Existence and uniqueness results for large solutions of general nonlinear elliptic equations
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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 .
2000 Mathematics Subject Classification:35J60
Key words:Elliptic equations Keller-Osserman a priori estimate maximal solutions super and sub solutions
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