Semiclassical States of Nonlinear Schrödinger Equations
- Cite this article as:
- Ambrosetti, A., Badiale, M. & Cingolani, S. Arch Rational Mech Anal (1997) 140: 285. doi:10.1007/s002050050067
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The existence of semiclassical states to some nonlinear Schrödinger equations that concentrate near the critical points of the potential V is studied by means of a local approach, variational in nature. We also discuss stability and necessary conditions for concentration. The same method is used to find multiple homoclinic orbits to a class of second‐order Hamiltonian systems.