Title of article
Generic multiplicity for a scalar field equation on compact surfaces
Author/Authors
Francesca De Marchis، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
28
From page
2165
To page
2192
Abstract
We prove generic multiplicity of solutions for a scalar field equation on compact surfaces via Morse
inequalities. In particular our result improves significantly the multiplicity estimate which can be deduced
from the degree-counting formula in Chen and Lin (2003) [12]. Related results are derived for the prescribed
Q-curvature equation.
© 2010 Elsevier Inc. All rights reserved.
Keywords
Geometric PDE’s , Generic multiplicity , Scalar field equations , Morse inequalities
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840294
Link To Document