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Large and Small Solutions of a Class of Quasilinear Elliptic Eigenvalue Problems

✍ Scribed by Zongming Guo; J.R.L Webb

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
330 KB
Volume
180
Category
Article
ISSN
0022-0396

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✦ Synopsis

Existence and uniqueness results for large positive solutions are obtained for a class of quasilinear elliptic eigenvalue problems in general bounded smooth domains via a generalization of a sweeping principle of Serrin. The nonlinear terms of the problems can be negative in some intervals. The existence and structure of a mountain pass solution are also discussed. We show that this solution develops to a spike layer solution.

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