Global bifurcation and nodal solutions ofN-dimensionalp- Laplacian in unit ball

Guowei Dai, Ruyun Ma, Jia Xu · Applicable Analysis · 2012

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.

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