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Variational and Topological Methods for resonant elliptic problems

Grant number: 13/22044-0
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): March 01, 2014
Effective date (End): February 28, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Francisco Odair Vieira de Paiva
Grantee:Jose Miguel Mendoza Aranda
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated scholarship(s):15/14776-6 - Superlinear Elliptic Problems of the Ambrosetti-Prodi type, BE.EP.DR

Abstract

The central theme of this project is to study the existence and multiplicity of solutions for various classes of nonlinear elliptic problems (equations ordinary differential equationspartial and systems of equations). To solve such problems it is intended to combine variational techniques (critical theory, theorems link) and topological (Morse theory, degree topological); and techniques from the study of differential equations: sub-super-solutions, a priori estimates, among others.Many of the issues to be presented are based on papers that published in recent years. Of course in mathematical research, many questions related to possible generalizations of the results were open. We aim to answer some of these issues.

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Scientific publications
(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)
MENDOZA, JOSE M. EXISTENCE OF SOLUTIONS FOR A NONHOMOGENEOUS SEMILINEAR FRACTIONAL LAPLACIAN PROBLEMS. HOUSTON JOURNAL OF MATHEMATICS, v. 45, n. 2, p. 589-599, 2019. Web of Science Citations: 1.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.