sample of publications

• articles 

  • Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions.  Fractional Calculus and Applied Analysis.  26:305-335. 2023
  • Nonlinear Fractional Schrödinger Equations coupled by power-type nonlinearities.  Advances in Differential Equations.  28:113-142. 2023
  • On the motion of gravity-capillary waves with odd viscosity.  JOURNAL OF NONLINEAR SCIENCE.  32:1-33. 2022
  • Existence of bound and ground states for an elliptic system with double criticality.  NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS.  216:1-26. 2021
  • A Strong Maximum Principle for the fractional Laplace equation with mixed boundary condition.  Fractional Calculus and Applied Analysis.  24:1699-1715. 2021
  • Regularity of solutions to a fractional elliptic problem with mixed Dirichlet&-Neumann boundary data.  Advances in Calculus of Variations.  14:521-539. 2021
  • Bound and ground states of coupled "NLS-KDV" equations with Hardy potential and critical power.  ArXiv.org.  1-26. 2021
  • Existence of positive solutions for a Brezis-Nirenberg type problems involving an inverse operator.  Electronic Journal of Differential Equations.  2021:1-24. 2021
  • A restricted nonlocal operator bridging together the Laplacian and the fractional Laplacian.  CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS.  60:1-29. 2021
  • Spectral Stability for the Peridynamic Fractional p-Laplacian.  APPLIED MATHEMATICS AND OPTIMIZATION.  84(Supl. 1):253-276. 2021
  • Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions.  Fractional Calculus and Applied Analysis.  23:1208-1239. 2020
  • Positive solutions for semilinear fractional elliptic problems involving an inverse fractional operator.  NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS.  51. 2020
  • Homotopy regularization for a high-order parabolic equation.  Mediterranean Journal of Mathematics.  17. 2019
  • The Brezis-Nirenberg problem for the fractional Laplacian with mixed Dirichlet-Neumann boundary conditions.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  473:1002-1025. 2019
  • A method for K-Means seeds generation applied to text mining.  Statistical Methods and Applications.  25:477-499. 2016
  • Finite Sampling in Multiple Generated U-Invariant Subspaces.  IEEE TRANSACTIONS ON INFORMATION THEORY.  62:2203-2212. 2016
  • On the effect of boundaries in two-phase porous flow.  NONLINEARITY.  28:435-461. 2015

• conference contributions 

  • Fractional elliptic problems involving Inverse fractional operators.  353-353. 2019

• theses 

  • On Some elliptic problems involving powers of the Laplace operator