Departamento de Matemática

Nov 19, 2024 | link.springer.com | Departamento de Matemática |Universidade de Brasília

AbstractThis paper investigates the degenerate non-local boundary value problem of logistic type $$ \left\{ \begin{array}{l} -\Delta u = \lambda u - b(x)u^p - a(x) u\displaystyle \int _\Omega c(y)|u(y)|^r\,dy \quad \hbox {in}\;\; \Omega , \\ u>0 \quad \text{ in }\;\; \Omega ,\ \ u=0 \quad \text{ on }\;\; \partial \Omega , \end{array} \right.

May 12, 2024 | link.springer.com | Departamento de Matemática

AbstractIn this paper, we investigate equigeodesics on a compact homogeneous space \(M=G/H.\) We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of M and the Lie structure of the Lie algebra of G. Applications to M-spaces are also discussed. This is a preview of subscription content, to check access. Price excludes VAT (USA) Tax calculation will be finalised during checkout.

Apr 12, 2024 | link.springer.com | Facultat de Ciències |Tecnologia i Enginyeries |Universitat de Vic |Departamento de Matemática

AbstractLet \(P_3(x,y)\) and \(Q_3(x,y)\) be polynomials of degree three without constant or linear terms. We characterize the global centers of all polynomial differential systems of the form \(\dot{x} = y+ P_3(x,y)\), \(\dot{y} =Q_3(x,y)\) that are reversible and invariant with respect to the x-axis. This is a preview of subscription content, to check access. Price excludes VAT (USA) Tax calculation will be finalised during checkout.

Jun 5, 2023 | academic.oup.com | Departamento de Matemática |Av. Antônio Carlos |Belo Horizonte

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