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• W3100894493 abstract "We study the following fractional Schrödinger equation ε2s(−Δ)su+Vu=|u|p−2u, x∈ RN. We show that if the external potential V∈C(RN;[0,∞)) has a local minimum and p∈(2 + 2s/(N − 2s),2s*), where 2s*=2N/(N − 2s),N≥2s, the problem has a family of solutions concentrating at the local minimum of V provided that lim inf|x|→∞V(x)|x|2s &gt; 0. The proof is based on variational methods and penalized techniques." @default.
• W3100894493 created "2020-11-23" @default.
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• W3100894493 date "2019-02-01" @default.
• W3100894493 modified "2023-09-23" @default.
• W3100894493 title "Semi-classical solutions for fractional Schrödinger equations with potential vanishing at infinity" @default.
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• W3100894493 doi "https://doi.org/10.1063/1.5037126" @default.
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