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)|
|Number of pages||43|
|Journal||American Journal of Mathematics|
|State||Published - Apr 1 1999|
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