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

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.