On the principal eigencurve of the p-Laplacian related to the Sobolev trace embedding
Abdelouahed El Khalil, Mohammed Ouanan · Applicationes Mathematicae · 2005
We prove that for any $\lambda \in {\Bbb R}$, there is an increasing sequence of eigenvalues $\mu_n(\lambda)$ for the nonlinear boundary value problem $$ \cases{ {\mit\Delta}_pu=|u|^{p-2}u &\textrm{in } {\mit\Omega} ,\cr | abla u|^{p-2}{\partial u}/{\pa