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 1999|
All Science Journal Classification (ASJC) codes