Results 21 to 30 of about 26,844 (257)
Anisotropic regularity principle in sequence spaces and applications [PDF]
Communications in Contemporary Mathematics, 2018 We refine a recent technique introduced by Pellegrino, Santos, Serrano and Teixeira and prove a quite general anisotropic regularity principle in sequence spaces. As applications, we generalize previous results of several authors regarding Hardy–Littlewood inequalities for multilinear forms.
Albuquerque, Nacib, Rezende, Lisiane
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Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]
, 2010 In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor.
Arnold +65 more
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Directional Multifractal Analysis in the Lp Setting
Journal of Function Spaces, 2019 The classical Hölder regularity is restricted to locally bounded functions and takes only positive values. The local Lp regularity covers unbounded functions and negative values. Nevertheless, it has the same apparent regularity in all directions. In the
Mourad Ben Slimane +4 more
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Embedding of vector-valued Morrey spaces and separable differential operators [PDF]
Bulletin of Mathematical Sciences, 2019 The paper is the first part of a program devoted to the study of the behavior of operator-valued multipliers in Morrey spaces. Embedding theorems and uniform separability properties involving E-valued Morrey spaces are proved.
Maria Alessandra Ragusa, Veli Shakhmurov
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Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces [PDF]
, 2018 We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with anisotropic Sobolev regularity on which the Lie derivative has a discrete ...
Dang, Nguyen Viet, Riviere, Gabriel
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Partial Regularity Under Anisotropic (p, q) Growth Conditions
Journal of Differential Equations, 1994 Let \(\Omega\) be an open subset of \(\mathbb{R}^ n\), \(f: \mathbb{R}^{n\cdot N}\to \mathbb{R}\) be a function of class \(C^ 2\) satisfying the inequality \(|\xi|^ p\leq f(\xi)\leq C(1+ |\xi|^ q)\) for any \(\xi\in \mathbb{R}^{n\cdot N}\), and set \[ F(u)= \int_ \Omega f(Du)dx \] for any \(u\in W^{1,p}(\Omega,\mathbb{R}^ N)\).
E. ACERBI, FUSCO, NICOLA
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Mathematical and Computational Applications, 2019 We study a variational problem for hypersurfaces in the Euclidean space with an anisotropic surface energy. An anisotropic surface energy is the integral of an energy density that depends on the surface normal over the considered hypersurface, which was ...
Miyuki Koiso
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Wulff shape characterizations in overdetermined anisotropic elliptic problems [PDF]
, 2017 We study some overdetermined problems for possibly anisotropic degenerate elliptic PDEs, including the well-known Serrin's overdetermined problem, and we prove the corresponding Wulff shape characterizations by using some integral identities and just one
Bianchini, Chiara, Ciraolo, Giulio
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Generation of anisotropic-smoothness regularization filters for EIT [PDF]
IEEE Transactions on Medical Imaging, 2002 In the inverse conductivity problem, as in any ill-posed inverse problem, regularization techniques are necessary in order to stabilize inversion. A common way to implement regularization in electrical impedance tomography is to use Tikhonov regularization.
Borsic, Andrea +2 more
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An overdetermined problem for the anisotropic capacity [PDF]
, 2016 We consider an overdetermined problem for the Finsler Laplacian in the exterior of a convex domain in $\mathbb{R}^N$, establishing a symmetry result for the anisotropic capacitary potential. Our result extends the one of W. Reichel [Arch.
Bianchini, Chiara +2 more
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