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Matematicheskie Zametki, 2021, Volume 110, Issue 6, paper published in the English version journal (Mi mzm13376)  
This article is cited in 2 scientific papers (total in 2 papers)

Papers published in the English version of the journal

Existence Results for Nonlinear Elliptic Equations with Leray–Lions Operators in Sobolev Spaces with Variable Exponents

M. Mosa Al-Shomrania, M. Ben Mohamed Salahb, A. Ghanmib, K. Kefic

a Department of Mathematics, Faculty of Science, King Abdulaziz university, P. O. Box 80203, Jeddah, 21589 Saudi Arabia
b Mathematics Department, Faculty of Sciences, University of Tunis El Manar, Tunis, 2092 Tunisia
c Faculty of Computer Science and Information Technology, Northern Border University, Rafha, 9111 Saudi Arabia
Citations (2)
Abstract: This paper deals with the existence of a solution of a problem involving Leray–Lions type operators in Sobolev spaces with variable exponent. The proofs of our main results combine variational methods with energy estimates and Ekeland's variational principle. This paper improves and generalizes previous ones in literature, more precisely those of K. Kefi and V. Rãdulescu (Z. Angew. Math. Phys. 68, 80 (2017)) and M. M Boureanu (Discrete Contin. Dyn. Syst. Ser S, 12 (2) : 231-243 (2019)).
Keywords: Leray–Lions type operators, variational methods, generalized Sobolev space, fourth-order partial differential equations, variable exponents, Ekeland's variational principle.
Funding agency Grant number
Deanship of Scientific Research
The first author acknowledges with thanks the support of the Deanship Sсientific Research (DSR) at King Abdulaziz University, Jeddah.
Received: 17.11.2020
Revised: 20.06.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 6, Pages 830–841
DOI: https://doi.org/10.1134/S0001434621110201
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. Mosa Al-Shomrani, M. Ben Mohamed Salah, A. Ghanmi, K. Kefi, “Existence Results for Nonlinear Elliptic Equations with Leray–Lions Operators in Sobolev Spaces with Variable Exponents”, Math. Notes, 110:6 (2021), 830–841
Citation in format AMSBIB
\Bibitem{MosBenGha21}
\by M.~Mosa Al-Shomrani, M.~Ben Mohamed Salah, A.~Ghanmi, K.~Kefi
\paper Existence Results for Nonlinear Elliptic Equations
with Leray--Lions Operators in Sobolev Spaces
with Variable Exponents
\jour Math. Notes
\yr 2021
\vol 110
\issue 6
\pages 830--841
\mathnet{http://mi.mathnet.ru/mzm13376}
\crossref{https://doi.org/10.1134/S0001434621110201}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000730355100020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85121488799}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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