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All issues Volume 29 (2023) ESAIM: COCV, 29 (2023) 42 References
Open Access
Issue
ESAIM: COCV
Volume 29, 2023
Article Number 42
Number of page(s) 24
DOI https://doi.org/10.1051/cocv/2023036
Published online 09 June 2023
  1. M. Ahmedou and C.B. Ndiaye, Morse theory and the resonant Q-curvature problem, ArXiv e-prints [arXiv:1409.7919]. [Google Scholar]
  2. A. Bahri, Critical points at infinity in some variational problems. Res. Notes Math. 182 (1989) [Google Scholar]
  3. T.P. Branson, The functional determinant. Global Analysis Research Center Lecture Note Series, Vol. 4. Seoul National University (1993). [Google Scholar]
  4. T.P. Branson, Oersted., Explicit functional determinants in four dimensions. Proc. Amer. Math. Soc. 113 (1991) 669–682. [CrossRef] [MathSciNet] [Google Scholar]
  5. S.Y.A. Chang and P.C. Yang, Extremal metrics of zeta functional determinants on 4-manifolds. Ann. Math. 142 (1995) 171–212. [CrossRef] [MathSciNet] [Google Scholar]
  6. S.Y.A. Chang and P.C. Yang, On uniqueness of solutions of nth order differential equations in conformal geometry. Math. Res. Lett. 4 (1997) 91–102. [CrossRef] [MathSciNet] [Google Scholar]
  7. C.C. Chen and C.S. Lin, Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces. Commun. Pure Appl. Math. 55 (2002) 728–771. [CrossRef] [Google Scholar]
  8. C.C. Chen and C.S. Lin, Topological degree for a mean field equation on Riemann surfaces. Commun. Pure Appl. Math. 56 (2003) 1667–1727. [CrossRef] [Google Scholar]
  9. Z. Djadli and A. Malchiodi, Existence of conformal metrics with constant Q-curvature. Ann. Math. 168 (2008) 813–858. [CrossRef] [MathSciNet] [Google Scholar]
  10. O. Druet and F. Robert, Bubbling phenomena for fourth-order four-dimensional PDEs with exponential growth. Proc. Am. Math. Soc. 134 (2006) 897–908. [Google Scholar]
  11. D. Gilbard and N. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd ed. Springer-Verlag (1983). [Google Scholar]
  12. M. Gursky, Locally conformally flat four and six-manifolds of positive scalar curvature and positive Euler characteristic. Indiana Univ. Math. J. 43 (1994) 747–774. [CrossRef] [MathSciNet] [Google Scholar]
  13. M. Gursky, The principal eigenvalue of a conformally invariant differential operator, with an application to semilinear elliptic PDE. Commun. Math. Phys. 207 (1999) 131–143. [CrossRef] [Google Scholar]
  14. A. Malchiodi, Compactness of solutions to some geometric fourth-order equations. J. Reine Angew. Math. 594 (2006) 137–174. [MathSciNet] [Google Scholar]
  15. A. Malchiodi, Conformal Metrics with Constant Q-curvature. SIGMA 3 (2007) 120. [Google Scholar]
  16. A. Malchiodi and M. Struwe, Q-curvature flow on S4. J. Diff. Geom. 73 (2006). [Google Scholar]
  17. C.B. Ndiaye, Constant Q-curvature metrics in arbitrary dimension. J. Funct. Anal. 251 (2007) 1–58. [CrossRef] [MathSciNet] [Google Scholar]
  18. C.B. Ndiaye, Algebraic topological methods for the supercritical Q-curvature problem. Adv. Math. 277 (2015) 56–99. [CrossRef] [MathSciNet] [Google Scholar]
  19. C.B. Ndiaye, Sharp estimates for bubbling solutions to some fourth-order geometric equations. Int. Math. Res. Not. IMRN (2017) 643–676. [Google Scholar]
  20. C.B. Ndiaye, Topological methods for the resonant Q-curvature problem in arbitrary even dimension. J. Geom. Phys. 140 (2019) 178–213. [CrossRef] [MathSciNet] [Google Scholar]
  21. C.B. Ndiaye, Leray–Schauder degree for the resonant Q-curvature problem in even dimensions, ArXiv e-prints [arXiv:2206.12964]. [Google Scholar]
  22. S. Paneitz, A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds. SIGMA Symm. Integrabil. Geom. Methods Appl. 4 (2008). [Google Scholar]
  23. K. Uhlenbek and J. Viaclovsky, Regularity of weak solutions to critical exponent variational equations. Math. Res. Lett. 7 (2000) 651–656. [CrossRef] [MathSciNet] [Google Scholar]
  24. G. Weienstein and L. Zhang, The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds. J. Funct. Anal. 257 (2009) 3895–3929. [CrossRef] [MathSciNet] [Google Scholar]

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