Results 21 to 30 of about 290,329 (292)
Hölder regularity for nonlocal double phase equations [PDF]
We prove some regularity estimates for viscosity solutions to a class of possible degenerate and singular integro-differential equations whose leading operator switches between two different types of fractional elliptic phases, according to the zero set ...
Cristiana De Filippis +1 more
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Well-Posedness and Regularity Results for Fractional Wave Equations with Time-Dependent Coefficients
Fractional wave equations with time-dependent coefficients are natural generations of classical wave equations which can be used to characterize propagation of wave in inhomogeneous media with frequency-dependent power-law behavior.
Li Peng, Yong Zhou
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Regular Partitions of Regular Graphs [PDF]
In the study of the combinatorial structure of edge-graphs of convex polytopes one may ask whether a given graph possesses a partition consisting of certain kinds of subgraphs.In this paper we describe some special partitions of 3-valent and 4-valent graphs.
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Motivated by the problem of the dynamics of point-particles in high post-Newtonian (e.g., 3PN) approximations of general relativity, we consider a certain class of functions which are smooth except at some isolated points around which they admit a power-like singular expansion.
Blanchet, Luc, Faye, Guillaume
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We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coefficients have a “butterfly support”: this allows
Leonardi Salvatore +3 more
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On the Regularity of Minima of Non-autonomous Functionals [PDF]
We consider regularity issues for minima of non-autonomous functionals in the Calculus of Variations exhibiting non-uniform ellipticity features. We provide a few sharp regularity results for local minimizers that also cover the case of functionals with ...
C. Filippis, G. Mingione
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Regularity, length of the cycle and duration of menstrual flow are a reflection of women health. The purpose of the research was to assess the relationships between socioeconomic status, cycle length, duration of menses, regularity and dysmenorrhea.
Nieczuja-Dwojacka Joanna +3 more
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Constancy of the Dimension for RCD(K,N) Spaces via Regularity of Lagrangian Flows [PDF]
We prove a regularity result for Lagrangian flows of Sobolev vector fields over RCD(K, N) metric measure spaces; regularity is understood with respect to a newly defined quasi‐metric built from the Green function of the Laplacian. Its main application is
Elia Brué, Daniele Semola
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Directional Regularity and Metric Regularity
For general constraint systems in Banach spaces, we present the directional stability theorem based on the appropriate generalization of the directional regularity condition, suggested earlier in [A. V. Arutyunov and A. F. Izmailov, Math. Oper. Res., 31 (2006), pp. 526-543].
Arutyunov A.V. +2 more
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Mathematics Technical ...
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