Mendoza, Valentín(Topology and its Applications, 2014-08-15)
In this paper we deal with the Boyland forcing of horseshoe orbits. We prove that there exists a set R of renormalizable horseshoe orbits containing only quasi-one-dimensional orbits, that is, for these orbits the Boyland ...
Fassoni, A. C.; Martins, M. L.(Ecological Complexity, 2014-06)
Exotic plants threaten the biodiversity of natural habitats and the integrity of agricultural systems throughout the World. Therefore, understanding, predicting and controlling plant invasions became issues of great practical ...
Rosa, Valéria M.; Letelier, Patricio S.(General Relativity and Gravitation, 2007-06-16)
We study, in some detail, the linear stability of closed timelike curves in the Gödel universe. We show that these curves are stable. We present a simple extension (deformation) of the Gödel metric that contains a class ...
Miyagaki, O. H.; Souto, M. A. S.(Journal of Differential Equations, 2008-12-15)
Superlinear elliptic boundary value problems without Ambrosetti and Rabinowitz growth condition are considered. Existence of nontrivial solution result is established by combining some arguments used by Struwe and Tarantello ...
Miyagaki, O. H.; Assunção, R. B.; Carrião, P. C.(Nonlinear Analysis: Theory, Methods & Applications, 2007-03-15)
In this work we improve some known results for a singular operator and also for a wide class of lower-order terms by proving a multiplicity result. The proof is made by applying the generalized mountain-pass theorem due ...
Jesus, C. Mendes de; Hacon, D.; Fuster, M.C. Romero(Topology and its Applications, 2007-01-01)
We consider the problem of constructing stable maps from surfaces to the plane with branch set a given set of curves immersed (except possibly with cusps) in the plane. Various constructions are used (1) piecing together ...
Miyagaki, O. H.; Rodrigues, R. S.(Journal of Mathematical Analysis and Applications, 2007-10-15)
We study through the lower and upper-solution method, the existence of positive weak solution to the
quasilinear elliptic system with weights
⎧
⎪ −div(|x|−ap |∇u|p−2 ∇u) = λ|x|−(a+1)p+c1 uα v γ in Ω,
⎨
−div(|x|−bq ...
Miyagaki, Olimpio Hiroshi; Assuncao, Ronaldo B.; Carrião, Paulo Cesar(Applied Mathematics Letters, 2006-08)
In this work we deal with the class of critical singular quasilinear elliptic problems in R N of the form −div(|x|−ap |∇u| p−2 ∇u) = α|x|−bq |u|q−2 u + β|x|−dr k|u|r−2 u x ∈ RN , (P) where 1 < p < N, a < N/ p, a ≤ b < a + ...
Miyagaki, O. H.; Miotto, M. L.(Nonlinear Analysis: Theory, Methods & Applications, 2009-10-01)
In this paper, existence and multiplicity results to the following Dirichlet problem −∆u + u = λf (x)|u|q−1 + h(x)|u|p−1 ,
u > 0, u = 0, in Ω in Ω on ∂ Ω are established, where Ω = Ω × R, Ω ⊂ RN −1 is bounded smooth domain ...
Miyagaki, Olímpio H.; Soares, Sérgio H. M.; Ó, João M. B. do(Nonlinear Analysis: Theory, Methods & Applications, 2007-12-15)
Quasilinear elliptic equations in R2 of second order with critical exponential growth are considered. By using a change of variable, the quasilinear equations are reduced to semilinear equations, whose respective associated ...
Miyagaki, O. H.; Rodrigues, R. S.(Nonlinear Analysis: Theory, Methods & Applications, 2009-01-01)
This paper deals with the existence and nonexistence of positive weak solutions of degenerate quasilinear elliptic systems with
subcritical and critical exponents. The nonlinearities involved have semipositone and positone ...
Miyagaki, O. H.; Alves, M. J.; Carrião, P. C.(Journal of Mathematical Analysis and Applications, 2008-08-01)
This paper is concerned with the existence of two positive solutions for a class of quasilinear elliptic equations on R involving
the p-Laplacian, with a non-autonomous perturbation. The first solution is obtained as a ...
Moraes, S. M.; Costa, S. I. R.; Romero-Fuster, M. C.(Differential Geometry and its Applications, 2008-12-02)
We study the extrinsic geometry of surfaces immersed in R^ n , n ≥ 5 by analyzing their contacts with different standard geometrical models, such as hyperplanes and hyperspheres. We investigate the relation between different ...
Alves, Margareth S.; Raposo, Carlos Alberto; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio A.; Villagrán, Octavio Paulo Vera(Journal of Mathematical Analysis and Applications, 2010-09-01)
In this paper we study the transmission for a partially viscoelastic beam, that is, a beam which is composed of two components, elastic and viscoelastic. In the rotation angle of the filaments of the beam, ψ1(x,t) and ...
Araujo, Anderson L.A. de; Magalhães, Paulo Marcelo Dias De(Journal of Mathematical Analysis and Applications, 2015-01-01)
In this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived.
Araujo, Anderson L. A. de; Boldrini, José Luiz; Calsavara, Bianca Morelli Rodolfo(Journal of Mathematical Analysis and Applications, 2016-12-01)
We consider a system of nonlinear partial differential equations corresponding to a generalization of a mathematical model for geographical spreading of dengue disease proposed in the article by Maidana and Yang (2008) ...
We study local and global existence and smoothing properties for the initial value problem associated to a higher-order nonlinear Schrödinger equation with constant coefficients which appears as a model for propagation of ...
Alves, Margareth S.; Rivera, Jaime E. Muñoz; Sepúlveda, Mauricio A.; Villagrán, Octavio Paulo Vera(International Journal of Solids and Structures, 2009-12-01)
In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability ...