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A variational approach for some singular elliptic problems with Hardy potential 哈代势奇异椭圆问题的变分法
IF 0.8
Journal of Elliptic and Parabolic Equations Pub Date : 2024-01-05 DOI: 10.1007/s41808-023-00260-6
Sajad Behvandi, Jafar Esmaily, Mohammad Reza Heidari Tavani, Mahmood Alizadeh
{"title":"A variational approach for some singular elliptic problems with Hardy potential","authors":"Sajad Behvandi, Jafar Esmaily, Mohammad Reza Heidari Tavani, Mahmood Alizadeh","doi":"10.1007/s41808-023-00260-6","DOIUrl":"https://doi.org/10.1007/s41808-023-00260-6","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"14 26","pages":"1-12"},"PeriodicalIF":0.8,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139382796","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 and multiplicity of non-trivial solutions for fractional Schrödinger–Poisson systems with a combined nonlinearity 具有组合非线性的分数薛定谔-泊松系统非三解的存在性和多重性
IF 0.8
Journal of Elliptic and Parabolic Equations Pub Date : 2024-01-03 DOI: 10.1007/s41808-023-00258-0
M. Soluki, G. Afrouzi, S. H. Rasouli
{"title":"Existence and multiplicity of non-trivial solutions for fractional Schrödinger–Poisson systems with a combined nonlinearity","authors":"M. Soluki, G. Afrouzi, S. H. Rasouli","doi":"10.1007/s41808-023-00258-0","DOIUrl":"https://doi.org/10.1007/s41808-023-00258-0","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"36 3","pages":"1-14"},"PeriodicalIF":0.8,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389126","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
Fractional Musielak spaces: a class of non-local problem involving concave–convex nonlinearity 分数阶Musielak空间:一类涉及凹凸非线性的非局部问题
Journal of Elliptic and Parabolic Equations Pub Date : 2023-11-13 DOI: 10.1007/s41808-023-00252-6
Hamza El-Houari, Moussa Hicham, Soufiane Kassimi, Hajar Sabiki
{"title":"Fractional Musielak spaces: a class of non-local problem involving concave–convex nonlinearity","authors":"Hamza El-Houari, Moussa Hicham, Soufiane Kassimi, Hajar Sabiki","doi":"10.1007/s41808-023-00252-6","DOIUrl":"https://doi.org/10.1007/s41808-023-00252-6","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"29 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136347065","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
On the condition number of the finite element method for the Laplace–Beltrami operator Laplace-Beltrami算子有限元法的条件数
Journal of Elliptic and Parabolic Equations Pub Date : 2023-10-30 DOI: 10.1007/s41808-023-00251-7
Marcial Nguemfouo, Michaël Ndjinga
{"title":"On the condition number of the finite element method for the Laplace–Beltrami operator","authors":"Marcial Nguemfouo, Michaël Ndjinga","doi":"10.1007/s41808-023-00251-7","DOIUrl":"https://doi.org/10.1007/s41808-023-00251-7","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"218 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136022723","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
Asymptotics for the infinite Brownian loop on noncompact symmetric spaces 非紧对称空间上无限布朗环的渐近性
Journal of Elliptic and Parabolic Equations Pub Date : 2023-10-25 DOI: 10.1007/s41808-023-00250-8
Effie Papageorgiou
{"title":"Asymptotics for the infinite Brownian loop on noncompact symmetric spaces","authors":"Effie Papageorgiou","doi":"10.1007/s41808-023-00250-8","DOIUrl":"https://doi.org/10.1007/s41808-023-00250-8","url":null,"abstract":"Abstract The infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length T around a fixed origin when $$T rightarrow +infty $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>T</mml:mi> <mml:mo>→</mml:mo> <mml:mo>+</mml:mo> <mml:mi>∞</mml:mi> </mml:mrow> </mml:math> . The aim of this note is to study its long-time asymptotics on Riemannian symmetric spaces G / K of noncompact type and of general rank. This amounts to the behavior of solutions to the heat equation subject to the Doob transform induced by the ground spherical function. Unlike the standard Brownian motion, we observe in this case phenomena which are similar to the Euclidean setting, namely $$L^1$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:math> asymptotic convergence without requiring bi- K -invariance for initial data, and strong $$L^{infty }$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>∞</mml:mi> </mml:msup> </mml:math> convergence.","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"26 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134974238","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
On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition 一类具有Neumann边界条件的非局部型不连续非线性椭圆型问题
Journal of Elliptic and Parabolic Equations Pub Date : 2023-10-09 DOI: 10.1007/s41808-023-00248-2
Ghizlane Zineddaine, Abdelaziz Sabiry, Said Melliani, Abderrazak Kassidi
{"title":"On a discontinuous nonlinear elliptic problem of nonlocal-type with Neumann boundary condition","authors":"Ghizlane Zineddaine, Abdelaziz Sabiry, Said Melliani, Abderrazak Kassidi","doi":"10.1007/s41808-023-00248-2","DOIUrl":"https://doi.org/10.1007/s41808-023-00248-2","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135092684","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
Critical nonhomogeneous fourth-order Schrödinger–Kirchhoff-type equations 临界非齐次四阶Schrödinger-Kirchhoff-type方程
Journal of Elliptic and Parabolic Equations Pub Date : 2023-09-29 DOI: 10.1007/s41808-023-00249-1
Antônio de Pádua Farias de Souza Filho
{"title":"Critical nonhomogeneous fourth-order Schrödinger–Kirchhoff-type equations","authors":"Antônio de Pádua Farias de Souza Filho","doi":"10.1007/s41808-023-00249-1","DOIUrl":"https://doi.org/10.1007/s41808-023-00249-1","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194009","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 hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation 基于Lucas多项式的混合方法求解分数阶扩散偏微分方程
Journal of Elliptic and Parabolic Equations Pub Date : 2023-09-18 DOI: 10.1007/s41808-023-00246-4
A. M. Kawala, H. K. Abdelaziz
{"title":"A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation","authors":"A. M. Kawala, H. K. Abdelaziz","doi":"10.1007/s41808-023-00246-4","DOIUrl":"https://doi.org/10.1007/s41808-023-00246-4","url":null,"abstract":"Abstract This paper presents a new numerical technique to approximate solutions of diffusion partial differential equations with Caputo fractional derivatives. We use a spectral collocation method based on Lucas polynomials for time fractional derivatives and a finite difference scheme in space. Stability and error analyses of the proposed technique are established. To demonstrate the reliability and efficiency of our new technique, we applied the method to a number of examples. The new technique is simply applicable, and the results show high efficiency in calculation and approximation precision.","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135203559","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
Infinitely many positive energy solutions for an elliptic equation involving critical Sobolev growth, Hardy potential and concave–convex nonlinearity 涉及Sobolev生长、Hardy势和凹凸非线性的椭圆型方程的无穷多正能量解
IF 0.8
Journal of Elliptic and Parabolic Equations Pub Date : 2023-08-20 DOI: 10.1007/s41808-023-00242-8
Khalid Bouabid, R. Echarghaoui
{"title":"Infinitely many positive energy solutions for an elliptic equation involving critical Sobolev growth, Hardy potential and concave–convex nonlinearity","authors":"Khalid Bouabid, R. Echarghaoui","doi":"10.1007/s41808-023-00242-8","DOIUrl":"https://doi.org/10.1007/s41808-023-00242-8","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"138 1","pages":"1211 - 1232"},"PeriodicalIF":0.8,"publicationDate":"2023-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88489613","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 of solutions for discrete 2n-th order periodic boundary value problem 离散2n阶周期边值问题解的多重性
IF 0.8
Journal of Elliptic and Parabolic Equations Pub Date : 2023-08-11 DOI: 10.1007/s41808-023-00241-9
O. Hammouti, N. Makran, S. Taarabti
{"title":"Multiplicity of solutions for discrete 2n-th order periodic boundary value problem","authors":"O. Hammouti, N. Makran, S. Taarabti","doi":"10.1007/s41808-023-00241-9","DOIUrl":"https://doi.org/10.1007/s41808-023-00241-9","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"16 1","pages":"1195 - 1209"},"PeriodicalIF":0.8,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73358511","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
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