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Qualitative properties for higher order and non-local PDEs arising in Differential Geometry

Grant number: 20/07566-3
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): February 01, 2021
Effective date (End): January 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Paolo Piccione
Grantee:João Henrique Santos de Andrade
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM

Abstract

In this project, we are concerned with some qualitative properties for solutions to higher order and nonlocal partial differential equations arising in differential geometry. More precisely, we are interested in local asymptotic behavior and multiplicity results for generalizations of the Yamabe and Allen-Cahn equations. (AU)

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