Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds

被引：4
|
作者：
Gamara, Najoua [1 ,2 ]
Amri, Amine [1 ,3 ]
Guemri, Habiba [1 ,2 ]
机构：
[1] Taibah Univ, Coll Sci, Tayba, Saudi Arabia
[2] Univ Tunis El Manar, Tunis, Tunisia
[3] Univ Dammam, Coll Educ, Dammam, Saudi Arabia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 127卷
关键词：
CR manifolds; Webster scalar curvature; Flatness condition; Critical point at infinity; Morse index; CONFORMAL DEFORMATION; PERTURBATION RESULT; EXISTENCE; METRICS;
D O I：
10.1016/j.na.2015.05.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we give new existence and multiplicity results for the solutions of the prescription problem for the Webster scalar curvature on a 3-dimensional Pseudo Hermitian Manifold. The critical points of prescribed functions verify mixed conditions. We establish some Morse Inequalities at Infinity and a Poincare Hopf type formula to give a lower bound on the number of solutions as well as an upper bound for the Morse index of such solutions. (C) 2015 Elsevier Ltd. All rights reserved.
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页码：235 / 262
页数：28
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