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- W3126508002 abstract "We study the following fractional Schrödinger equation ϵ2s(−Δ)su+V(x)u=|u|p−2u,x∈ RN,where s∈(0,1), N>2s, p>1 is subcritical and V(x) is a nonnegative continuous potential. We use penalized technique and variational methods to show that the problem has a family of solutions concentrating at a local minimum of V(x) as ϵ→0 provided that 2sN−2+2<p<2NN−2s. The novelty is that V can decay arbitrarily or even be compactly supported." @default.
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- W3126508002 date "2021-02-02" @default.
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- W3126508002 title "Semi-classical analysis for fractional Schrödinger equations with fast decaying potentials" @default.
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- W3126508002 doi "https://doi.org/10.1080/00036811.2021.1880571" @default.
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