SEMICLASSICAL SOLUTIONS OF THE CHOQUARD EQUATIONS IN R3
- 1 February 2021
- journal article
- research article
- Published by Wilmington Scientific Publisher, LLC in Journal of Applied Analysis & Computation
- Vol. 11 (1), 568-586
- https://doi.org/10.11948/20200388
Abstract
We study the nonlocal equation: -epsilon(2)Delta u + lambda u + V(x)u = epsilon(-2)(vertical bar x vertical bar(-1) (*) vertical bar u vertical bar(p))vertical bar u vertical bar(p-2)u in R-3, where epsilon > 0 is a small parameter, lambda > 0, 0 < p < infinity are positive constants and u is a real-valued measurable function. By Lyapunov-Schmidt reduction, we will prove the existence of multiple semiclassical solutions.Keywords
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