laplacian on $\mathbb{R}^n=\partial\mathbb{R}_+^{n+1 ...
Case, Jeffrey S.
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