不定权的非局部特征值问题

IF 0.2 Q4 MATHEMATICS Methods of Functional Analysis and Topology Pub Date : 2020-09-28 DOI:10.31392/mfat-npu26_3.2020.09

S. Taarabti

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引用次数: 2

摘要

在本文中，我们考虑了一类由具有Dirichlet边界条件的非局部积分微分算子\scrL K驱动的特征值问题。在对p和q的某些假设下，我们证明了任何λ>0足够小都是非齐次非局部问题（\scrP\lambda）的特征值。÷®§§§§®“'ï§776；å§”®a 776欧元®® •®属于®ŞscrL K§aà©®“®î®“®编号776à编号776å135-776åà776éé®“® p÷q¢®¢￥®, y® 一®“®白天® λ>0õá776；»®我不知道。®÷®[未知]®对®§§ç÷（\scrP\lambda）。

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Nonlocal eigenvalue problems with indefinite weight

In the present paper, we consider a class of eigenvalue problems driven by a nonlocal integro-di erential operator \scrL K with Dirichlet boundary conditions. Under certain assumptions on p and q, we establish that any \lambda > 0 su ciently small is an eigenvalue of the nonhomogeneous nonlocal problem (\scrP \lambda ). ®§£«ï¤ õâìáï a« á á ̄¥aâà «ì ̈å § ¤ ç, ̄®¢'ï§ ̈å ÷§ ¥«®a «ì ̈¬ ÷â¥£à®¤ ̈ä¥à¥æ÷ «ì ̈¬ ® ̄¥à â®à®¬ \scrL K ÷§ aà ©®¢®î ã¬®¢®î ̈à ̈å«¥. ̄¥¢ ̈å ̄à ̈ ̄ãé¥ì é®¤® p ÷ q ¤®¢¥¤¥®, é® a®¦¥ ¤®áâ ì® ¬ «¥ \lambda > 0 õ ¢« á ̈¬ § ç¥ï¬ ¥®¤®à÷¤®ù ¥«®a «ì®ù § ¤ ç÷ (\scrP \lambda ).

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来源期刊

Methods of Functional Analysis and Topology MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.

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