具有无界非线性项的半线性椭圆共振问题  

Semilinear Elliptic Resonant Problems at Higher Eigenvalue with Unbounded Nonlinear Terms

作　　者：苏加宝[1,2] 

机构地区：[1]中国科学院数学研究所 [2]首都师范大学数学系

出　　处：《数学学报（中文版）》1998年第4期715-720,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：本文中我们研究一类在高阶特征值处共振、具有无界的非线性项的渐近线性椭圆方程的非平凡解的存在性．In this paper we study the existence of nontrivial solutions of a class of asymptotically linear elliptic resonant problems at higher eigenvalues with the nonlinear term which may be unbounded by making use of the Morse theory for a C 2-function at both isolated critical point and infinity.

关 键 词：共振 非平凡解 非线性项 半线性 椭圆型方程 

分 类 号：O175.25[理学—数学]