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

Grant number: 11/00406-1
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): May 01, 2011
Effective date (End): 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


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.

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