Problems involving the p-Finsler laplacian operator

• Grant number: 23/09149-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: January 08, 2024
• End date: April 07, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Olimpio Hiroshi Miyagaki
• Grantee: Olimpio Hiroshi Miyagaki
• Visiting researcher: Alannio Barbosa Nobrega
• Visiting researcher institution: Universidade Federal de Campina Grande (UFCG). Centro de Ciências e Tecnologia (CCT), Brazil
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

In this research project we intent to develop results of existence and multiplicityof solutions, as well as to do a qualitative study, to elliptic problems involving theFinsler pLaplacian operator H_p u = div (a(u)), where a(¾) = H^p1(¾)H(¾)for all ¾ R^N , and H(·) in a norm in R^N , this type of operator is classified as a anisotropic operator and it has attracted the attention of important researchers,both for the mathematical dificulty of this type of problem , as there is a widerange of applications for science in general. (AU)