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Three non-trivial solutions for not necessarily coercive p-Laplacian equations
Published online by Cambridge University Press: 23 September 2009
Abstract
We consider the existence of three non-trivial smooth solutions for nonlinear elliptic problems driven by the p-Laplacian. Using variational arguments, coupled with the method of upper and lower solutions, critical groups and suitable truncation techniques, we produce three non-trivial smooth solutions, two of which have constant sign. The hypotheses incorporate both coercive and non-coercive problems in our framework of analysis.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 52 , Issue 3 , October 2009 , pp. 679 - 688
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- Copyright © Edinburgh Mathematical Society 2009
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