We consider a general class of eigenvalue problems where the guerlain ideal cologne leading elliptic term corresponds to a convex homogeneous energy function that is 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 a critical point theory in metric spaces.
Our results extend the eigenvalue problem of the p-Laplace operator to fiori.mitrphol.com a much more general setting.