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Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity

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  • We consider singularly perturbed elliptic equations $\varepsilon^2\Delta u - V(x) u + f(u)=0, x\in R^N, N \ge 3.$ For small $\varepsilon > 0,$ we glue together localized bound state solutions concentrating at isolated components of positive local minimum of $V$ under conditions on $f$ we believe to be almost optimal.
    Mathematics Subject Classification: Primary: 35J20; Secondary: 35J60.

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