Semiclassical States of Nonlinear Schrödinger Equations
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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.
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