by Arioli, G., Gazzola, F., Grunau, H.-Ch., Mitidieri, E..
Series: 2002-35, Preprints
We study a semilinear fourth order elliptic problem
with exponential nonlinearity. Motivated by a question raised by P.L. Lions,
we partially extend known results for the corresponding second order
problem. Several new difficulties arise and many problems still remain to
be solved. We list the ones we feel particularly interesting in the final
biharmonic, supercritical growth, exponential nonlinearity, singular solution, regular solution
This paper was published in:
SIAM J. Math. Anal. 36 , 1226-1258 (2005).