Existence and multiplicity of solutions for Klein-Gordon-Maxwell equations

• Grant number: 11/00406-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2011
• End date: February 29, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Sergio Henrique Monari Soares
• Grantee: Patrícia Leal da Cunha
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project is devoted to study the Klein-Gordon-Maxwell systems. The goal is to prove the existence of positive solutions for Klein-Gordon-Maxwell systems involving a nonlinear term with supercritical growth. Moreover, we intend to establish the existence of sign-changing solutions for Klein-Gordon-Maxwell systems with critical or supercritical growth.