sample of publications

• articles 

  • A stationary population model with an interior interface-type boundary.  NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS.  73,103918:1-26. 2023
  • Asymptotic behavior of cooperative systems involving p-Laplacian operators.  Electronic Journal of Differential Equations.  2022:1-23. 2022
  • On a class of linear cooperative systems with spatio-temporal degenerate potentials.  Mediterranean Journal of Mathematics.  18:249. 2021
  • Existence of positive solutions for a Brezis-Nirenberg type problems involving an inverse operator.  Electronic Journal of Differential Equations.  2021:1-24. 2021
  • Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials.  ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS.  26:1-20. 2020
  • Positive solutions for semilinear fractional elliptic problems involving an inverse fractional operator.  NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS.  51:1-21. 2020
  • Homotopy regularization for a high-order parabolic equation.  Mediterranean Journal of Mathematics.  17:1-16. 2020
  • Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.  38:3913-3938. 2018
  • A higher order system of some coupled nonlinear Schrödinger and Korteweg-de Vries equations.  JOURNAL OF MATHEMATICAL PHYSICS.  58:111503-1-111503-13. 2017
  • On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities.  NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS.  152:12-37. 2017
  • Countable Families of solutions of a limit sationay semilinear fourth-order cahn-hillard-type equation I. Mountain pass and Lusternik-Schirel 'man patterns in R^N.  Boundary Value Problems.  2016:1-25. 2016
  • Blow-up scaling and global behaviour of solutions of the bi-Laplace equation via pencil operators.  COMMUNICATIONS ON PURE AND APPLIED ANALYSIS.  15:261-286. 2016
  • Towards optimal regularity for the fourth-order thin film equation in RN: Graveleau-type focusing self-similarity.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  431:1099-1123. 2015
  • Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches.  NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS.  121:19-35. 2015
  • Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrodinger equations.  NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS.  23:78-93. 2015
  • Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation.  Electronic Journal of Differential Equations.  2015:1-29. 2015
  • The Cauchy problem for a tenth-order thin film equation II. Oscillatory source-type and fundamental similarity solutions.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.  35:807-827. 2015
  • The p-Laplace equation in domains with multiple crack section via pencil operators.  ADVANCED NONLINEAR STUDIES.  15:91-116. 2015
  • Qualitative analysis of a cooperative reaction-diffusion system in a spatiotemporally degenerate environment.  SIAM JOURNAL ON MATHEMATICAL ANALYSIS.  46:499-531. 2014
  • The Cauchy problem for a tenth-order thin film equation I. Bifurcation of oscillatory fundamental solutions.  Mediterranean Journal of Mathematics.  10:1761-1792. 2013
  • Variational approach for a class of cooperative systems.  NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS.  75:5620-5638. 2012
  • Steady states, global existence and blow-up for fourth-order semilinear parabolic equations of Cahn-Hilliard type.  ADVANCED NONLINEAR STUDIES.  12:315-361. 2012
  • Local bifurcation analysis of global and "blow-up" patterns for a fourth-order thin film equation.  NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS.  18:483-537. 2011
  • Asymptotic Analysis for Some Linear Eigenvalue Problems Via Gamma-Convergence.  Advances in Differential Equations.  15:649-688. 2010

• conference contributions 

  • Prácticas de Matlab para visualización práctica de las Ecuaciones Diferenciales 2022
  • Fractional elliptic problems involving Inverse fractional operators.  353-353. 2019
  • Dynamical behaviour of several problems with heterogeneities 2017
  • Optimal regularity for a fourth-order thin film equation in R^N 2017
  • Optimal regularity for a fourth-order thin film equation in R^N. 2016
  • Existence and multiplicity of stationary solutions a Cahn--Hilliard-type equation in RN.  10-18. 2015
  • Existence and multiplicity results of fourth-order semilinear parabolic equations of Cahn&-Hilliard type 2015
  • Existence and multiplicity results of fourth-order semilinear parabolic equations of Cahn-Hilliard type 2015
  • Existence and Multiplicity Results of Fourth-Order Semilinear Parabolic Equations of Cahn-Hilliard Type.  79. 2014
  • Existence and multiplicity results of Fourth-Order Semilinear Parabolic Equations of Cahn&-Hilliard Type.  79. 2014
  • Aspects of Higher Order Differential Equations 2011
  • The Cauchy Problem for a Fourth-Order Thin Film Equation 2011
  • The Cauchy Problem for a Fourth-Order Thin Film Equation 2011
  • The Cauchy Problem of a Fourth-Order Thin Film Equation 2011
  • The Cauchy Problem of a Fourth-Order Thin Film Equation 2011
  • The Cauchy Problem of a Fourth-Order Thin Film Equation 2011