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Algebra i Analiz, 2018, Volume 30, Issue 3, Pages 129–139 (Mi aa1599)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Solvability criteria for the Neumann $p$-Laplacian with irregular data

V. Maz'yaab

a Department of Mathematical Sciences, University of Liverpool, M&O Building, Liverpool, L69 3BX, UK
b Department of Mathematics, Linköping University, SE-58183, Linköping, Sweden
Full-text PDF (209 kB) Citations (2)
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Abstract: Necessary and sufficient conditions are found for the unique solvability of the Neumann problem for the $p$-Laplace operator. They characterize both the domain and measures on the right-hand sides.
Keywords: level surface, weak solution, Poincaré inequality, isocapacitary function.
Received: 04.12.2017
English version:
St. Petersburg Mathematical Journal, 2019, Volume 30, Issue 3, Pages 485–492
DOI: https://doi.org/10.1090/spmj/1555
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. Maz'ya, “Solvability criteria for the Neumann $p$-Laplacian with irregular data”, Algebra i Analiz, 30:3 (2018), 129–139; St. Petersburg Math. J., 30:3 (2019), 485–492
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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