Boundary value problems for some fully nonlinear elliptic equations

Original Article

DOI: 10.1007/s00526-006-0072-7

Cite this article as:
Chen, S.S. Calc. Var. (2007) 30: 1. doi:10.1007/s00526-006-0072-7


We consider a Yamabe-type problem on locally conformally flat compact manifolds with boundary. The main technique we used is to derive boundary C2 estimates directly from boundary C0 estimates. We will control the third derivatives on the boundary instead of constructing a barrier function. This result is a generalization of the work by Escobar.

Mathematics Subject Classification

35 53 

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA