The influence of domain geometry in boundary blow-up elliptic problems

By Manuel del Pino, R. Letelier. 2002

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Boundary behavior for large solutions to elliptic equations with singular weights (2007, unknown): “[1], [2], [3], [4], [5], [7], [8], [10], [11], [14], [15], [17], [21], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33] and [34]) and systems (cf.”
Keller–Osserman type conditions for some elliptic problems with gradient terms (2012, background): “See also [7,8,37,15,3], where more precise information on the asymptotic behavior of the solutions is obtained.”
Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up (2001, background): “An explicit expression for this second term has been recently found in [7] as u = Ad−α(1 + Bd + o(d)), B given as a function of the mean curvature H , provided that 1 < p < 3 (in the radial case this term had been already computed in [4] for all p > 1).”
Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary (2004, methodology): “The results of [4] were extended to arbitrary bounded smooth domains, for equations with power nonlinearities (in [5],[1]) and with the exponential nonlinearity (in [1]).”