This project will involve various problems in the calculus of variations related to the existence and regularity of solutions of differential equations. The first problem deals with the equations of uniform rotations of selfgravitating stars. The work builds on recent work by the investigator. The second problem deals with elliptic equations with critical exponent. Here relations between solvability and geometry of domains will be studied. Finally, the regularity of minimizers of degenerate elliptic integrals will be considered. These studies are part of the theoretical basis of mathematical physics in areas such as celestial mechanics and material sciences.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9104293
Program Officer
John V. Ryff
Project Start
Project End
Budget Start
1991-06-01
Budget End
1994-11-30
Support Year
Fiscal Year
1991
Total Cost
$66,435
Indirect Cost
Name
Rutgers University
Department
Type
DUNS #
City
New Brunswick
State
NJ
Country
United States
Zip Code
08901