Abstract
A reformulation of the Levenberg-Yamaguchi second variation formula for the Robin function is presented. Then a new moving frame proof to the reformulation is given. This generalizes the Levenberg-Yamaguchi second variation formula to the smooth variation of domains in almost complex manifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 345-353 |
| Number of pages | 9 |
| Journal | Complex Variables and Elliptic Equations |
| Volume | 54 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - Mar 2009 |
| Externally published | Yes |
Bibliographical note
Funding Information:The main part of this work was carried out during the graduate study of the author. He would like to express his gratitude to his advisor K.T. Kim of POSTECH. He also thanks H. Yamaguchi for invaluable advice and encouragement throughout this work. The final portion of this article was completed during the author’s visit to CMI, Université de Provence, Aix-Marseille 1, France. He would like to express his gratitude to its hospitality. The author’s research is supported in part by the KRF Grant 2005-070-C00007 (PI: Chong-Kyu Han) of the Korea Research Foundation.
Keywords
- Levenberg-Yamaguchi formula
- Robin function
- Second variation
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics