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Titlebook: Geometric Properties for Parabolic and Elliptic PDE‘s; Rolando Magnanini,Shigeru Sakaguchi,Angelo Alvino Book 2013 Springer-Verlag Italia

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发表于 2025-3-21 19:53:07 | 显示全部楼层 |阅读模式
书目名称Geometric Properties for Parabolic and Elliptic PDE‘s
编辑Rolando Magnanini,Shigeru Sakaguchi,Angelo Alvino
视频video
概述The survey articles provide excellent introductions for interested researchers.Potential readers belong to several areas of mathematics.The set of original papers covers a wide range of up-to-date and
丛书名称Springer INdAM Series
图书封面Titlebook: Geometric Properties for Parabolic and Elliptic PDE‘s;  Rolando Magnanini,Shigeru Sakaguchi,Angelo Alvino Book 2013 Springer-Verlag Italia
描述.The study of qualitative aspects of PDE‘s has always attracted much attention from the early beginnings. More recently, once basic issues about PDE‘s, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few. .This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research..
出版日期Book 2013
关键词asymptotic analysis; elliptic and parabolic partial differential equations; functional inequalities; ge
版次1
doihttps://doi.org/10.1007/978-88-470-2841-8
isbn_softcover978-88-470-5612-1
isbn_ebook978-88-470-2841-8Series ISSN 2281-518X Series E-ISSN 2281-5198
issn_series 2281-518X
copyrightSpringer-Verlag Italia 2013
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Morphologische EKG-Interpretation, among polygons having a given number of vertices and a given area. A long-standing conjecture by Pólya-Szegö states that the solution is the regular polygon. We show that such conjecture is true within the subclass of polygons for which a suitable notion of “asymmetry measure” exceeds a critical threshold.
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Stability and Instability of Group Invariant Asymptotic Profiles for Fast Diffusion Equations,tability, the notions of stability and instability of group invariant profiles are introduced under a similarly invariant class of perturbations, and moreover, some stability criteria are exhibited and applied to symmetric domain (e.g., annulus) cases.
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,Kato’s Inequality in the Half Space: An Alternative Proof and Relative Improvements,associated to a functional are, in fact, extremals. In this paper we will show how this method is well suited also to functionals that have no extremals. Moreover, we will present a class of inequalities that interpolate Kato’s inequality and Hardy’s inequality in the half space.
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Global Structure of the Solution Set for a Semilinear Elliptic Problem Related to the Liouville Equ the solution set of the problem in the bifurcation diagram. We find explicit solutions including non-radially symmetric solutions and determine the connected component containing the solutions. As a consequence, we provide a suggestive evidence for the global structure of the solution set of the Liouville equation.
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