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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 7
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Articles

Global bifurcation and nodal solutions of N-dimensional p- Laplacian in unit ball

, &
Pages 1345-1356 | Received 01 Sep 2011, Accepted 15 Mar 2012, Published online: 11 Apr 2012
 

Abstract

We are concerned with determining values of γ, for which there exist radial nodal solutions of the boundary-value problem

where B is the unit open ball in ℝ N with N ≥ 1. The proofs of our main results are based upon bifurcation techniques. In particular, we establish the global bifurcation theory for a second-order weighted p-Laplacian eigenvalue problem in B.

AMS Subject Classifications::

Acknowledgements

The authors are very grateful to the anonymous referees for their valuable suggestions. This research was supported by the NSFC (No. 11061030, No. 10971087), NWNU-LKQN-10-21.

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