|
|||||
|
|
Regularity theory and traces of |
|
| Authors: | Pekka Koskela Juan J. Manfredi Enrique Villamor |
| Affiliation: | Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109 ; Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 ; Department of Mathematics, Florida International University, Miami, Florida 33199 |
| Abstract: | In this paper we discuss two different topics concerning  -harmonic functions. These are weak solutions of the partial differential equation
where |
| Keywords: | |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载全文 | |
for some fixed 
, the function 
is bounded and 
for a.e. 
. First, we present a new approach to the regularity of 
-harmonic functions for 
. Secondly, we establish results on the existence of nontangential limits for 
-harmonic functions in the Sobolev space 
, for some 
, where 
is the unit ball in 
. Here 
is allowed to be different from 
.