Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory

被引：1
|
作者：
Ouaziz, Abdesslam [1 ]
Aberqi, Ahmed [2 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar Elmahraz, Lab LAMA, Math, Fes 30000, Morocco
[2] Natl Sch Appl Sci, Lab LAMA, Math, Fes 30000, Morocco
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2024年 / 30卷 / 01期
关键词：
Fractional Sobolev space; Existence of solutions; Infinitely many solutions; Morse's theory; Logarithmic nonlinearity; Local linking; Fractional p(x; <middle dot>)-Kirchhoff-type problem; VARIABLE EXPONENT; MULTIPLICITY; EXISTENCE; SPACES; FUNCTIONALS; LAPLACIAN;
D O I：
10.1007/s40590-023-00580-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we study the existence of infinitely many solutions for p(x, <middle dot>)- fractional Kirchhoff-type elliptic equation involving logarithmic-type nonlinearities. Our approach is based on the computation of the critical groups in the nonlinear fractional elliptic problem of type p(x, <middle dot>)-Kirchhoff, the Morse relation combined with variational methods.
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页数：21
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