Abstract.
We study the following semilinear elliptic equation \(-\Delta u + b(x)u = f(u), \ \ \ x\in{\mathbf R}^N, \) where b is periodic and f is assumed to be asymptotically linear. The purpose of this paper is to establish the existence of infinitely many homoclinic type solutions for this class of nonlinearities.
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Received: 30 December 2002, Accepted: 26 August 2003, Published online: 15 October 2003
Mathematics Subject Classification (2000):
35J60,35B05, 58E05
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van Heerden, F.A. Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity. Cal Var 20, 431–455 (2004). https://doi.org/10.1007/s00526-003-0242-9
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DOI: https://doi.org/10.1007/s00526-003-0242-9