BIFURCATION ALONG CURVES FOR THE p-LAPLACIAN WITH RADIAL SYMMETRY

@inproceedings{Genoud2013BIFURCATIONAC,
  title={BIFURCATION ALONG CURVES FOR THE p-LAPLACIAN WITH RADIAL SYMMETRY},
  author={François Genoud},
  year={2013}
}
We study the global structure of the set of radial solutions of a nonlinear Dirichlet eigenvalue problem involving the p-Laplacian with p > 2, in the unit ball of RN , N > 1. We show that all non-trivial radial solutions lie on smooth curves of respectively positive and negative solutions, bifurcating from the first eigenvalue of a weighted p-linear problem. Our approach involves a local bifurcation result of Crandall-Rabinowitz type, and global continuation arguments relying on monotonicity… CONTINUE READING