Existence and multiplicity of solutions to elliptic equations and systems
Variational and Topological Methods for resonant elliptic problems
Introduction to variational methods to the study of elliptic PDEs
| Grant number: | 14/25398-0 |
| Support Opportunities: | Regular Research Grants |
| Duration: | September 01, 2015 - August 31, 2017 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Eugenio Tommaso Massa |
| Grantee: | Eugenio Tommaso Massa |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
It is largely known that the solvability of a semilinear elliptic problem depends strongly on the interaction of the nonlinearity with the spectrum of the operator. In this project we propose several lines of research that aim at establishing existence and multiplicity of solutions for semilinear and quaselinear elliptic problems, including systems, where the nonlinearity exhibits different behaviors with respect to the spectrum of the operator.Some of the proposed researches are new, while others are a continuation of previous works by the proponent and his collaborators. (AU)
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