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On the non-vanishing property for real analytic solutions of the p-Laplace equation
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-8422-6140
2016 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 144Article in journal (Refereed) Published
Abstract [en]

By using a non-associative algebra argument, we prove that any cubic homogeneous polynomial solution to the p-Laplace equation in R^n is identically zero for any n>2 and any p distinct from 1 and 2.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2016. Vol. 144
Keyword [en]
p-Laplace equation, non-associative algebras, idempotents, Peirce decompositions, p-harmonic functions
National Category
Mathematical Analysis Algebra and Logic
URN: urn:nbn:se:liu:diva-123942DOI: 10.1090/proc/12912ISI: 000373404700009OAI: diva2:894257
Available from: 2016-01-14 Created: 2016-01-14 Last updated: 2016-05-04Bibliographically approved

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Tkachev, Vladimir
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Mathematics and Applied MathematicsFaculty of Science & Engineering
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