Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials

Abstract

This paper deals with the Klein-Gordon-Maxwell system when the nonlinearity exhibits critical growth. We prove the existence of positive ground state solutions for this system when a periodic potential V is introduced. The method combines the minimization of the corresponding Euler-Lagrange functional on the Nehari manifold with the Brézis and Nirenberg technique

13 pages

References in corpus (3)

• Ground state solutions to the nonlinear Schrodinger-Maxwell equations
• The Intergalactic Stellar Population from Mergers of Elliptical Galaxies with Dark Matter halos
• Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents