Locally coercive elliptic problems.

• Grant number: 18/12881-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2018
• End date: September 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Sergio Henrique Monari Soares
• Grantee: Jose Miguel Mendoza Aranda
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The central theme of this project is to study the existence and multiplicity of solutions for some classes of nonlinear elliptic problems, with origin in the physic-math. 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, among others. The proposed problems are based on problems studied during the doctorate of the candidate. 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.

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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, DEC 15 2019. (17/16108-6, 18/12881-5)

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, JUN 2020. (17/16108-6, 18/12881-5)

DE PAIVA, FRANCISCO ODAIR; ROSA, WALLISOM. CRITICAL NEUMANN PROBLEMS WITH ASYMMETRIC NONLINEARITY. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 56, n. 1, p. 11-pg., 2020-09-01. (18/12881-5)