MAXIMUM-PRINCIPLES FOR A CLASS OF SEMILINEAR ELLIPTIC BOUNDARY-VALUE-PROBLEMS

被引:0
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作者
ZHANG, HL [1 ]
机构
[1] SHANXI UNIV, DEPT MATH, TAIYUAN 030006, PEOPLES R CHINA
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For years it has remained a problem to find suitable functionals satisfying certain maximum principles for solutions of the equation Delta u + f(x, u) = 0. In this paper, maximum principles for certain functionals which are defined on solutions of semilinear elliptic equations subject to mixed or Robin boundary conditions are obtained. The principles derived may be used to deduce bounds on important quantities in physical problems of interest.
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页码:169 / 175
页数:7
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