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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 218, Number 1, Pages 124–148
DOI: https://doi.org/10.4213/tmf10535 (Mi tmf10535) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain

L. M. Kozhevnikovaab

a Sterlitamak Branch, Ufa University of Science and Technology, Sterlitamak, Russia
b Elabuga Branch, Kazan (Volga Region) Federal University, Elabuga, Russia
Full-text PDF (566 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf10535
Abstract: We consider a second-order quasilinear elliptic equation with an integrable right-hand side. We formulate constraints on the structure of the equation in terms of a generalized NN-function. We prove the existence of an entropic solution of the Dirichlet problem in nonreflexive Musielak–Orlicz–Sobolev spaces in an arbitrary unbounded strictly Lipschitz domain.
Keywords: quasilinear elliptic equation, entropic solution, unbounded domain, existence of solution, Musielak–Orlicz space.
Received: 15.05.2023
Revised: 02.06.2023
English version:
Theoretical and Mathematical Physics, 2024, Volume 218, Issue 1, Pages 106–128
DOI: https://doi.org/10.1134/S0040577924010082
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. M. Kozhevnikova, “Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain”, TMF, 218:1 (2024), 124–148; Theoret. and Math. Phys., 218:1 (2024), 106–128
Citation in format AMSBIB
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\by L.~M.~Kozhevnikova
\paper Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain
\jour TMF
\yr 2024
\vol 218
\issue 1
\pages 124--148
\mathnet{http://mi.mathnet.ru/tmf10535}
\crossref{https://doi.org/10.4213/tmf10535}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4700047}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2024TMP...218..106K}
\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 218
\issue 1
\pages 106--128
\crossref{https://doi.org/10.1134/S0040577924010082}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85183771841}
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  • https://www.mathnet.ru/eng/tmf10535
  • https://doi.org/10.4213/tmf10535
  • https://www.mathnet.ru/eng/tmf/v218/i1/p124
    • This publication is cited in the following 4 articles:
    1. L. M. Kozhevnikova, “Suschestvovanie renormalizovannogo resheniya nelineinogo ellipticheskogo uravneniya s L1L1-dannymi v prostranstve Rn”, Funktsionalnye prostranstva. Differentsialnye operatory. Problemy matematicheskogo obrazovaniya, SMFN, 70, no. 2, Rossiiskii universitet druzhby narodov, M., 2024, 278–299  mathnet  crossref
    2. L. M. Kozhevnikova, “Existence of a Renormalized Solution of a Quasilinear Elliptic Equation without the Sign Condition on the Lower-Order Term”, Diff Equat, 60:6 (2024), 729  crossref
    3. F. Kh. Mukminov, O. S. Stekhun, “Existence and uniqueness of solutions to outer Zaremba problem for elliptic equations with measure–valued potential”, Ufa Math. J., 16:4 (2024), 53–75  mathnet  crossref
    4. L. M. Kozhevnikova, “Existence of a Renormalized Solution to a Nonlinear Elliptic Equation with L1-Data in the Space ℝn”, J Math Sci, 2024  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:40
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