Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition

被引：8

作者：

Biswas, Reshmi ^{[1
]}

Bahrouni, Sabri ^{[2
,3
]}

Carvalho, Marcos L. ^{[4
]}

机构：

[1] Indian Inst Technol Delhi, Math Dept, Delhi 11016, India

[2] Univ Kairouan, IPEIK, Kairouan, Tunisia

[3] Univ Monastir, LR18ES15, Monastir, Tunisia

[4] Univ Fed Goias, Math Inst, Goiania, Go, Brazil

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 03期

关键词：

Variable-order fractional p(center dot)-Laplacian; Double phase problem; Robin boundary condition; Variational methods; ELLIPTIC PROBLEMS; SOBOLEV SPACES; MULTIPLICITY; EXISTENCE; GROWTH; FUNCTIONALS; EQUATIONS; PATTERNS;

D O I：

10.1007/s00033-022-01724-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a fractional double phase Robin problem involving variable order and variable exponents. The non-linearity f is a Caratheodory function satisfying some hypotheses which do not include the Ambrosetti-Rabinowitz-type condition. By using a variational methods, we investigate the multiplicity of solutions.

引用

页数：24

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