References
Bandle C. and Marcus M.: Asymptotic behaviour of solutions and their derivatives for semilinear elliptic problems with blowup on the boundary. Ann. Inst. Henri Poincaré12, 155–171 (1995).
Cheng S.Y. and Yau S.T.: On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of Fefferman's equation. Comm. Pure Appl. Math.33, 507–544 (1980).
Fefferman C.L.: Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains. Ann. of Math.103, 395–416 (1976).
Gustafsson B: On the convexity of a solution of Liouville's equation. Duke Math. J.60, 303–311 (1990).
Jerison D.S. and Kenig C.E.: Boundary behaviour of harmonic functions in non-tangentially accessible domains. Adv. Math.46, 80–147 (1982).
Marcus M. and Véron L.: Uniqueness of solutions with blowup at the boundary for a class of nonlinear elliptic equations. C.R. Acad. Sci. Paris,317, série I, 559–563 (1993).
Matero J.: Boundary-blow-up problems in a fractal domain. Z. Anal. Anw.15, 419–444 (1996).
Matero J.: Boundary-blow-up problems in non-tangentially accessible domains. Preprint (1995).
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Matero, J. A remark on Fefferman's equation in non-smooth domains. Manuscripta Math 91, 223–229 (1996). https://doi.org/10.1007/BF02567951
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DOI: https://doi.org/10.1007/BF02567951