Second-order estimates for boundary blowup solutions of special elliptic equations
نویسندگان
چکیده
منابع مشابه
Second-order Estimates for Boundary Blowup Solutions of Special Elliptic Equations
where K(x) denotes the mean curvature of ∂Ω at the point x nearest to x, and o(δ) has the usual meaning. Boundary estimates for various nonlinearities have been discussed in several papers, see for example [1, 3, 5, 8, 13–16]. In Section 2 of the present paper we investigate boundary blowup solutions of the equation Δu= eu|u| , with β > 0, β = 1. We prove the estimate u(x)=Φ(δ) +β−1(N − 1)K(x)δ...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2006
ISSN: 1687-2762
DOI: 10.1155/bvp/2006/45859