ON THE RADIAL GROUND STATE OF P-LAPLACIAN EQUATION WITH GRADIENT TERM PERTURBATION  

ON THE RADIAL GROUND STATE OF P-LAPLACIAN EQUATION WITH GRADIENT TERM PERTURBATION

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作  者:宣本金 陈祖墀 

出  处:《Acta Mathematica Scientia》2000年第2期219-228,共10页数学物理学报(B辑英文版)

摘  要:In this paper, authors consider the existence, uniqueness and nonexistence of the radial ground state to the following p-laplacian equation: Delta(p)u + u(q) - \Du\(sigma) = 0, x epsilon Rn, where 2 less than or equal to p < n, q is subcritical exponent, i.e. p < p* - 1 = [n(p - 1) + p]/(n - p), sigma > 0. Applying the shooting argument, Schauder's fixed point theorem and some delicate estimates of auxiliary funtions, they study the influence of the parameters n, p, q, sigma > 0 on the existence, uniqueness and nonexistence of the radial ground state to the above p-laplacian equation.In this paper, authors consider the existence, uniqueness and nonexistence of the radial ground state to the following p-laplacian equation: Delta(p)u + u(q) - \Du\(sigma) = 0, x epsilon Rn, where 2 less than or equal to p < n, q is subcritical exponent, i.e. p < p* - 1 = [n(p - 1) + p]/(n - p), sigma > 0. Applying the shooting argument, Schauder's fixed point theorem and some delicate estimates of auxiliary funtions, they study the influence of the parameters n, p, q, sigma > 0 on the existence, uniqueness and nonexistence of the radial ground state to the above p-laplacian equation.

关 键 词:p-Laplacian equation radial ground state shooting argument 

分 类 号:O177[理学—数学]

 

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