Bifurcation phenomena associated to a class of p-Laplacian like operators |
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| Authors: | Nobuyoshi Fukagai Kimiaki Narukawa |
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| Affiliation: | (1) Department of Mathematics, Faculty of Engineering, Tokushima University, Tokushima 770-8506, Japan. e-mail: fukagai@pm.tokushima-u.ac.jp, JP;(2) Department of Mathematics, Naruto University of Education, Takashima, Naruto 772-8502, Japan. e-mail: knaru@naruto-u.ac.jp, JP |
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| Abstract: | Global bifurcation of positive solutions for some degenerate quasilinear elliptic problems is considered. The uniform estimate of the gradient of weak solutions is given. This estimate is crucial in our arguments. Received: 10 August 2001 Supported in part by Grant-in-Aid for Scientific Research (No. 11640207), Ministry of Education, Science, Sports and Culture, Japan. Mathematics Subject Classification (2000): 35B32, 35J25, 35J70 |
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