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.

引用

页数：21

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