A GEOMETRIC PROPERTY OF LEVEL SETS OF SOLUTIONS TO SEMILINEAR ELLIPTIC DIRICHLET PROBLEMS

被引:12
作者
KAWOHL, B
机构
关键词
D O I
10.1080/00036818308839471
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:229 / 233
页数:5
相关论文
共 13 条
[1]   ON THE CONVEXITY OF LEVEL LINES OF THE FUNDAMENTAL MODE IN THE CLAMPED MEMBRANE PROBLEM, AND THE EXISTENCE OF CONVEX SOLUTIONS IN A RELATED FREE-BOUNDARY PROBLEM [J].
ACKER, A ;
PAYNE, LE ;
PHILIPPIN, G .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1981, 32 (06) :683-694
[2]  
ACKER A, 1981, MATH METHOD APPL SCI, V3, P435
[3]  
[Anonymous], 1971, MAT ZAMETKI
[4]   ON EXTENSIONS OF BRUNN-MINKOWSKI AND PREKOPA-LEINDLER THEOREMS, INCLUDING INEQUALITIES FOR LOG CONCAVE FUNCTIONS, AND WITH AN APPLICATION TO DIFFUSION EQUATION [J].
BRASCAMP, HJ ;
LIEB, EH .
JOURNAL OF FUNCTIONAL ANALYSIS, 1976, 22 (04) :366-389
[5]   CONVEXITY PROPERTIES OF SOLUTIONS TO SOME CLASSICAL VARIATIONAL-PROBLEMS [J].
CAFFARELLI, LA ;
SPRUCK, J .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1982, 7 (11) :1337-1379
[6]   SYMMETRY AND RELATED PROPERTIES VIA THE MAXIMUM PRINCIPLE [J].
GIDAS, B ;
NI, WM ;
NIRENBERG, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (03) :209-243
[7]  
KAWOHL B, UNPUB Z ANGEW MATH M
[8]  
KAWOHL B, UNPUB P AMS
[9]  
KOREVAAR NJ, 1981, MRC2307 TECH REP
[10]   2 GEOMETRICAL PROPERTIES OF SOLUTIONS OF SEMI-LINEAR PROBLEMS [J].
LIONS, PL .
APPLICABLE ANALYSIS, 1981, 12 (04) :267-272