Regularity of a fourth order nonlinear PDE with critical exponent

Sun Yung A. Chang, Matthew J. Gursky, Paul C. Yang

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


In this paper we demonstrate the regularity of minimizers for a variational problem, a special case of which arises in spectral theory and conformal geometry. The associated Euler-Lagrange equation is fourth order semilinear; the leading term is the bilaplacian, and lower order terms appear at critical powers.

Original languageEnglish (US)
Pages (from-to)215-257
Number of pages43
JournalAmerican Journal of Mathematics
Issue number2
StatePublished - Apr 1999

All Science Journal Classification (ASJC) codes

  • General Mathematics


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