Pub Date : 2024-01-09DOI: 10.1007/s41808-023-00259-z
Dofyniwassouani Alain Houede, I. Ibrango, Adama Ouedraogo
{"title":"Entropy solutions for some elliptic anisotropic problems involving variable exponent with Fourier boundary conditions and measure data","authors":"Dofyniwassouani Alain Houede, I. Ibrango, Adama Ouedraogo","doi":"10.1007/s41808-023-00259-z","DOIUrl":"https://doi.org/10.1007/s41808-023-00259-z","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"97 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139444487","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}
Pub Date : 2024-01-05DOI: 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}
Pub Date : 2024-01-03DOI: 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}
Pub Date : 2024-01-02DOI: 10.1007/s41808-023-00257-1
Z. E. Allali, Mohamed Karim Hamdani, S. Taarabti
{"title":"Three solutions to a Neumann boundary value problem driven by p(x)-biharmonic operator","authors":"Z. E. Allali, Mohamed Karim Hamdani, S. Taarabti","doi":"10.1007/s41808-023-00257-1","DOIUrl":"https://doi.org/10.1007/s41808-023-00257-1","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"100 15","pages":"1-15"},"PeriodicalIF":0.8,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139390316","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}
Pub Date : 2023-12-22DOI: 10.1007/s41808-023-00256-2
Manal Menchih, Khalid Hilal, A. Kajouni
{"title":"Chaotic behavior and generation theorems of conformable time and space partial differential equations in specific Lebesgue spaces","authors":"Manal Menchih, Khalid Hilal, A. Kajouni","doi":"10.1007/s41808-023-00256-2","DOIUrl":"https://doi.org/10.1007/s41808-023-00256-2","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"38 2","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138946848","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}
Pub Date : 2023-12-18DOI: 10.1007/s41808-023-00254-4
Mounir Bensalah, Mohsen Miraoui, Mehdi Zorgui
{"title":"Pseudo asymptotically Bloch periodic functions: applications for some models with piecewise constant argument","authors":"Mounir Bensalah, Mohsen Miraoui, Mehdi Zorgui","doi":"10.1007/s41808-023-00254-4","DOIUrl":"https://doi.org/10.1007/s41808-023-00254-4","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"126 5","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138965131","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}
Pub Date : 2023-12-10DOI: 10.1007/s41808-023-00253-5
Hicham Eddaoudi, Ismail Khlifi, Allami Benyaiche
{"title":"Local integrability of $$G(cdot )$$-superharmonic functions in Lebesgue and Musielak–Orlicz spaces","authors":"Hicham Eddaoudi, Ismail Khlifi, Allami Benyaiche","doi":"10.1007/s41808-023-00253-5","DOIUrl":"https://doi.org/10.1007/s41808-023-00253-5","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"6 20","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138584887","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}
Pub Date : 2023-11-13DOI: 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}
Pub Date : 2023-10-30DOI: 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}
Pub Date : 2023-10-25DOI: 10.1007/s41808-023-00250-8
Effie Papageorgiou
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 $$T rightarrow +infty $$ T→+∞ . 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 $$L^1$$ L1 asymptotic convergence without requiring bi- K -invariance for initial data, and strong $$L^{infty }$$ L∞ convergence.
{"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}
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