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Many solutions of elliptic problems on Rn of irrational slope
被引：35
|作者：
Bessi, U
[1
]
机构：
[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
关键词：
Aubry-Mather theory for elliptic problems on R-n;
minimal and non-self intersecting solutions;
multiplicity for Denjoy sets;
D O I：
10.1080/03605300500299992
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem -Delta u+F-u(x,u)=0 on R-n , where F is a smooth function periodic of period 1 in all its variables. We show that, under suitable hypotheses on F , this problem has a family of non-self-intersecting solutions u(D), which are at finite distance from a plane of slope (omega,0,...,0) with omega irrational. These solutions depend on a real parameter D; if D not equal D' , then the closures of the integer translates of u(D) and of u(D') do not intersect.
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页码：1773 / 1804
页数：32
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