A semilinear fourth order elliptic problem with exponential nonlinearity

被引：87

作者：

Arioli, G

Gazzola, F

Grunau, HC

Mitidieri, E

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Otto von Guericke Univ, Fak Math, D-39016 Magdeburg, Germany

[3] Univ Trieste, Dipartimento Sci Matemat, I-34100 Trieste, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 36卷 / 04期

关键词：

biharmonic operator; super-subsolutions; computer assisted proof;

D O I：

10.1137/S0036141002418534

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a semilinear fourth order elliptic problem with exponential nonlinearity. Motivated by a question raised in [P.-L. Lions, SIAM Rev., 24 (1982), pp. 441-467], we partially extend results known for the corresponding second order problem. Several new difficulties arise and many problems still remain to be solved. We list those of particular interest in the final section.

引用

页码：1226 / 1258

页数：33

共 38 条

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