Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation
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DOI: 10.1007/s00229-018-1017-0
Abstract: We study the multiplicity of concentrating solutions to the nonlinear fractional Kirchhoff equation $$\begin{aligned} \left( \varepsilon ^{2s}a+\varepsilon ^{4s-3}b\int _{\mathbb R^3}|(-\Delta )^{\frac{s}{2}}u|^2dx\right) (-\Delta )^s u+V(x)u=f(u)~~\text{ in }~~\mathbb R^3, \end{aligned}$$ε2sa+ε4s-3b∫R3|(-Δ)s2u|2dx(-Δ)su+V(x)u=f(u)inR3,where $$\varepsilon >0$$ε>0 is a positive parameter, $$(-\Delta… read more here.
Keywords: fractional kirchhoff; concentrating solutions; multiplicity concentrating; kirchhoff equation ... See more keywords