Eigenvalue type problem in s(., .)-fractional Musielak-Sobolev spaces

被引：1

作者：

Srati, Mohammed ^{[1
]}

机构：

[1] Univ Mohammed First, High Sch Educ & Format ESEF, Oujda, Morocco

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2024年 / 10卷 / 01期

关键词：

s(; )-Fractional Musielak-Sobolev spaces; Eigenvalue problems; Ekeland's ariational principle; REGULARITY CRITERION;

D O I：

10.1007/s41808-024-00269-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the s(., .)-fractional Musielak-Sobolev spaces W-s(x,W-y) L-Phi x,L-y (Omega). Then, we show that there exists lambda(*) > 0 such that any lambda is an element of (0, lambda(*)) is an eigenvalue for the following problem, by means of Ekeland's variational principle (P-a){(-Delta)(s(x,.))(a(x,.)) u = lambda vertical bar u vertical bar (q(x)-2) u in Omega, u = 0 in R-N\Omega, where Omega is a bounded open subset of R-N with C-0,C-1-regularity and bounded boundary.

引用

页码：387 / 413

页数：27

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