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

共 50 条

[21] Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains
Hu, Kai
Tang, Chun-Lei
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (03) : 609 - 629
[22] The global existence and attractor for p-Laplace equations in unbounded domains
Farwig, Reinhard
Qian, Chenyin
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2020, 6 (01) : 311 - 342
[23] The global existence and attractor for p-Laplace equations in unbounded domains
Reinhard Farwig
Chenyin Qian
Journal of Elliptic and Parabolic Equations, 2020, 6 : 311 - 342
[24] Existence of 2-Nodal Solutions for Semilinear Elliptic Equations in Unbounded Domains
Li, Tiexiang
Lin, Huei-li
Wu, Tsung-fang
ADVANCED NONLINEAR STUDIES, 2010, 10 (01) : 1 - 21
[25] Existence and non-existence of solutions to elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities
Thomas Bartsch
Shuangjie Peng
Zhitao Zhang
Calculus of Variations and Partial Differential Equations, 2007, 30 : 113 - 136
[26] Correction to: The global existence and attractor for p-Laplace equations in unbounded domains
Reinhard Farwig
Chenyin Qian
Journal of Elliptic and Parabolic Equations, 2021, 7 : 991 - 992
[27] Liouville-type results for semilinear elliptic equations in unbounded domains
Henri Berestycki
FranÇois Hamel
Luca Rossi
Annali di Matematica Pura ed Applicata, 2007, 186
[28] Liouville-type results for semilinear elliptic equations in unbounded domains
Berestycki, Henri
Hamel, Francois
Rossi, Luca
ANNALI DI MATEMATICA PURA ED APPLICATA, 2007, 186 (03) : 469 - 507
[29] Non-existence of local solutions for semilinear heat equations of Osgood type
Laister, R.
Robinson, J. C.
Sierzega, M.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (10) : 3020 - 3028
[30] Asymptotic behavior and non-existence theorems for semilinear Dirichlet problems involving critical exponent on unbounded domains of the Heisenberg group.
Lanconelli, E
Uguzzoni, F
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1998, 1B (01): : 139 - 168

← 1 2 3 4 5 →