We study the Schroedinger– Poisson problem in R^N and construct non-radial sign-changing multi-peak solutions in the semiclassical limit. The peaks are displaced in suitable symmetric configurations and collapse to the same point as the parameter ε → 0. The proof is based on the Lyapunov–Schmidt reduction.
Non-radial sign-changing solutions for the Schrödinger–Poisson problem in the semiclassical limit / Ianni, Isabella; Vaira, Giusi. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 22:4(2015), pp. 741-776. [10.1007/s00030-014-0303-0]
Non-radial sign-changing solutions for the Schrödinger–Poisson problem in the semiclassical limit
IANNI, ISABELLA;VAIRA, GIUSI
2015
Abstract
We study the Schroedinger– Poisson problem in R^N and construct non-radial sign-changing multi-peak solutions in the semiclassical limit. The peaks are displaced in suitable symmetric configurations and collapse to the same point as the parameter ε → 0. The proof is based on the Lyapunov–Schmidt reduction.File allegati a questo prodotto
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