SOLVABILITY CRITERIA FOR THE NEUMANN p-LAPLACIAN WITH IRREGULAR DATA 2019 (English)In: St. Petersburg Mathematical Journal, ISSN 1061-0022, E-ISSN 1547-7371, Vol. 30, no 3, p. 485-492Article in journal (Refereed) Published

Abstract [en]

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.

Place, publisher, year, edition, pages

AMER MATHEMATICAL SOC , 2019. Vol. 30, no 3, p. 485-492

Keywords [en]

Level surface; weak solution; Poincare inequality; isocapacitary function

National Category

Mathematical Analysis

Identifiers

URN: urn:nbn:se:liu:diva-157282DOI: 10.1090/spmj/1555ISI: 000464555700008OAI: oai:DiVA.org:liu-157282DiVA, id: diva2:1323797

Available from: 2019-06-12 Created: 2019-06-12 Last updated: 2019-06-12

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Mazya, Vladimir

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Mathematics and Applied MathematicsFaculty of Science & Engineering

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