Research Grants 18/17264-4 - Equações diferenciais parciais, Métodos variacionais - BV FAPESP
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Existence of solutions for nonlinear elliptic equations

Grant number: 18/17264-4
Support Opportunities:Regular Research Grants
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
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)

Articles published in Agência FAPESP Newsletter about the research grant:
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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)
FIGUEIREDO, GIOVANY M.; SICILIANO, GAETANO. Normalized solutions for an horizontal transmission problem. APPLICABLE ANALYSIS, . (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, . (18/17264-4)
FIGUEIREDO, GIOVANY M.; SICILIANO, GAETANO. Normalized solutions for an horizontal transmission problem. APPLICABLE ANALYSIS, v. 100, n. 15, p. 3174-3181, . (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, . (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, . (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, . (18/17264-4)
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, . (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, . (18/17264-4)

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