A Variational Approach Towards Supercritical Hamiltonian Systems and (p, 2)-Laplace Equations

Abstract

The aim of the dissertation is to use a variational principle on convex subsets of a Banach space to study two types of nonlinear partial differential equations. We are interested in studying elliptic problems with supercritical nonlinearities as we lose the compactness property, resulting to the possibility of standard variational (p, 2)-Laplace Operator 5 Systems of Nonhomogeneous Nonlinear Elliptic Equations on a Bounded Annular Domain 5.1 Existence of a Positive Solution via a Variational Formulation . .