Pub Date : 2023-10-09DOI: 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}
Pub Date : 2023-09-29DOI: 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}
Pub Date : 2023-09-25DOI: 10.1007/s41808-023-00247-3
Youssouf Chahma, Haibo Chen
{"title":"Sign-changing solutions for p-Laplacian Kirchhoff-type equations with critical exponent","authors":"Youssouf Chahma, Haibo Chen","doi":"10.1007/s41808-023-00247-3","DOIUrl":"https://doi.org/10.1007/s41808-023-00247-3","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135817000","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 : 2023-09-18DOI: 10.1007/s41808-023-00246-4
A. M. Kawala, H. K. Abdelaziz
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.
{"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}
Pub Date : 2023-09-05DOI: 10.1007/s41808-023-00244-6
Nguyen Thi Ngoc Oanh
{"title":"On the inverse problem for one-dimensional Burgers’ equation from the interior observation","authors":"Nguyen Thi Ngoc Oanh","doi":"10.1007/s41808-023-00244-6","DOIUrl":"https://doi.org/10.1007/s41808-023-00244-6","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"18 1","pages":"1329 - 1339"},"PeriodicalIF":0.8,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80471659","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 : 2023-09-05DOI: 10.1007/s41808-023-00245-5
R. Echarghaoui, Rachid Sersif
{"title":"Infinitely many solutions for a double critical Sobolev problem with concave nonlinearities","authors":"R. Echarghaoui, Rachid Sersif","doi":"10.1007/s41808-023-00245-5","DOIUrl":"https://doi.org/10.1007/s41808-023-00245-5","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"73 1","pages":"1245 - 1270"},"PeriodicalIF":0.8,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80544299","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 : 2023-08-27DOI: 10.1007/s41808-023-00243-7
M. Soluki, S. H. Rasouli, G. Afrouzi
{"title":"Solutions of a Schrödinger–Kirchhoff–Poisson system with concave–convex nonlinearities","authors":"M. Soluki, S. H. Rasouli, G. Afrouzi","doi":"10.1007/s41808-023-00243-7","DOIUrl":"https://doi.org/10.1007/s41808-023-00243-7","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"25 1","pages":"1233 - 1244"},"PeriodicalIF":0.8,"publicationDate":"2023-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74018232","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 : 2023-08-20DOI: 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}
Pub Date : 2023-08-11DOI: 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}
Pub Date : 2023-08-08DOI: 10.1007/s41808-023-00236-6
A. Salmani, Y. Akdim, Ahmed Sanhaji
{"title":"Solvability of nonlinear anisotropic elliptic unilateral problems with variable exponent and measure data","authors":"A. Salmani, Y. Akdim, Ahmed Sanhaji","doi":"10.1007/s41808-023-00236-6","DOIUrl":"https://doi.org/10.1007/s41808-023-00236-6","url":null,"abstract":"","PeriodicalId":54011,"journal":{"name":"Journal of Elliptic and Parabolic Equations","volume":"66 1","pages":"1165 - 1193"},"PeriodicalIF":0.8,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79116294","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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