High Perturbations of a Fractional Kirchhoff Equation with Critical Nonlinearities.

Autor:	Yu, Shengbin, Huang, Lingmei, Chen, Jiangbin
Předmět:	EQUATIONS MOUNTAIN pass theorem MULTIPLICITY (Mathematics)
Zdroj:	Axioms (2075-1680); May2024, Vol. 13 Issue 5, p337, 13p
Abstrakt:	This paper concerns a fractional Kirchhoff equation with critical nonlinearities and a negative nonlocal term. In the case of high perturbations (large values of α , i.e., the parameter of a subcritical nonlinearity), existence results are obtained by the concentration compactness principle together with the mountain pass theorem and cut-off technique. The multiplicity of solutions are further considered with the help of the symmetric mountain pass theorem. Moreover, the nonexistence and asymptotic behavior of positive solutions are also investigated. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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