Regularity of a fourth order nonlinear PDE with critical exponent

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

Regularity of a fourth order nonlinear PDE with critical exponent

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

Mathematics

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	215-257
Number of pages	43
Journal	American Journal of Mathematics
Volume	121
Issue number	2
State	Published - Apr 1999

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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abstract = "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.",

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Regularity of a fourth order nonlinear PDE with critical exponent

Abstract

All Science Journal Classification (ASJC) codes

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