Nonlinear elliptic equations with singular boundary conditions

被引：0
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作者：
Northwest Normal Univ, Lanzhou, China [1 ]
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来源：
J Math Anal Appl | / 2卷 / 390-397期
关键词：
Asymptotic stability - Boundary conditions - Differential equations - Functions - Numerical analysis - Set theory;
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摘要：
The paper shows that there exists a classical solution to the model problem { Δu = k(u)(1 + |u|q), u > 0 in Ω. u(x) &rarr +∞ as d(x) = dist(x, &partΩ) &rarr 0, where Ω is a bounded region in RN with smooth boundary, q ∈ [0, 2), and k(u) = up(p > 1) or eu.
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