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Differential Equations & Applications最新文献

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Analysis of stagnation point flow over a stretching/shrinking surface 拉伸/收缩表面上的滞止点流动分析
IF 0.3
Differential Equations & Applications Pub Date : 2021-01-01 DOI: 10.7153/dea-2021-13-23
M'bagne F. 'bengue, J. Paullet
{"title":"Analysis of stagnation point flow over a stretching/shrinking surface","authors":"M'bagne F. 'bengue, J. Paullet","doi":"10.7153/dea-2021-13-23","DOIUrl":"https://doi.org/10.7153/dea-2021-13-23","url":null,"abstract":". In this article we analyze the boundary value problem governing stagnation-point fl ow of a fl uid with a power law outer fl ow over a surface moving with a speed proportional to the outer fl ow. The fl ow is characterized by two physical parameters; ε , which measures the stretching ( ε > 0) or shrinking ( ε < 0) of the sheet relative to the outer fl ow, and n > 0, the power law exponent. In the case of aiding fl ow ( ε > 0), where the (stretching) surface and the outer fl ow move in the same direction, we prove existence of a solution for all values of n . For opposing fl ow ( ε < 0), where the (shrinking) surface and the outer fl ow move in opposite directions, the situation is much more complicated. For − 1 < ε < 0 and all n we prove a solution exists. However, for ε (cid:2) − 1, we prove there exists a value, ε crit ( n ) (cid:2) − 1, such that no solutions exist for ε (cid:2) ε crit . For n = 1 / 7 and n = 1 / 3 we prove that ε crit = − 1. For other values of n , we derive bounds which illustrate the complicated nature of the existence/nonexistence boundary for opposing ( ε < 0) fl ows.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiplicity results for critical fractional equations with sign-changing weight functions 具有变符号权函数的临界分数阶方程的多重性结果
IF 0.3
Differential Equations & Applications Pub Date : 2021-01-01 DOI: 10.7153/DEA-2021-13-09
Yang Pu, Jia‐Feng Liao
{"title":"Multiplicity results for critical fractional equations with sign-changing weight functions","authors":"Yang Pu, Jia‐Feng Liao","doi":"10.7153/DEA-2021-13-09","DOIUrl":"https://doi.org/10.7153/DEA-2021-13-09","url":null,"abstract":". In this paper, we consider a time-independent fractional equation: where Ω is a smooth bounded domain, s ∈ ( 0 , 1 ) , N > 2 s 0 < q < 1, the coef fi cient functions f and g may change sign. We fi rst obtain the existence of ground state solution by the Nehari method under the combined effect of coef fi cient functions. Then we fi nd the multiplicity of positive solutions by Mountain pass theorem under some stronger conditions, and one of them is a ground state solution.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"129 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A class of nonlinear third-order boundary value problem with integral condition at resonance 一类具有共振积分条件的非线性三阶边值问题
IF 0.3
Differential Equations & Applications Pub Date : 2021-01-01 DOI: 10.7153/DEA-2021-13-04
H. Djourdem
{"title":"A class of nonlinear third-order boundary value problem with integral condition at resonance","authors":"H. Djourdem","doi":"10.7153/DEA-2021-13-04","DOIUrl":"https://doi.org/10.7153/DEA-2021-13-04","url":null,"abstract":"We are interested in the existence result for a class of nonlinear third-order three-point boundary value problem with integral condition at resonance. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The result are illustrated with an example. Mathematics subject classification (2010): 34B15, 34B18.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71131019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Well-posedness and blow-up for an inhomogeneous semilinear parabolic equation 一类非齐次抛物型方程的适定性和爆破
IF 0.3
Differential Equations & Applications Pub Date : 2020-08-04 DOI: 10.7153/DEA-2021-13-06
M. Majdoub
{"title":"Well-posedness and blow-up for an inhomogeneous semilinear parabolic equation","authors":"M. Majdoub","doi":"10.7153/DEA-2021-13-06","DOIUrl":"https://doi.org/10.7153/DEA-2021-13-06","url":null,"abstract":"We consider the large-time behavior of sign-changing solutions of the inhomogeneous equation $u_t-Delta u=|x|^alpha |u|^{p}+zeta(t),{mathbf w}(x)$ in $(0,infty)times{mathbb{R}}^N$, where $Ngeq 3$, $p>1$, $alpha>-2$, $zeta, {mathbf w}$ are continuous functions such that $zeta(t)sim t^sigma$ as $tto 0$, $zeta(t)sim t^m$ as $ttoinfty$ . We obtain local existence for $sigma>-1$. We also show the following: \u0000$-$ If $mleq 0$, $p 0$, then all solutions blow up in finite time; \u0000$-$ If $m> 0$, $p>1$ and $int_{mathbb{R}^N}{mathbf w}(x)dx>0$, then all solutions blow up in finite time. \u0000The main novelty in this paper is that blow up depends on the behavior of $zeta$ at infinity.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49114865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
On weakly nonlinear boundary value problems on infinite intervals 无限区间上的弱非线性边值问题
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-31 DOI: 10.7153/dea-2020-12-12
B. Freedman, Jesús F. Rodríguez
{"title":"On weakly nonlinear boundary value problems on infinite intervals","authors":"B. Freedman, Jesús F. Rodríguez","doi":"10.7153/dea-2020-12-12","DOIUrl":"https://doi.org/10.7153/dea-2020-12-12","url":null,"abstract":"In this paper, we study weakly nonlinear boundary value problems on infinite intervals. For such problems, we provide criteria for the existence of solutions as well as a qualitative description of the behavior of solutions depending on a parameter. We investigate the relationship between solutions to these weakly nonlinear problems and the solutions to a set of corresponding linear problems.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46676655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of positive solution for a class of nonlocal problem with strong singularity and linear term 一类具有强奇异和线性项的非局部问题正解的存在性
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-18
A. Hou, Jia‐Feng Liao
{"title":"Existence of positive solution for a class of nonlocal problem with strong singularity and linear term","authors":"A. Hou, Jia‐Feng Liao","doi":"10.7153/dea-2020-12-18","DOIUrl":"https://doi.org/10.7153/dea-2020-12-18","url":null,"abstract":". We consider a class of nonlocal problem with strong singularity and linear term. Com- bining with the variational method and Nehari manifold, a necessary and suf fi cient condition that shows the existence of positive solution is obtained.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Parabolic anisotropic problems with lower order terms and integrable data 具有低阶项和可积数据的抛物各向异性问题
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-26
M. Chrif, S. E. Manouni, H. Hjiaj
{"title":"Parabolic anisotropic problems with lower order terms and integrable data","authors":"M. Chrif, S. E. Manouni, H. Hjiaj","doi":"10.7153/dea-2020-12-26","DOIUrl":"https://doi.org/10.7153/dea-2020-12-26","url":null,"abstract":"In this paper we are concerned with the study of a class of second-order quasilinear parabolic equations involving Leray-Lions type operators with anisotropic growth conditions. By an approximation argument, we estabilsh the existence of entropy solutions in the framework of anisotropic parabolic Sobolev spaces when the initial condition and the data are assumed to be merely integrable. In addition, we prove that entropy solutions coincide with the renormalized solutions.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On singular elliptic equation with singular nonlinearities, Hardy-Sobolev critical exponent and weights 具有奇异非线性、Hardy-Sobolev临界指数和权值的奇异椭圆方程
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-25
Mohammed El Mokhtar Ould El Mokhtar, Zeid I. Almuhiameed
{"title":"On singular elliptic equation with singular nonlinearities, Hardy-Sobolev critical exponent and weights","authors":"Mohammed El Mokhtar Ould El Mokhtar, Zeid I. Almuhiameed","doi":"10.7153/dea-2020-12-25","DOIUrl":"https://doi.org/10.7153/dea-2020-12-25","url":null,"abstract":". This article is devoted to the existence and multiplicity to the following singular ellip- tic equation with singular nonlinearities, Hardy-Sobolev critical exponent and weights: where Ω is a smooth bounded domain in R N ( N (cid:2) 3 ) , 0 ∈ Ω , λ > 0, 0 (cid:3) μ < μ N : = ( N − 2 ) 2 / 4, p = 2 ∗ ( s ) = 2 ( N − s ) / ( N − 2 ) with 0 < s < 2 is the critical Hardy-Sobolev critical exponent, 0 (cid:3) α < N ( p − 1 + β ) / p , 0 < β < 1 and 2 < p (cid:3) 2 ∗ : = 2 N / ( N − 2 ) is the critical Sobolev exponent. By using the Nehari manifold and mountain pass theorem, the existence of at least four distinct solutions is obtained.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Asymptotics for the Sobolev type equations with pumping 带抽运的Sobolev型方程的渐近性
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-08
Jhon J. Pérez
{"title":"Asymptotics for the Sobolev type equations with pumping","authors":"Jhon J. Pérez","doi":"10.7153/dea-2020-12-08","DOIUrl":"https://doi.org/10.7153/dea-2020-12-08","url":null,"abstract":". We consider the large time asymptotic behavior of solutions to the initial-boundary value problem where n ∈ N . We fi nd large time asymptotic formulas of solutions for three different cases 1 ) a =","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"48 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of solution for non-autonomous semilinear measure driven equations 非自治半线性测度驱动方程解的存在性
IF 0.3
Differential Equations & Applications Pub Date : 2020-01-01 DOI: 10.7153/dea-2020-12-20
Surendra Kumar, R. Agarwal
{"title":"Existence of solution for non-autonomous semilinear measure driven equations","authors":"Surendra Kumar, R. Agarwal","doi":"10.7153/dea-2020-12-20","DOIUrl":"https://doi.org/10.7153/dea-2020-12-20","url":null,"abstract":"Summary: This work is concerned with the existence of a solution for non-autonomous measure driven semilinear equation in Banach spaces. The Schauder fixed point theorem is utilized to explore the existence of a solution. Finally, we construct an example to demonstrate the acquired outcomes.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":"11 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71130903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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