Abstract
We study under what condition there exists a solution of -Δu+f(u)=0 in a domain Ω which blows-up on the boundary, independently of the regularity of the boundary, and we provide criteria for uniqueness. We apply our results to the case f(u)= e au.
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Marcus, M., Véron, L. Existence and uniqueness results for large solutions of general nonlinear elliptic equations. J. evol. equ. 3, 637–652 (2003). https://doi.org/10.1007/s00028-003-0122-y
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DOI: https://doi.org/10.1007/s00028-003-0122-y