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Quasilinear elliptic ( group ) the nature of the border burst crack

Author: HuangShuiBo
Tutor: MuChunLai
School: Chongqing University
Course: Basic mathematics
Keywords: Quasilinear elliptic ( group ) Border burst crack Boundary behavior Existence and Uniqueness
CLC: O175.25
Type: Master's thesis
Year: 2008
Downloads: 71
Quote: 0
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Abstract


This on the one hand the use of Karamata regular variation theory and upper and lower solution method for a class of elliptic equations with gradient term Δu ± a (x) | (?) U | q = b (x) f ( u) x ∈ Ω, x | ? Ω = ∞ boundary burst crack existence and boundary behavior . On the other hand , the weight function in the wider case of a class of elliptic equations competitive Δu = a (x) u p v q , x ∈ Ω ; Δv = b (x) u r v s , x ∈ Ω; u = v = ∞, x ∈ (?) Ω, the boundary of the existence and uniqueness of explosive crack and boundary behavior .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Elliptic equations
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