Abstract We consider a nonlinear Dirichlet problem driven by the ( p , q )-Laplacian and with reaction having combined effects of singular term parametric $$(p-1)$$ (p-1) -superlinear perturbation. prove bifurcation-type re...

We study finite dimensional vector spaces over fields of elliptic functions equipped with two commuting aotomorphisms \sigma and \tau induced by isogenies relatively prime orders. give a structure theorem for such objects, that reveals connection to the classification bundles on curves Atiyah. As an application we prove analogue conjecture Loxton van der Poorten which has been recently proved A...