Isoperimetric problems for a nonlocal perimeter of Minkowski type
نویسندگان
چکیده
منابع مشابه
Minkowski isoperimetric-hodograph curves
General offset curves are treated in the context of Minkowski geometry, the geometry of the two-dimensional plane, stemming from the consideration of a strictly convex, centrally symmetric given curve as its unit circle. Minkowski geometry permits us to move beyond classical confines and provides us with a framework in which to generalize the notion of Pythagorean-hodograph curves in the case o...
متن کاملOn the Perimeter of a Triangle in a Minkowski Plane
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive o...
متن کاملIsoperimetric type problems in Riemannian manifolds
The isoperimetric problem : In the classical isoperimetric problem, one is looking for a minimizer of the area functional subject to some volume constraint. This provides a way to construct constant mean curvature hypersurfaces since, when solutions exist and are regular enough, they are characterized by the fact that they are constant mean curvature hypersurfaces. Few information on the soluti...
متن کاملOn Isoperimetric Inequalities in Minkowski Spaces
In Geometric Convexity, but also beyond its limits, isoperimetric inequalities have always played a central role. Applications of such inequalities can be found in Stochastic Geometry, Functional Analysis, Fourier Analysis, Mathematical Physics, Discrete Geometry, Integral Geometry, and various further mathematical disciplines. We will present a survey on isoperimetric inequalities in real, fin...
متن کاملOrder-type existence theorem for second order nonlocal problems at resonance
This paper gives an abstract order-type existence theorem for second order nonlocal boundary value problems at resonance and obtain existence criteria for at least two positive solutions, where $f$ is a continuous function. Our results generalize or extend related results in the literature and give a positive answer to the question raised in the literature. An example is given to illustr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geometric Flows
سال: 2017
ISSN: 2353-3382
DOI: 10.1515/geofl-2017-0003