Digital Library
Close Browse articles from a journal
 
<< previous    next >>
     Journal description
       All volumes of the corresponding journal
         All issues of the corresponding volume
           All articles of the corresponding issues
                                       Details for article 43 of 68 found articles
 
 
  Overdetermined Problems and the <i>p</i>-Laplacian
 
 
Title: Overdetermined Problems and the <i>p</i>-Laplacian
Author: B. Kawohl
Appeared in: Acta mathematica Universitatis Comenianae
Paging: Volume LXXVI (2007) nr. 1 pages 77-83
Year: 2007
Contents: In this lecture I report on essentially two results for overdetermined boundary value problems and the <i>p</i>-Laplace operator. The first one is joint work with H. Shahgholian on Bernoulli type free boundary problems that model for instance galvanization processes. For this family of problems the limits <i>p</i> <FONT SIZE='3' FACE='Symbol'>® ¥</FONT> and<i>p</i> <FONT SIZE='3' FACE='Symbol'>® </FONT> 1 lead to interesting analytical and surprising geometric questions. In particular for the case <i>p</i> <FONT SIZE='3' FACE='Symbol'>® </FONT> 1 I add more recent results, that are not contained in [12]. The second one is joint work with F. Gazzola and I. Fragala [6]. It provides an alternative and more geometric proof of Serrin's seminal symmetry result for positive solutions to overdetermined boundary value problems. As a byproduct I give an analytical proof for the geometric statement that a closed plane curve ofcurvature not exceeding <i>K</i> must enclose a disk of radius 1/<i>K</i>.
Publisher: Acta Mathematica Universitatis Comenianae, Institute of Applied Mathematics (provided by DOAJ)
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 43 of 68 found articles
 
<< previous    next >>
 
 Koninklijke Bibliotheek - National Library of the Netherlands