Abstract
We study the following semilinear biharmonic equation , in , and , on where is the unit ball in and is the exterior unit normal vector. We prove the existence of such that for there exists a minimal (classical) solution , which satisfies . In the extremal case , we prove the existence of a weak solution which is the unique solution even in a very weak sense. Besides, several new difficulties arise and many problems still remain to be solved. We list those of particular interest in the final section.
Citation
Baishun Lai. "Some Remarks on Biharmonic Elliptic Problems with a Singular Nonlinearity." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/896902