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| A Strong Resonance Problem |
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Citation： |
Zhang Gongqing,Liu Jiaquan.A Strong Resonance Problem[J].Chinese Annals of Mathematics B,1990,11(2):191~210 |
| Page view： 914
Net amount： 758 |
Authors： |
Zhang Gongqing; Liu Jiaquan |
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| Abstract： |
Consider a functional f(x, v)=(Ax,x)/2+G(x,v), defined on a product space HxV, where H is a Hilbert space and V is a compact manifold. Suppose that the linear part (Ax, x) is at resonance. In this paper, the strong resonance problem is studied in the variational approach, the existence of at least, cuplength V+l critical points of f is proved. The abstract theorems are then applied to the existence problems of solutions for elliptic boundary value problems and Hamiltonian systems. |
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