A PRIORI ESTIMATE FOR LOWER SOLUTIONS OF ACLASS QUASILINEAR ELLIPTIC EQUATIONS  被引量:1

A PRIORI ESTIMATE FOR LOWER SOLUTIONS OF A CLASS QUASILINEAR ELLIPTIC EQUATIONS

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作  者:王向东 韩普宪 梁■廷 

出  处:《Applied Mathematics and Mechanics(English Edition)》1999年第2期231-232,共2页应用数学和力学(英文版)

摘  要:A new priori estimate of lower- solution is made for the following quasilinear elliptic equation : integral(G) {del v . A (x, u, del u) + vB (x, u, del u)} dx = 0, For All v is an element of (W) over circle(p)(1) (G). The result presented in this paper enriches and extends the corresponding result of Gilbarg-Trudinger.A new priori estimate of lower- solution is made for the following quasilinear elliptic equation : integral(G) {del v . A (x, u, del u) + vB (x, u, del u)} dx = 0, For All v is an element of (W) over circle(p)(1) (G). The result presented in this paper enriches and extends the corresponding result of Gilbarg-Trudinger.

关 键 词:elliptic equation lower solution priori estimate 

分 类 号:O175[理学—数学]

 

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