Abstract: By a compactness argument, it was shown that, the boundary regularity theorems of Schoen-Uhlenbeck [A regularity theory for harmonic maps. J. Differential Geom. 17 (1982), no. 2, 307–335] and Jost-Meier [Boundary regularity for minima of certain quadratic functionals. Math. Ann. 262 (1983), no. 4, 549–561] are uniform in the domains, boundary data, and the energy. The resulting estima...

This paper sheds new light on regularity of multifunctions through various characterizations of directional Hölder/Lipschitz metric regularity, which are based on the concepts of slope and coderivative. By using these characterizations, we show that directional Hölder/Lipschitz metric regularity is stable, when the multifunction under consideration is perturbed suitably. Applications of directi...

The maximal regularity problem for the discrete time evolution equations has been recently considered by Blunck [4, 5]. Discrete maximal regularity properties appears not to be considered in the literature before the paper [5]. The continuous maximal regularity problem for time evolution equations is well-know (see [1, 4, 5, 19, 20] and the reference contained therein). In the present paper we ...

In this paper, the notion of "regularity" is introduced to describe the structural features of DNA sequences. This notion expands the "latent periodicity" term. The novel method for revealing regularity based on the runs test is described. The search of regular sequences in eukaryotic promoters has shown that more than 60% of them possess a regularity property on statistically significant level...

Texture analysis plays an important role in applications like automated pattern inspection, image and video compression, content-based image retrieval, remotesensing, medical imaging and document processing, to name a few. Texture Structure Analysis is the process of studying the structure present in the textures. This structure can be expressed in terms of perceived regularity. Our human visua...