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  • 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 ...
  • Ballesteros, Juan J. Nuño; Fuster, M. Carmen Romero (Journal of Geometry, 1993-03)
  • 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 ...
  • Ballesteros, Juan J. Nuño; Fuster, M. Carmen Romero (Journal of Geometry, 1990-11)
  • 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) ...
  • Alves, Margareth; Sepúlveda, Mauricio; Vera, Octavio (Nonlinear Analysis: Theory, Methods & Applications, 2009-08-15)
    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 ...

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