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| HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS |
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Citation： |
Wu Shaoping.HOMOCLINIC ORBITS FOR LAGRANGIAN SYSTEMS[J].Chinese Annals of Mathematics B,1996,17(2):245~256 |
| Page view： 0
Net amount： 661 |
Authors： |
Wu Shaoping; |
Foundation： |
Project supported by the National Natural Science
Foundation of China, and the Zhejiang Natural Science Foundation |
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| Abstract： |
The existence of at least two homoclinic orbits for Lagrangian
system (LS) is proved, where the Lagrangian $L(t,x,y)= \frac 12 \Sigma a_{ij}(x)y_iy_j
- V(t,x)$, in which the potential $V(t,x)$ is globally surperquadratic in $x$
and $T$-periodic in $t.$ The Concentration-Compactness Lemma and Mini-max
argument are used to prove the existences. |
Keywords： |
Lagrangian systerm, Superquadratic growth,
Concentration-compactness,Minimax argument |
Classification： |
58F05, 58E20, 34C25 |
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