Superlinear elliptic equations

• Grant number: 09/14218-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: February 01, 2010
• End date: December 01, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Sergio Henrique Monari Soares
• Grantee: Sergio Henrique Monari Soares
• Visiting researcher: Marco Aurelio Soares Souto
• Visiting researcher institution: Universidade Federal de Campina Grande (UFCG). Centro de Ciências e Tecnologia (CCT), Brazil
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The purpose of this project is to study superlinear elliptic problems without the Ambrosetti and Rabinowitz condition. We will be concerned with nontrivial solutions for Schrödinger-Maxwell systems, concentration of positive solutions of Schrödinger equations and periodic and asymptotically elliptic problems in RN. (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ALVES, CLAUDIANOR O.; SOUTO, MARCO A. S.. Existence of solutions for a class of elliptic equations in RN with vanishing potentials. Journal of Differential Equations, v. 252, n. 10, p. 5555-5568, MAY 15 2012. (09/14218-2)

ALVES, CLAUDIANOR O.; SOARES, SERGIO H. M.; SOUTO, MARCO A. S.. SCHRODINGER-POISSON EQUATIONS WITH SUPERCRITICAL GROWTH. Electronic Journal of Differential Equations, JAN 4 2011. (09/14218-2)

ALVES, CLAUDIANOR O.; SOARES SOUTO, MARCO AURELIO; SOARES, SERGIO H. M.. Schrodinger-Poisson equations without Ambrosetti-Rabinowitz condition. Journal of Mathematical Analysis and Applications, v. 377, n. 2, p. 584-592, MAY 15 2011. (09/14218-2)

ALVES, CLAUDIANOR O.; SOUTO, MARCO A. S.; MONTENEGRO, MARCELO. Existence of a ground state solution for a nonlinear scalar field equation with critical growth. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v. 43, n. 3-4, p. 537-554, MAR 2012. (09/14218-2)

ALVES, CLAUDIANOR O.; SOARES, SERGIO H. M.; SOUTO, MARCO A. S.. SCHRODINGER-POISSON EQUATIONS WITH SUPERCRITICAL GROWTH. Electronic Journal of Differential Equations, v. N/A, p. 11-pg., 2011-01-04. (09/14218-2)