The paper attempts to prove existence and local uniqueness of multi-peak solutions for the logarithmic Schrödinger equation via Lyapunov-Schmidt reduction, but relies on an invalid Green's function estimate.
Bialynicki-Birula, J
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Positive multi-peak solutions for a logarithmic Schrodinger equation
The paper attempts to prove existence and local uniqueness of multi-peak solutions for the logarithmic Schrödinger equation via Lyapunov-Schmidt reduction, but relies on an invalid Green's function estimate.