On the non-vanishing property for real analytic solutions of the $p$-Laplace equation

DOI10.1090/PROC/12912zbMath1360.35069arXiv1503.03234OpenAlexW3105611581MaRDI QIDQ2796707

Vladimir G. Tkachev

Publication date: 29 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03234

zbMATH Keywords

idempotents\(p\)-Laplace equationnonassociative algebras\(p\)-harmonic functionsPeirce decompositions

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonassociative algebras satisfying other identities (17A30) Quasilinear elliptic equations with (p)-Laplacian (35J92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Polynomial solutions to PDEs (35C11)

Related Items (9)

A correction of the decomposability result in a paper by Meyer-Neutsch ⋮ New explicit solutions to the \(p\)-Laplace equation based on isoparametric foliations ⋮ The universality of one half in commutative nonassociative algebras with identities ⋮ Algebraic CMC hypersurfaces of order 3 in Euclidean spaces ⋮ On \(p\) Laplace polynomial solutions ⋮ On an extremal property of Jordan algebras of Clifford type ⋮ Spectral properties of nonassociative algebras and breaking regularity for nonlinear elliptic type PDEs ⋮ Note on an eigenvalue problem for an ODE originating from a homogeneous $p$-harmonic function ⋮ The commutative nonassociative algebra of metric curvature tensors

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