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Existence of negative convex solutions for a discrete mixed boundary value problem with
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 62, Issue 6, Pages: 171-176(2023)
- 作者机构：
西北师范大学数学与统计学院， 甘肃 兰州 730070
- 作者简介：
- 基金信息：
DOI：10.13471/j.cnki.acta.snus.2021A077
CLC： O175.7Published：25 November 2023，
Published Online：27 October 2023，
Received：17 September 2021，
Accepted：10 July 2022
扫 描 看 全 文
赵亚丽,陈天兰.带p-Laplace算子的离散混合边值问题负凸解的存在性[J].中山大学学报(自然科学版),2023,62(06):171-176.
ZHAO Yali,CHEN Tianlan.Existence of negative convex solutions for a discrete mixed boundary value problem with p-Laplacian operator[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2023,62(06):171-176.
赵亚丽,陈天兰.带p-Laplace算子的离散混合边值问题负凸解的存在性[J].中山大学学报(自然科学版),2023,62(06):171-176. DOI： 10.13471/j.cnki.acta.snus.2021A077.
ZHAO Yali,CHEN Tianlan.Existence of negative convex solutions for a discrete mixed boundary value problem with p-Laplacian operator[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2023,62(06):171-176. DOI： 10.13471/j.cnki.acta.snus.2021A077.
![PDF Download](/rc-pub/front/front-article/download/43168166/lowqualitypdf/Existence of negative convex solutions for a discrete mixed boundary value problem with <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mi>p</mi></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/4574512A-E56C-46ca-B8E7-F759144E6721-M002.jpg"><?fx-imagestate width="2.70933342" height="4.57200003"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/4574512A-E56C-46ca-B8E7-F759144E6721-M002c.jpg"><?fx-imagestate width="2.70933342" height="4.57200003"?></graphic></alternatives></inline-formula>-Laplacian operator.pdf){kind=link}
摘要
运用锥上的不动点定理讨论带
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1.77800000
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-Laplace算子的离散混合边值问题
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4.57200003
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负凸解的存在性，其中
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，
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10.07533360
2.96333337
连续.
Abstract
By using the fixed point theorem in cones， the existence of negative convex solutions for a discrete mixed boundary value problem of
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2.03200006
3.47133350
-Laplacian operator
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is studied， where
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，
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8.80533314
3.47133350
，
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16.76399994
3.47133350
is continuous.
关键词
<math id="M18"><mi>p</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51097436&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51097422&type=1.778000002.96333337-Laplace算子离散混合边值问题负凸解不动点定理锥
Keywords
<math id="M19"><mi>p</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51097441&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51097453&type=2.032000063.47133350-Laplacian operatordiscrete mixed boundary value problemnegative convex solutionsfixed point theoremcone
references
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CHEN T， MA R， LIANG Y， 2019b. Multiple positive solutions of second-order nonlinear difference equations with discrete singular <math id="M248"><mi>ϕ</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51098967&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51098965&type=2.032000062.87866688-Laplacian［J］. J Differ Equ Appl， 25（1）： 38-55.
ERCOLE G， ZUMPANO A， 2001. Existence of positive radial solutions for the <math id="M249"><mi>n</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51098985&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51098969&type=1.608666662.28600001-dimensional <math id="M250"><mi>p</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51098977&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51098973&type=1.778000002.96333337-Laplacian［J］. Nonlinear Anal Theory Methods Appl， 44（3）： 355-360.
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