A symmetry result for a general class of divergence form PDEs in fibered media

被引:14
作者
Chermisi, Milena [2 ]
Valdinoci, Enrico [1 ]
机构
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA
关键词
Possibly degenerate and singular elliptic PDEs; Geometric analysis; Rigidity and symmetry results; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; REGULARITY; SURFACES;
D O I
10.1016/j.na.2010.04.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In R(m) x R(n-m), endowed with coordinates X = (x, y), we consider the PDE -div(a(x,vertical bar del u vertical bar(X))del u(X)) = f(x, u(X)), for which we prove a symmetry result. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:695 / 703
页数:9
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