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High Order Regularity of Solutions to the Dirichlet Problem for a Class of Degenerate Elliptic Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年01期
Page:
28-32
Research Field:
数学
Publishing date:

Info

Title:
High Order Regularity of Solutions to the Dirichlet Problem for a Class of Degenerate Elliptic Equations
Author(s):
He Yue1; 2
1.School of Mathematics and Computing Science,Zhongshan University,Guangzhou 510275,China
2. In stitu te ofM ath em at ics, School ofM athem atics and Com pu ter Science, Nanj ing Norm alUn iversity, Nan jing 210097, Ch ina
Keywords:
degene rate e lliptic equa tions;  degenerate parabo lic equations;  bounded periodic dom ain;  Dir ichlet prob lem;  m inim a l g raphs;  r ig id ity problem;  h igh order regularity o f so lutions
PACS:
O175.25
DOI:
-
Abstract:
Since the study of degenerate e lliptic equation is very c losely re lated to theD irich let prob lem for m in im al graphs in hyperbolic space and the r ig id ity problem arising from in finitesim a l isom etr ic de fo rm ation of sur faces, w e discuss the high order regular ity o f so lu tions to the Dir ichlet problem fo r a class o f degenerate e lliptic equations in a bounded per iod ic dom a in. By them ethods o f functiona l ana lysis, w e ge t a suffic ient and necessary cond ition, wh ich concerns the h igh order regular ity of so lutions for such problem s.

References:

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Last Update: 2013-05-05