In this paper we consider the one-dimensional elliptic boundary blow-up problem
where is the usual -Laplace operator. We show that the structure of the solutions can be very rich even for a simple function which gives a leading that a similar result might hold also in higher dimensional spaces.
Cite this article
Yuanji Cheng, Some Surprising Results on a One-Dimensional Elliptic Boundary Value Blow-Up Problem. Z. Anal. Anwend. 18 (1999), no. 3, pp. 525–537DOI 10.4171/ZAA/896