Non-linear Partial Differential Equations in Conformal Geometry ∗

@inproceedings{Chang2002NonlinearPD,
  title={Non-linear Partial Differential Equations in Conformal Geometry ∗},
  author={S A Chang},
  year={2002}
}
In the study of conformal geometry, the method of elliptic partial differential equations is playing an increasingly significant role. Since the solution of the Yamabe problem, a family of conformally covariant operators (for definition, see section 2) generalizing the conformal Laplacian, and their associated conformal invariants have been introduced. The conformally covariant powers of the Laplacian form a family P2k with k ∈ N and k ≤ n 2 if the dimension n is even. Each P2k has leading… CONTINUE READING
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