Research Grants 18/11664-0 - Equações diferenciais parciais, Equações diferenciais parciais elítica - BV FAPESP
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Quasilinear problems in Orlicz-Sobolev spaces

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)

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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., . (18/11664-0, 16/16745-3)

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