Scholarship 24/02669-0 - Métodos variacionais, Equações diferenciais parciais elíticas - BV FAPESP
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Study of mean curvature problems by elliptic regularization

Grant number: 24/02669-0
Support Opportunities:Scholarships in Brazil - Master
Start date until: August 01, 2024
End date until: February 28, 2026
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Marcos Tadeu de Oliveira Pimenta
Grantee:Mariele Vaz Quiraldello
Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
Associated research grant:22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations, AP.TEM
Associated scholarship(s):24/17547-7 - Topological methods applied to elliptic problems involving the mean-curvature operator, BE.EP.MS

Abstract

In this project we aim to study elliptic problems involving the mean curvature operator, through an elliptic regularization process. Such an approach has been used by some authors, in actual and interesting works. Still, we aim to give an original contribution to the literature in this field, by the study of the existence of nontrivial solutions to capillary problems.

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