Vol. 216, No. 2, 2004

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A note on a fourth order PDE with critical nonlinearity

Changyou Wang

Vol. 216 (2004), No. 2, 393–397
Abstract

We consider the Euler–Lagrange equation of a functional arising from conformal geometry in four dimensions, a fourth order equation with borderline nonlinearity. We present a short proof of the fact that any W2,2-solution is smooth.

Milestones
Received: 20 June 2002
Published: 1 October 2004
Authors
Changyou Wang
Department of Mathematics
University of Kentucky
Lexington KY 40506