Calculus of Variations and Geometric Measure Theory

G. Arioli - F. Gazzola - H. C. Grunau - E. Mitidieri

A semilinear fourth order elliptic problem with exponential nonlinearity

created on 16 Dec 2003
modified on 07 Sep 2004

[BibTeX]

Accepted Paper

Inserted: 16 dec 2003
Last Updated: 7 sep 2004

Journal: SIAM J. Math. Anal.
Year: 2003

Abstract:

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 section.


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