Boundary behaviour for solutions of boundary blow-up problems in a borderline case |
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Authors: | Claudia Anedda |
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Institution: | Dipartimento di Matematica e Informatica, Università degli studi di Cagliari, 09124 Cagliari, Italy |
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Abstract: | We investigate boundary blow-up solutions of the equation Δu=f(u) in a bounded domain Ω⊂RN under the condition that f(t) has a relatively slow growth as t goes to infinity. We show how the mean curvature of the boundary ∂Ω appears in the asymptotic expansion of the solution u(x) in terms of the distance of x from ∂Ω. |
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Keywords: | Semilinear elliptic equations Blow-up solutions Second order boundary approximation |
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