A class of degenerate elliptic eigenvalue problems

A class of degenerate elliptic eigenvalue problems

Blog Article

We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is jacked frost not necessarily differentiable.We derive a strong maximum principle and show uniqueness of the first eigenfunction.Moreover we prove the existence of a sequence of eigensolutions by using fishbowl cups with lids and straw a critical point theory in metric spaces.Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting.