2-Dimensional Lp-Minkowski problem
- Date: 10/02/2007
Lecturer(s):
Meiyue Jiang (Peking University)
Location:
University of British Columbia
Topic:
et S^{n-1}subset R^n be the unit sphere. The L_p-Minkowski problem
proposed by Lukwak is a natural generalization of the classical
Minkowski problem. Analytically, it is equivalent to find positive
solutions of the equation
det(
abla_{ij}u+e_{ij}u)=g(x)u^{p-1}, xin S^{n-1}, (1)
where g is a function on S^{n-1}, pin f R, e_{ij} is the standard
Riemannian metric. In this talk we will present some existence results
for the case n=2, that is, 2pi and positive solutions of the equation
''u+u=g(x)u^{p-1}, xin S1 (2)
based on variational method. Some generalizations of equation (2) will also be discussed.
Other Information:
DG-MP-PDE Seminar 2007
Sponsor:
