Results 71 to 80 of about 27,468 (197)
Sobolev inequalities for weight spaces and supercontractivity [PDF]
Transactions of the American Mathematical Society, 1976 For ϕ ∈ C 2 ( R n ) \phi \in {C^2}({{\mathbf {R}}^n}) with ϕ ( x ) = a | x
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Uniqueness Results for Higher Order Elliptic Equations in Weighted Sobolev Spaces
International Journal of Differential Equations, 2018 We prove some uniqueness results for the solution of two kinds of Dirichlet boundary value problems for second- and fourth-order linear elliptic differential equations with discontinuous coefficients in polyhedral angles, in weighted Sobolev spaces.
Loredana Caso +3 more
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A NOTE ON WEIGHTED SOBOLEV SPACES RELATED TO WEAKLY AND STRONGLY DEGENERATE DIFFERENTIAL OPERATORS
Journal of Optimization, Differential Equations and Their Applications, 2019 In this paper we discuss some issues related to Poincar´e’s inequality for a special class of weighted Sobolev spaces. A common feature of these spaces is that they can be naturally associated with differential operators with variable diffusion ...
Peter I. Kogut +3 more
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Removable Sets for Weighted Orlicz-Sobolev Spaces [PDF]
Computational Methods and Function Theory, 2019 11 ...
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Certain imbeddings of weighted Sobolev spaces [PDF]
Mathematical Inequalities & Applications, 2003 The authors characterize weight functions for which the weighted Sobolev space \(W^{1,p}(\Omega, d^\beta_M)\) [and also \(W^{1,p}(\Omega, s_0(d_M))\)] is imbedded continuously or compactly into the weighted Lebesgue space \(L^q(\Omega, d^\alpha_M)\) [and also \(L^q(\Omega, s_1(d_M))\)], where \(1\leq q< p< \infty\) and \(M\subset\partial\Omega\).
Jain, Pankaj +2 more
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International Journal of Analysis and Applications, 2018 This paper addresses an initial boundary value problem for the damped Burgers equation in weighted Sobolev spaces on half line. First, it introduces two normed spaces and present relations between them, which in turn enables us to analysis the existence ...
Mohammadreza Foroutan, Ali Ebadian
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Embeddings of a Multi-Weighted Anisotropic Sobolev Type Space
Қарағанды университетінің хабаршысы. Математика сериясыParameters such as various integral and differential characteristics of functions, smoothness properties of regions and their boundaries, as well as many classes of weight functions cause complex relationships and embedding conditions for multi-weighted
G.Sh. Iskakova +2 more
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Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
Electronic Journal of Differential Equations, 2019 In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space.
Filomena Feo, Gabriella Paderni
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Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
International Journal of Mathematics and Mathematical Sciences, 2008 We study in this paper a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝ𝑛, 𝑛≥3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.
Serena Boccia +2 more
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Carleson–Sobolev measures for weighted Bloch spaces
Journal of Functional Analysis, 2010 Let \(B_n\) denote the unit ball in \( \mathbb C^n.\) The class of all homomorphic functions on \(B_n\) will be denoted by \(H(B_n).\) Let \(f \in H(B_n)\) have the homogeneous expansion \(f(z)=\sum_{k=1}^\infty f_k(z).\) For each non-negative integer \(j\), we define \({\mathcal R}^j f(z)=\sum_{k=1}^\infty k^jf_k(z).\) For each real parameter \(\alpha\
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