Quasilinear elliptic problems involving 1-Laplacian operator with a general singular term

• Grant number: 22/06050-9
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: March 01, 2023
• End date: February 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Olimpio Hiroshi Miyagaki
• Grantee: Juan Carlos Ortiz Chata
• Supervisor: Luigi Orsina
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Università degli Studi di Roma La Sapienza, Italy
• Associated to the scholarship: 21/08272-6 - Quasilinear elliptic problems involving the weighted 1-laplacian operator, BP.PD

Abstract

In this project we propose the study of questions on existence of solutions of quasilinear elliptic problem, whose nonlinearity is the perturbation of a general singular term, which, in turn, is modeled in the space of functions of bounded variation. Some questions on the study of problems involving the 1-Laplacian operator and its generalizations are arised, in order to apply variational methods and throughp-laplacian type problems to obtain solutions. (AU)

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.)

CHATA, JUAN CARLOS ORTIZ; PETITTA, FRANCESCO. EXISTENCE, NONEXISTENCE, AND DEGENERACY OF LIMIT SOLUTIONS TO p-LAPLACE PROBLEMS INVOLVING HARDY POTENTIALS AS p → 1 ⁺. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v. 56, n. 6, p. 29-pg., 2024-01-01. (21/08272-6, 22/06050-9)

CHATA, JUAN C. ORTIZ. Hardy potential in existence and optimal summability in nonlinear elliptic equations. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 32, n. 2, p. 13-pg., 2025-03-01. (21/08272-6, 22/06050-9)