Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
Takashi Suzuki
Department of Mathematics, Faculty of Science, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo, Japan 192-03
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Abstract
For the Emden–Fowler equation in , the connectivity of the trivial solution and the one-point blow-up singular limit is studied with respect to the parameter . The connectivity is assured when the domain is simply connected and the total mass tends to from below, which is a generalization for the case that is a ball.
Cite this article
Takashi Suzuki, Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity. Ann. Inst. H. Poincaré Anal. Non Linéaire 9 (1992), no. 4, pp. 367–397
DOI 10.1016/S0294-1449(16)30232-3