Dr. Álvaro Pámpano Publications Presentations Teaching Research Gallery


  Publications


  1. B. Palmer and A. Pámpano, Hyperbolic Geometry and the Helfrich Functional, submitted.

    Available at:  ArXiv: 2502.12434 [math.DG]


  2. R. López, B. Palmer and A. Pámpano, Axially Symmetric Helfrich Spheres, submitted.

    Available at:  ArXiv: 2501.15668 [math.DG]


  3. A. Pámpano, Characterization of Rotational Biconservative Hypersurfaces, to appear in Contemporary Mathematics.


  4. E. Musso and A. Pámpano, Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 21-9 (2025), 18.

    Available at:  ArXiv: 2312.10765 [math.DG]


  5. A. Pámpano, M. Samarakkody and H. Tran, Closed p-Elastic Curves in Spheres of 𝕃³, Journal of Mathematical Analysis and Applications 545-2 (2025), 129147.

    Available at:  ArXiv: 2404.08593 [math.DG]


  6. E. Musso and A. Pámpano, Integrable Flows on Null Curves in the Anti-de Sitter 3-Space, Nonlinearity 37 (2024), 115015.

    Available at:  ArXiv: 2311.11137 [math.DG]


  7. B. Palmer and A. Pámpano, Stability of Membranes, Journal of Geometric Analysis 34 (2024), 328.

    Available at:  ArXiv: 2401.05285 [math.DG]


  8. A. Pámpano, Generalized Elastic Translating Solitons, Proceedings of the American Mathematical Society 152-4 (2024), 1743-1753.

    Available at:  ArXiv: 2211.04603 [math.DG]


  9. B. Palmer and A. Pámpano, Symmetry Breaking Bifurcation of Membranes with Boundary, Nonlinear Analysis 238 (2024), 113393.

    Available at:  ArXiv: 2206.10971 [math.DG]


  10. S. Montaldo and A. Pámpano, On the Existence of Closed Biconservative Surfaces in Space Forms, Communications in Analysis and Geometry 31-2 (2023), 291-319.

    Available at:  ArXiv: 2009.03233 [math.DG]


  11. A. Gruber, A. Pámpano and M. Toda, Instability of Closed p-Elastic Curves in 𝕊², Analysis and Applications 21-6 (2023), 1533-1559.

    Available at:  ArXiv: 2209.11597 [math.DG]


  12. E. Musso and A. Pámpano, Closed 1/2-Elasticae in the Hyperbolic Plane, Journal of Mathematical Analysis and Applications 527-1 (2023), 127388.

    Available at:  ArXiv: 2302.03378 [math.DG]


  13. A. Gruber, A. Pámpano and M. Toda, On p-Willmore Disks with Boundary Energies, Differential Geometry and its Applications 86 (2023), 101971.

    Available at:  ArXiv: 2110.14778 [math.DG]


  14. R. López and A. Pámpano, A Relation Between Cylindrical Critical Points of Willmore-Type Energies, Weighted Areas and Vertical Potential Energies, Journal of Geometry and Physics 185 (2023), 104731.

    Available at:  ArXiv: 2206.01070 [math.DG]


  15. E. Musso and A. Pámpano, Closed 1/2-Elasticae in the 2-Sphere, Journal of Nonlinear Science 33 (2023), 3.

    Available at:  ArXiv: 2204.01096 [math.DG]


  16. S. Montaldo, C. Oniciuc and A. Pámpano, Closed Biconservative Hypersurfaces in Spheres, Journal of Mathematical Analysis and Applications 518-1 (2023), 126697.

    Available at:  ArXiv: 2201.11169 [math.DG]


  17. A. Pámpano, Minimal Surfaces Bounded by Elastic Curves, AIP Conference Proceedings 2425 (2022), 330002.

    Available at:  Link


  18. B. Palmer and A. Pámpano, The Euler-Helfrich Functional, Calculus of Variations and Partial Differential Equations 61 (2022), 79.

    Available at:  ArXiv: 2107.12500 [math.DG]


  19. R. López and A. Pámpano, Stationary Soap Films with Vertical Potentials, Nonlinear Analysis 215 (2022), 112661.

    Available at:  ArXiv: 2111.03293 [math.DG]


  20. S. Montaldo and A. Pámpano, Triharmonic Curves in 3-Dimensional Homogeneous Spaces, Mediterranean Journal of Mathematics 18-5 (2021), 198.

    Available at:  ArXiv: 2008.10571 [math.DG]


  21. S. Montaldo and A. Pámpano, Totally Biharmonic Hypersurfaces in Space Forms and 3-Dimensional BCV Spaces, International Journal of Mathematics 32-4 (2021), 2150025.

    Available at:  ArXiv: 1911.02625 [math.DG]


  22. A. Gruber, A. Pámpano and M. Toda, Regarding the Euler-Plateau Problem with Elastic Modulus, Annali di Matematica Pura ed Applicata (1923 - ) 200-5 (2021), 2263-2283.

    Available at:  ArXiv: 2010.00149 [math.DG]


  23. B. Palmer and A. Pámpano, Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries, Journal of Nonlinear Science 31 (2021), 23.

    Available at:  ArXiv: 2010.16378 [math.DG]


  24. B. Palmer and A. Pámpano, Minimal Surfaces with Elastic and Partially Elastic Boundary, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 151-4 (2021), 1225-1246.

    Available at:  ResearchGate


  25. A. Pámpano, Willmore-Like Energies and Elastic Curves with Potential, Geometry, Integrability and Quantization 21 (2020), 232-241.

    Available at:  Link


  26. A. Pámpano, Critical Tori for Mean Curvature Energies in Killing Submersions, Nonlinear Analysis 200 (2020), 112092.

    Available at:  ArXiv: 2109.10315 [math.DG]


  27. R. López and A. Pámpano, Classification of Rotational Surfaces with Constant Skew Curvature in 3-Space Forms, Journal of Mathematical Analysis and Applications 489-2 (2020), 124195.

    Available at:  ArXiv: 2005.07671 [math.DG]


  28. B. Palmer and A. Pámpano, Classification of Planar Anisotropic Elasticae, Growth and Form 1-1 (2020).

    Available at:  ResearchGate


  29. B. Palmer and A. Pámpano, Anisotropic Bending Energies of Curves, Annals of Global Analysis and Geometry 57-2 (2020), 257-287.

    Available at:  ResearchGate


  30. R. López and A. Pámpano, Classification of Rotational Surfaces in Euclidean Spaces Satisfying a Linear Relation Between their Principal Curvatures, Mathematische Nachrichten 293-4 (2020), 735-753.

    Available at:  ArXiv: 1808.07566 [math.DG]


  31. R. López and A. Pámpano, Rotational Surfaces of Constant Astigmatism in Space Forms, Journal of Mathematical Analysis and Applications 483-1 (2020), 123602.

    Available at:  ArXiv: 2005.07689 [math.DG]


  32. A. Pámpano, A Variational Characterization of Profile Curves of Invariant Linear Weingarten Surfaces, Differential Geometry and its Applications 68 (2020), 101564.


  33. J. Arroyo, O. J. Garay and A. Pámpano, Boundary Value Problems for Euler-Bernoulli Planar Elastica. A Solution Construction Procedure, Journal of Elasticity 139-2 (2020), 359-388.


  34. A. Pámpano, Visual Curve Completion and Rotational Surfaces of Constant Negative Curvature, to appear in Journal of Mathematical Sciences (2019).

    Available at:  ArXiv: 1907.05696 [math.DG]


  35. O. J. Garay and A. Pámpano, A Note on p-Elasticae and the Generalized EMP Equation, Preprint (2019).


  36. J. Arroyo, O. J. Garay and A. Pámpano, Delaunay Surfaces in 𝕊³(ρ), Filomat 33-4 (2019), 1191-1200.


  37. A. Pámpano, Planar p-Elasticae and Rotational Linear Weingarten Surfaces, Geometry, Integrability and Quantization 20 (2019), 227-238.

    Available at:  Link


  38. M. Barros, O. J. Garay and A. Pámpano, Willmore-Like Tori in Killing Submersions, Advances in Mathematical Physics 2018 (2018).


  39. J. Arroyo, O. J. Garay and A. Pámpano, Constant Mean Curvature Invariant Surfaces and Extremals of Curvature Energies, Journal of Mathematical Analysis and Applications 462-2 (2018), 1644-1668.


  40. A. Pámpano, Binormal Evolution of Blaschke's Curvature Energy Extremals in the Minkowski 3-Space, Differential Geometry in Lorentz-Minkowski Space, Ed. Univ. Granada (2017), 115-123.


  41. J. Arroyo, O. J. Garay and A. Pámpano, Binormal Motion of Curves with Constant Torsion in 3-Spaces, Advances in Mathematical Physics 2017 (2017).


  42. J. Arroyo, O. J. Garay and A. Pámpano, Curvature-Dependent Energies Minimizers and Visual Curve Completion, Nonlinear Dynamics 86 (2016), 1137-1156.

    Available at:  ResearchGate


  43. O. J. Garay and A. Pámpano, Binormal Evolution of Curves with Prescribed Velocity, WSEAS Transactions on Fluid Mechanics 11 (2016), 112-120.


  44. J. Arroyo, O. J. Garay and A. Pámpano, Extremal Curves of a Total Curvature Type Energy, Non-linear Systems, Nanotechnology, WSEAS Press 55 (2015), 103-112.


  45. O. J. Garay, A. Pámpano and C. Woo, Hypersurface Constrained Elasticae in Lorentzian Space Forms, Advances in Mathematical Physics 2015 (2015).