Finite Morse index solutions of exponential problems
E.N. Dancer
School of Mathematics and Statistics, The University of Sydney, NSW 2006, Australia
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Abstract
We prove that the problem has no negative finite Morse index solution on and give some applications to bounded domain problems.
Résumé
Nous montrons que le problème ne possède pas de solution négative d'indice de Morse fini sur et présentons quelques applications à des problèmes sur des domaines bornés.
Cite this article
E.N. Dancer, Finite Morse index solutions of exponential problems. Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 1, pp. 173–179
DOI 10.1016/J.ANIHPC.2006.12.001