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The Existence Result for a Fractional Kirchhoff Equation Involving Doubly Critical Exponents and Combined Nonlinearities

DOI: 10.4236/oalib.1111433, PP. 1-16

Subject Areas: Functional Analysis

Keywords: Fractional Kirchhoff Equations, Constrained Minimizers, Doubly Critical Exponents

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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.

Cite this paper

Zhang, T. (2024). The Existence Result for a Fractional Kirchhoff Equation Involving Doubly Critical Exponents and Combined Nonlinearities. Open Access Library Journal, 11, e1433. doi: http://dx.doi.org/10.4236/oalib.1111433.

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