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- W2743281765 abstract "Abstract In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations $$ {( - Delta )^s}u + V(x)u = lambda f(x,u),,{rm in},,{mathbb{R}^N}, $$ where $ {( - Delta )^s}u(x) = 2limlimits_{varepsilon to 0} int_ {{mathbb{R}^N}backslash {B_varepsilon }(X)} {{u(x) - u(y)} over {|x - y{|^{N + 2s}}}}dy,,,x in {mathbb{R}^N} $ is a fractional operator and s ∈ (0, 1). By using variational methods, we prove this problem has at least two nontrivial solutions in a suitable weighted fractional Sobolev space." @default.
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- W2743281765 date "2017-08-08" @default.
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- W2743281765 title "Multiplicity solutions of a class fractional Schrödinger equations" @default.
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- W2743281765 doi "https://doi.org/10.1515/math-2017-0084" @default.
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