TITLE:
The Existence Result for a Fractional Kirchhoff Equation Involving Doubly Critical Exponents and Combined Nonlinearities
AUTHORS:
Tianqing Zhang
KEYWORDS:
Fractional Kirchhoff Equations, Constrained Minimizers, Doubly Critical Exponents
JOURNAL NAME:
Open Access Library Journal,
Vol.11 No.4,
April
11,
2024
ABSTRACT: This paper zeroes in on the existence result of solutions to a fractional Kirchhoff equation with doubly critical exponents, mixed nonlinear terms and a continuous potential V. After utilizing some energy estimates, one obtains the effect of exponents p and q on the existence of constrained minimizers, namely, the connection between the existence of normalized solutions and exponents p, q.