Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds
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 Infin...
Saved in:
Published in | Nonlinear analysis Vol. 127; pp. 235 - 262 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
01.11.2015
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | 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 Poincaré–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. |
---|---|
Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0362-546X 1873-5215 |
DOI: | 10.1016/j.na.2015.05.035 |