arXiv subjects

Paulo C. Carriao

Publications and source records attributed to Paulo C. Carriao.

2 recordsLinked to original sources

arXiv2012

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

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

math.AP↗

arXiv2009

Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents

In this paper we study the existence of radially symmetric solitary waves in R^N for the nonlinear Klein-Gordon equations coupled with the Maxwell's equations when the nonlinearity exhibits critical growth. The main feature of this kind of problem is the lack of compactness arising in connection with the use of variational methods.

math.AP↗