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Elliptic equations and systems with several kinds of interaction with the spectrum

Grant number: 14/25398-0
Support Opportunities:Regular Research Grants
Duration: September 01, 2015 - August 31, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Eugenio Tommaso Massa
Grantee:Eugenio Tommaso Massa
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

It is largely known that the solvability of a semilinear elliptic problem depends strongly on the interaction of the nonlinearity with the spectrum of the operator. In this project we propose several lines of research that aim at establishing existence and multiplicity of solutions for semilinear and quaselinear elliptic problems, including systems, where the nonlinearity exhibits different behaviors with respect to the spectrum of the operator.Some of the proposed researches are new, while others are a continuation of previous works by the proponent and his collaborators. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (9)
(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)
MASSA, EUGENIO; PERON, ANA PAULA; PORCU, EMILIO. Positive Definite Functions on Complex Spheres and their Walks through Dimensions. Symmetry Integrability and Geometry-Methods and Applications, v. 13, . (14/25398-0, 14/25796-5, 16/03015-7)
CALANCHI, MARTA; MASSA, EUGENIO; RUF, BERNHARD. WEIGHTED TRUDINGER-MOSER INEQUALITIES AND ASSOCIATED LIOUVILLE TYPE EQUATIONS. Proceedings of the American Mathematical Society, v. 146, n. 12, p. 5243-5256, . (14/25398-0)
MASSA, EUGENIO; ROSSATO, RAFAEL ANTONIO. THREE SOLUTIONS FOR AN ELLIPTIC SYSTEM NEAR RESONANCE WITH THE PRINCIPAL EIGENVALUE. DIFFERENTIAL AND INTEGRAL EQUATIONS, v. 30, n. 3-4, p. 207-230, . (10/06411-4, 14/25398-0)
ITURRIAGA, LEONELO; MASSA, EUGENIO. Sobolev versus Holder local minimizers in degenerate Kirchhoff type problems. Journal of Differential Equations, v. 269, n. 5, p. 4381-4405, . (19/19699-0, 14/25398-0)
ITURRIAGA, LEONELO; MASSA, EUGENIO. On necessary conditions for the comparison principle and the sub- and supersolution method for the stationary Kirchhoff equation. Journal of Mathematical Physics, v. 59, n. 1, . (14/25398-0)
ITURRIAGA, LEONELO; LORCA, SEBASTIAN; MASSA, EUGENIO. MULTIPLE POSITIVE SOLUTIONS FOR THE M-LAPLACIAN AND A NONLINEARITY WITH MANY ZEROS. DIFFERENTIAL AND INTEGRAL EQUATIONS, v. 30, n. 1-2, p. 145-159, . (14/25398-0)
MASSA, E.; PERON, A. P.; PIANTELLA, A. C.. Estimates on the derivatives and analyticity of positive definite functions on R-m. ANALYSIS MATHEMATICA, v. 43, n. 1, p. 89-98, . (14/25796-5, 14/25398-0)
ITURRIAGA, LEONELO; MASSA, EUGENIO. EXISTENCE, NONEXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR THE POLY-LAPLACIAN AND NONLINEARITIES WITH ZEROS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 38, n. 8, p. 3831-3850, . (14/25398-0)
CASTRO, MARIO H.; MASSA, EUGENIO; PERON, ANA PAULA. Characterization of Strict Positive Definiteness on products of complex spheres. POSITIVITY, v. 23, n. 4, p. 853-874, . (16/03015-7, 14/25796-5, 14/25398-0, 16/09906-0)

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