Solutions with prescribed mass to Kirchhoff equations: generic double-behaviour nonlinearities
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DOI: 10.1088/1361-6544/ae0b26
Abstract: In this paper, we study the Kirchhoff equation {−(a+b∫ℝ3|∇u|2dx)Δu+λu=f(u), x∈ℝ3,∫ℝ3|u|2dx=c2, x∈ℝ3,(λ,u)∈ℝ×H1(ℝ3), where a,b,c>0, λ∈R is unknown as a Lagrange multiplier. We provide generic assumptions about the nonlinearity f(u), which correspond to the L2-subcritical, L2-critical, L2-supercritical, and Sobolev… read more here.
Keywords: equations generic; generic double; mass kirchhoff; solutions prescribed ... See more keywords