Existence of solutions for nonlinear elliptic equations

• Grant number: 18/17264-4
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2019
• End date: January 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Gaetano Siciliano
• Grantee: Gaetano Siciliano
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• City of the host institution: São Paulo
• Associated researchers: Giovany de Jesus Malcher Figueiredo ; Jacopo Bellazzini ; João Rodrigues dos Santos Júnior ; Marcos Tadeu de Oliveira Pimenta ; Pietro dAvenia ; Uberlandio Batista Severo

Abstract

We want to address the existence of solutions for some nonlinear elliptic equations, possibly having a nonlocal term. These equations have applications in physics, engineering and other applied sciences. (AU)

Scientific publications

(8)

(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)

LIU, ZHISU; SICILIANO, GAETANO. A perturbation approach for the Schrodinger-Born-Infeld system: Solutions in the subcritical and critical case. Journal of Mathematical Analysis and Applications, v. 503, n. 2, NOV 15 2021. (18/17264-4, 19/27491-0, 16/23746-6)

FIGUEIREDO, GIOVANY M.; SEVERO, UBERLANDIO B.; SICILIANO, GAETANO. Multiplicity of Positive Solutions for a Quasilinear Schrodinger Equation with an Almost Critical Nonlinearity. ADVANCED NONLINEAR STUDIES, v. 20, n. 4, p. 933-963, NOV 2020. (18/17264-4)

FIGUEIREDO, GIOVANY M.; SICILIANO, GAETANO. Normalized solutions for an horizontal transmission problem. APPLICABLE ANALYSIS, JAN 2020. (18/17264-4)

GONZALO MURCIA, EDWIN; SICILIANO, GAETANO. Least energy radial sign-changing solution for the Schrodinger-Poisson system in R-3 under an asymptotically cubic nonlinearity. Journal of Mathematical Analysis and Applications, v. 474, n. 1, p. 544-571, JUN 1 2019. (18/17264-4)

SANTOS, JR., J. R.; SICILIANO, G.. On a generalized Timoshenko-Kirchhoff equation with sublinear nonlinearities. Journal of Mathematical Analysis and Applications, v. 480, n. 2, DEC 15 2019. (18/17264-4)

D'AVENIA, PIETRO; SICILIANO, GAETANO. Nonlinear Schrodinger equation in the Bopp-Podolsky electrodynamics: Solutions in the electrostatic case. Journal of Differential Equations, v. 267, n. 2, p. 1025-1065, JUL 5 2019. (18/17264-4)

BILIOTTI, LEONARDO; SICILIANO, GAETANO. A group theoretic proof of a compactness lemma and existence of nonradial solutions for semilinear elliptic equations. Annali di Matematica Pura ed Applicata, v. 200, n. 2, JUL 2020. (18/17264-4)

FIGUEIREDO, GIOVANY M.; SICILIANO, GAETANO. Normalized solutions for an horizontal transmission problem. APPLICABLE ANALYSIS, v. 100, n. 15, p. 3174-3181, NOV 18 2021. (18/17264-4)