Research

Published & Accepted

  1. 2026
  2. Nonhomothetic complete periodic metrics with constant scalar curvature
    (with J. S. Case, P. Piccione, J. Wei)
    Proc. Amer. Math. Soc. 154 (2026), 4505–4518.
    DOI arXiv bib
  3. A general nonuniqueness result for Yamabe-type problems for conformally variational Riemannian invariants
    (with J. S. Case, P. Piccione, J. Wei)
    J. Geom. Anal. 36 (2026), Article 352.
    DOI arXiv bib
  4. From bubbles to clusters: Multiple solutions to the Allen–Cahn system
    (with D. Corona, S. Nardulli, P. Piccione, R. Ponciano)
    J. Differential Equations 464 (2026), Paper No. 114189, 43 pp.
    DOI arXiv bib
  5. 2025
  6. Asymptotics for positive singular solutions to subcritical sixth order equations
    (with J. Wei)
    Nonlinear Anal. 255 (2025), Paper No. 113757, 28 pp.
    DOI arXiv bib
  7. 2024
  8. Compactness of singular solutions to the sixth order GJMS equation
    (with J. M. do Ó, J. Ratzkin, J. Wei)
    Math. Ann. 391 (2024), 4881–4909.
    DOI arXiv bib
  9. Asymptotics for singular solutions to conformally invariant fourth order systems in the punctured ball
    (with J. M. do Ó)
    J. Differential Equations 413 (2024), 190–239.
    DOI arXiv bib
  10. Constant Q-curvature metrics with Delaunay ends: the nondegenerate case
    (with R. Caju, J. M. do Ó, J. Ratzkin, A. S. Santos)
    Ann. Sc. Norm. Super. Pisa Cl. Sci. 25 (2024), no. 2, 965–1031.
    DOI arXiv bib
  11. Multiplicity of solutions to the multiphasic Allen–Cahn–Hilliard system with a small volume constraint on closed parallelizable manifolds
    (with J. Conrado, S. Nardulli, P. Piccione, R. Resende)
    J. Funct. Anal. 286 (2024), no. 7, Paper No. 110345, 61 pp.
    DOI arXiv bib
  12. Complete metrics with constant fractional higher order Q-curvature on the punctured sphere
    (with J. Wei, Z. Ye)
    J. Geom. Anal. 34 (2024), no. 1, Paper No. 6, 77 pp.
    DOI arXiv bib
  13. 2023
  14. Some results on strongly coupled systems
    (with J. M. do Ó)
    Mat. Contemp. 54 (2023), 157–172.
    DOI bib
  15. Qualitative properties for solutions to conformally invariant fourth order critical systems
    (with J. M. do Ó)
    Discrete Contin. Dyn. Syst. 43 (2023), no. 8, 3008–3042.
    DOI arXiv bib
  16. 2022
  17. Qualitative properties for solutions to subcritical fourth order systems
    (with J. M. do Ó)
    Nonlinearity 35 (2022), no. 10, 5249–5296.
    DOI arXiv bib
  18. Compactness within the space of complete, constant Q-curvature metrics on the sphere with isolated singularities
    (with J. M. do Ó, J. Ratzkin)
    Int. Math. Res. Not. IMRN (2022), no. 21, 17282–17302.
    DOI arXiv bib

Submitted & Preprints

  1. 2026
  2. Delaunay solutions to the fractional Hartree equation with critical growth (2026)
    (with T. Feng, P. Piccione, M. Yang)
    arXiv bib
  3. Existence of Yamabe stability optimizers (2026)
    (with T. König, J. Ratzkin, J. Wei)
    arXiv bib
  4. Quantitative stability for the Trudinger–Moser inequality (2026)
    (with J. F. de Oliveira, J. M. do Ó, A. C. Macedo, J. Ratzkin)
    arXiv bib
  5. Survey on topological methods for Allen–Cahn equations and systems (2026)
    (with S. Nardulli, R. Ponciano)
    arXiv bib
  6. 2025
  7. Classification of fractional, singular Yamabe metrics on a twice punctured sphere I (2025)
    (with A. DelaTorre, J. M. do Ó, J. Ratzkin, J. Wei)
    arXiv bib
  8. Local asymptotics for singular solutions to critical Hartree equations (2025)
    (with T. Feng, P. Piccione, M. Yang)
    arXiv bib
  9. 2024
  10. Quantitative stability of the total Q-curvature near minimizing metrics (2024)
    (with T. König, J. Ratzkin, J. Wei)
    arXiv bib
  11. 2023
  12. Nonuniqueness results for constant sixth order Q-curvature metrics on spheres with higher dimensional singularities (2023)
    (with P. Piccione, J. Wei)
    arXiv bib
  13. 2022
  14. Classification for positive singular solutions to critical sixth order equations (2022)
    (with J. Wei)
    arXiv bib
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