Publications

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• PUBLICATIONS AT CONFERENCES
  1. Existence of solutions for a system with general Hardy-Sobolev singular criticalities,
     Cal. Var. 64, 131 (2025). Á. Arroyo, R. López-Soriano, A. Ortega.
     https://doi.org/10.1007/s00526-025-02990-y
  2. Pervasiveness of the p-Laplace operator under localization of fractional g-Laplace operators,
     J. Nonlinear Var. Anal. 9 (2025), 373-395. A. Ortega.
     https://doi.org/10.23952/jnva.9.2025.3.04
  3. New functional inequalities with applications to the arctan-fast diffusion equation,
      Mediterr. J. Math. (2025). R. Granero-Belinchón, M. Magliocca, A. Ortega. 
     https://doi.org/10.1007/s00009-025-02842-1
  4. Fractional Schrödinger systems coupled by Hardy-Sobolev critical terms, 
     Differ. Integral Equ. 38 (11/12), (November/December 2025). A. Ortega. 
     https://doi.org/10.57262/die038-1112-671
  5. On the Robin function for the fractional Laplacian on symmetric domains, 
     Bull. Iran. Math. Soc. 50, 4 (2024). A. Ortega
     https://doi.org/10.1007/s41980-023-00841-0
  6. Nonlinear elliptic systems involving Hardy-Sobolev Criticalities,
     Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 157 (2023). R. López-Soriano, A. Ortega.
     https://doi.org/10.1007/s13398-023-01490-y
  7. Subcritical nonlocal problems with mixed boundary conditions,
     Bull. Math. Sci. (2023), 23 pp. G. Molica-Bisci, A. Ortega, L. Vilasi. 
     https://doi.org/10.1142/S166436072350011X
  8. Bound and ground states of coupled NLS–KDV equations with Hardy potential and critical power,
     J. Differ. Equ. 365 (2023), 560-590. E. Colorado, R. López-Soriano, A. Ortega.
     https://doi.org/10.1016/j.jde.2023.04.033
  9. Concave-Convex critical problems for the spectral fractional Laplacian with mixed boundary conditions,
     Fract. Calc. Appl. Anal. 26 (2023), no. 1, 305-335. A. Ortega.
     https://doi.org/10.1007/s13540-022-00118-z
  10. Nonlinear Fractional Schrödinger Equations coupled by power-type nonlinearities, 
      Adv. Differential Equations 28 (2023), no. 1-2, 113-142. E. Colorado, A. Ortega.
      https://doi.org/10.57262/ade028-0102-113
  11. On the motion of gravity-capillary waves with odd viscosity,
      J. Nonlinear Sci. 32, 28 (2022). R. Granero-Belinchón, A. Ortega.
      https://doi.org/10.1007/s00332-022-09786-w
  12. Existence of bound and ground states for an elliptic system with double criticality,
      Nonlinear Anal. 216 (2022), Paper No. 112730. E. Colorado, R. López-Soriano, A.Ortega.
      https://doi.org/10.1016/j.na.2021.112730
  13. A Strong Maximum Principle for the fractional Laplace equation with mixed boundary condition,
      Fract. Calc. Appl. Anal. 24 (2021), no. 6, pp. 1699-1715. R. López-Soriano, A. Ortega.
      https://doi.org/10.1515/fca-2021-0073
  14. Existence of positive solutions for a Brezis-Nirenberg type problem involving an inverse operator,
      Electron. J. Differential Equations 2021, Paper No. 52, 24 pp. P. Álvarez- Caudevilla, E. Colorado, A. Ortega.
      ejde.math.txstate.edu
  15. Spectral stability for the peridynamic fractional p-Laplacian,
      Appl. Math. Optim. 84 (2021), suppl. 1, S253-276. J. C. Bellido, A. Ortega.
      https://doi.org/10.1007/s00245-021-09768-6
  16. A restricted nonlocal operator bridging together the Laplacian and the Fractional Laplacian,
      Calc. Var. Partial Differential Equations 60, 71 (2021). J. C. Bellido, A. Ortega.
      https://doi.org/10.1007/s00526-020-01896-1
  17. Regularity of solutions to a fractional elliptic problem with mixed Dirichlet–Neumann boundary data,
      Adv. Calc. Var. 14 (2021), no. 4, 521-539. J. Carmona, E. Colorado, T. Leonori, A. Ortega.
      https://doi.org/10.1515/acv-2019-0029
  18. Semilinear fractional elliptic problems with mixed Dirichlet–Neumann boundary conditions,
      Fract. Calc. Appl. Anal. 23 (2020), no. 4, pp. 1208-1239. J. Carmona, E. Colorado, T. Leonori, A. Ortega.
      https://doi.org/10.1515/fca-2020-0061
  19. Positive solutions for semilinear fractional elliptic problems involving an inverse fractional operator,
      Nonlinear Anal. Real World Appl. 51 (2020), 102960 21 pp. P. Álvarez- Caudevilla, E. Colorado, A. Ortega.
      https://doi.org/10.1016/j.nonrwa.2019.06.010
  20. Homotopy regularization for a high-order parabolic equation,
      Mediterr. J. Math. 17 (2020), no. 1, Paper No. 2, 18 pp. P. Álvarez-Caudevilla, A. Ortega.
      https://doi.org/10.1007/s00009-019-1424-9
  21. The Brezis-Nirenberg problem for the fractional Laplacian with mixed Dirichlet-Neumann boundary conditions,
      J. Math. Anal. Appl. 473 (2019), no. 2, 1002-1025. E. Colorado, A. Ortega.
      https://doi.org/10.1016/j.jmaa.2019.01.006
  22. Finite sampling in multiple generated U–invariant subspaces,
      IEEE Trans. Inform. Theory 62 (2016), no. 4, 2203-2212. A. García, H. Fernandez-Morales, M.J. Muñoz-Bouzo, A. Ortega.
      https://doi.org/10.1109/tit.2016.2531086
  23. A method for K-Means seeds generation applied to text mining,
      Stat. Methods Appl. 25 (2016), no. 3, 477-499. A. Ortega, J. Sueiras, D. Vélez, J. Vélez.
      https://doi.org/10.1007/s10260-015-0345-4
  24. On the effect of boundaries in two phase porous flow,
      Nonlinearity 28 (2015), no. 2, 435-461.
      R. Belinchón, G. Navarro, A. Ortega.
      https://doi.org/10.1088/0951-7715/28/2/435
• Preprints

  1. Nonlocal critical problems with mixed boundary conditions and nearly resonant perturbations,
     E. Colorado, G. Molica Bisci, A. Ortega, L. Vilasi. arXiv:2509.25581 [math.AP]

  2. Fractional critical systems with mixed boundary conditions,
     R. Kumar, A. Ortega.

  3. Positive solutions for a weighted critical problem with mixed boundary conditions,
     A. Ortega, L. Vilasi, Y. Wang. arXiv:2412.11497 [math.AP]

  4. Explicit solutions for the Poisson problem in a ball for the Logarithmic Laplacian,
     A. Ortega. doi.org/10.13140/RG.2.2.24109.60644