Remarks on Normalized Solutions for $L^2$-Critical Kirchhoff Problems

Positive normalized solution to the Kirchhoff equation with general nonlinearities of mass super-critical

“…Later on in [23], Ye also considered the asymptotic behavior of critical points of I[u] on S c with p = 2 + 8 N . Similar perturbation problems for p = 2 + 8 N can also be seen in [28]. By scaling technique and energy estimate, Zeng and Zhang [27] improved the results of [21].…”

Existence of ground state for fractional Kirchhoff equation with $L^{2}$ critical exponents

“…From [25,28] we know that there is an L 2 critical exponent p * = 2 + 8 N such that problem (3) has global constraint minimizers for p < p * and no global constraint minimizers for p ≥ p * . Then, for the L 2 critical exponent, Ye [26] and Zeng and Chen [31] added a perturbation function and obtained the existence of minimizers on S c . Moreover, for the L 2 critical exponent, Ye [27] gave some mass concentration behavior.…”