Normalized Solutions of Nonautonomous Kirchhoff Equations: Sub- and Super-critical Cases

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Abstract

In this paper, we establish the existence of normalized solutions to the following Kirchhoff-type equation {-(a+b∫R3|∇u|2dx)Δu-λu=K(x)f(u),x∈R3;u∈H1(R3),where a, b> 0 , λ is unknown and appears as a Lagrange multiplier, K∈ C(R3, R+) with 0

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Chen, S., Rădulescu, V. D., & Tang, X. (2021). Normalized Solutions of Nonautonomous Kirchhoff Equations: Sub- and Super-critical Cases. Applied Mathematics and Optimization, 84(1), 773–806. https://doi.org/10.1007/s00245-020-09661-8

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