Non-existence results for semilinear Kohn-Laplace equations in unbounded domains

被引：23

作者：

Lanconelli, E ^{[1
]}

Uguzzoni, F ^{[1
]}

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2000年 / 25卷 / 9-10期

关键词：

D O I：

10.1080/03605300008821564

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove several non-existence theorems for the boundary value problem (formula presented) where Ωis a connected unbounded open subset of the Heisenberg group ℍn, △ℍn denotes the Kohn Laplacian on ℍn and S10 (Ω) is the Sobolev-Stein space, completion of C∞0(Ω) with respect to the norm (formula presented) ▽ℍn stands for the intrinsic gradient on Hn. We shall denote by Q:= 2n + 2 the homogeneous dimension of ℍn and by Q*:= 2Q/Q-2 the exponent of the Sobolev-type embedding.

引用

页码：1703 / 1739

页数：37

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