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Wolff type integral equations solution of

Author: WangJianPeng
Tutor: QuChangZheng
School: Northwestern University
Course: Basic mathematics
Keywords: Wolff integral equation Positive solutions The integral form of the moving plane method Homogeneous Norm Estimates Radial symmetry
CLC: O175.5
Type: Master's thesis
Year: 2011
Downloads: 14
Quote: 0
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Abstract


Natural sciences, engineering technology , as well as the mathematical theory of many of the problems can be attributed to the solution of the integral equation problems, especially for solving nonlinear integral equation problems Wolff potential and Wolff integral equation (product ) in nonlinear micro- differential equation plays an important role in the research in this paper, the integral form of the moving plane method, homogeneous mode estimates and measure classification method , a class of Wolff fully nonlinear integral equations ( ? ) u ( x ) = Wβ , gamma ( f ( u , v ) ) ( x ) x ∈ Rn ( ? ) v ( x ) = Wβ , gamma ( g ( u , v ) ) ( x ) x ∈ Rn ( one of the positive solution of nature , come to a positive solution ( u ( x ) , v ( x ) ) is a point in Rn with radial symmetry and monotonically increasing ; further extended to the general containing m m-ary nature of the equations of the equation , the corresponding conclusions also the equation is not the nature of the solution on the binary equations .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Integral equation
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