Results 51 to 60 of about 421,577 (266)
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, EarlyView.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
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Journal of Mathematical Analysis and Applications, 1988 (i) Z” is non-void and does not contain origin (ii) Z#Y, Z’On(--f”)=@ and Zn(-Z’)=(O), where rodenotes the interior of Z’. For y, y’ in Y we define y 3 y’[ y > y’] if y y’ E Z [ y y’ E Z”]. It is easy to verify that 2 is a partial ordering in Y. For any positive integer k ( > 1) we denote by Y“ the Cartesian product Yx Yx ... x Y (k-times). For y= (yi,
P.C. Bhakta, Sumitra Roychaudhuri
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Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
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Neutrosophic Triplet m-Banach Spaces [PDF]
Neutrosophic Sets and Systems, 2020 Neutrosophic triplet theory has an important place in neutrosophic theory. Since the neutrosophic triplet set (Nts), which have the feature of having multiple unit elements, have different units than the classical unit, they have more features than the ...
Abdullah Kargın +3 more
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Moreau’s decomposition in Banach spaces [PDF]
Mathematical Programming, 2013 Moreau's decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended to reflexive Banach spaces and in the context of generalized proximity measures. This extension unifies and significantly improves upon existing results.
Combettes, Patrick Louis, Reyes, Noli
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Enhancing human gut health: Global innovations in dysbiosis management
iMeta, EarlyView.The microbiota, comprising all the microorganisms within the body, plays a critical role in maintaining good health. Dysbiosis represents a condition resulting from an imbalance or alteration of the microbiota. This study comprehensively investigates the patent literature on dysbiosis over the past 20 years.
Reda El Boukhari +66 more
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Separability of Topological Groups: A Survey with Open Problems
Axioms, 2018 Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
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Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, EarlyView.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
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On quasihyperbolic geodesics in Banach spaces [PDF]
Annales Academiae Scientiarum Fennicae Mathematica, 2014 14 pages, 4 ...
Talponen, Jarno, Rasila, Antti
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Lipschitz measures and vector-valued Hardy spaces
International Journal of Mathematics and Mathematical Sciences, 2001 We define certain spaces of Banach-valued measures called Lipschitz measures. When the Banach space is a dual space X*, these spaces can be identified with the duals of the atomic vector-valued Hardy spaces HXp(ℝn ...
Magali Folch-Gabayet +2 more
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