Linked eigenvalue problems for the p-Laplacian
Paul Binding, Yu‐Wen Huang · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1994
Linked equations of the form are studied on a bounded smooth domain in RN for λ ∈ R2. Existence and uniqueness of solutions are discussed for fi homogeneous of order p – 1 in ui, generalising the ‘Klein Oscillation Theorem’ when p = 2, N = 1. Bifurcation from the principal eigenvalue is also considered for nonhomogeneous perturbations fi of order greater than p – 1.