## Existence of AC minimizers under the general hypotheses of lower semicontinuity, boundedness below, and superlinear growth at inΓΏnity in x (β’). Any nonconvex function h : R β [0; + β] will do, provided it is convex at = 0. Moreover, minimizers are shown to satisfy several regularity properties
Existence and regularity of minimizers of a functional for unsupervised multiphase segmentation
β Scribed by Sung Ha Kang; Riccardo March
- Book ID
- 119330981
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 776 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0362-546X
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## Abstract Let \input amssym $S\subset{\Bbb R}^2$ be a bounded domain with boundary of class __C__^β^, and let __g__~__ij__~ = Ξ΄~__ij__~ denote the flat metric on \input amssym ${\Bbb R}^2$. Let __u__ be a minimizer of the Willmore functional within a subclass (defined by prescribing boundary cond
In this paper, we study a class of neutral partial functional integrodifferential equations with finite delay by using the theory of resolvent operators. We give some sufficient conditions ensuring the existence, uniqueness and regularity of solutions. As an application, we also consider a diffusive