Quasilinear problems in Orlicz-Sobolev spaces

• Grant number: 18/11664-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: January 07, 2019
• End date: December 19, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Sergio Henrique Monari Soares
• Grantee: Sergio Henrique Monari Soares
• Visiting researcher: Jefferson Abrantes dos Santos
• Visiting researcher institution: Universidade Federal de Campina Grande (UFCG). Centro de Ciências e Tecnologia (CCT), Brazil
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project is dedicated to the study of three problems in Orlicz-Sobolev spaces. The first one is the study of the existence of solution to the critical case of the equation studied in [J. A. Santos, S. H. M. Soares, Radial solutions of quasilinear equations in Orlicz-Sobolev type spaces, J. Math. Anal. Appl. 428 (2015), 1035-1053]. In the second problem we intend to establish the classification (uniqueness and symmetric solution) for a Choquard equation. The third is dedicated to the study of a degenerate free frontier problem with volume control. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SANTOS, JEFFERSON ABRANTES; SOARES, SERGIO H. MONARI. Optimal design problems for a degenerate operator in Orlicz-Sobolev spaces. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v. 59, n. 6, p. 23-pg., 2020-10-08. (18/11664-0, 16/16745-3)