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Elliptic problems by variational and topological methods

Grant number: 17/16108-6
Support Opportunities:Regular Research Grants
Duration: November 01, 2017 - October 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Francisco Odair Vieira de Paiva
Grantee:Francisco Odair Vieira de Paiva
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated researchers:Adilson Eduardo Presoto ; Lynnyngs Kelly Arruda Saraiva de Paiva

Abstract

The central theme of this project is to study the existence and multiplicity of solutions for some classes of nonlinear elliptic problems, originated in the mathematical-physics. To solve these problems, we propose to combine variational and topological techniques; and techniques from the study of differential equations: sub-super solutions, a-priori estimates, Nehari manifold, among others. The proposed problems are based on papers that we published in recent years. As is natural in mathematical research, many questions related to possible generalizations of the results are open. Thus, we intend to try to answer these questions. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

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)
DE PAIVA, FRANCISCO ODAIR; DE SOUZA LIMA, SANDRA MACHADO; MIYAGAKI, OLIMPIO HIROSHI. Existence and Multiplicity Results for a Class of Nonlinear Schrodinger Equations with Magnetic Potential Involving Sign-Changing Nonlinearity. ANALYSIS IN THEORY AND APPLICATIONS, v. 38, n. 2, p. 30-pg., . (19/24901-3, 17/16108-6)
ARCOYA, DAVID; DE PAIVA, FRANCISCO ODAIR; MENDOZA, JOSE M.. Existence of solutions for a nonhomogeneous elliptic Kircchoff type equation. Journal of Mathematical Analysis and Applications, v. 480, n. 2, . (17/16108-6, 18/12881-5)
DE PAIVA, FRANCISCO ODAIR; DE SOUZA LIMA, SANDRA MACHADO; MIYAGAKI, OLIMPIO HIROSHI. Nehari manifold for a Schrodinger equation with magnetic potential involving sign-changing weight function. APPLICABLE ANALYSIS, v. N/A, p. 28-pg., . (17/16108-6, 19/24901-3)
FERREIRA, FABIANA MARIA; DE PAIVA, FRANCISCO ODAIR. ON A RESONANT AND SUPERLINEAR ELLIPTIC SYSTEM. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 39, n. 10, p. 5775-5784, . (17/16108-6)
ARCOYA, DAVID; DE PAIVA, FRANCISCO ODAIR; MENDOZA, JOSE M.. Existence of solutions for a nonhomogeneous semilinear elliptic equation. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 195, . (17/16108-6, 18/12881-5)

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