In this article, we consider cooperative and noncooperative elliptic systems that are asymptotically linear at infinity. We obtain infinitely many solutions with small energy if the potential is even. If the noncooperative system is resonant both at zero and at infinity, then the number of nontrivia
Positive solution for asymptotically linear elliptic systems
β Scribed by Chaoquan Peng; Jianfu Yang
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 218 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1192
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β¦ Synopsis
In this paper, we show that semilinear elliptic systems of the form
where k and l are nonnegative numbers, f(x, t) and g(x, t) are continuous functions on R N ΓR and asymptotically linear as t β+β.
π SIMILAR VOLUMES
In this paper we are going to discuss bifurcation from infinity for asymptotically linear elliptic eigenvalue problems having nonlinear boundary conditions. Behavior of the bifurcation components is also studied.  2002 Elsevier Science (USA)
We study the existence of homoclinic orbits for first order time-dependent Hamiltonian systems z Λ=JH z (z, t), where H(z, t) depends periodically on t and H z (z, t) is asymptotically linear in z as |z| Q .. We also consider an asymptotically linear SchrΓΆdinger equation in R N .