On a boundary value problem for ap-Dirac equation

DOI10.1002/mma.3847zbMath1357.30034OpenAlexW2274631588MaRDI QIDQ3187853

Zainab R. al-Yasiri, Klaus Gürlebeck

Publication date: 5 September 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3847

zbMATH Keywords

\(p\)-Laplace equationClifford analysis\(p\)-Dirac equation

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Strong solutions to PDEs (35D35)

Related Items (1)

On representations of real analytic functions by monogenic functions

Cites Work

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• Mini-workshop: The \(p\)-Laplacian operator and applications. Abstracts from the workshop held February 10--16, 2013.
• Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points
• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
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• A two-phase obstacle-type problem for the \(p\)-Laplacian
• On \(p\)-harmonic mappings in the plane
• A property of multiplication in Sobolev spaces. Some applications
• Quaternionic analysis and elliptic boundary value problems
• Regularity of the \(p\)-Poisson equation in the plane
• The Carnot-Carathéodory distance vis-à-vis the eikonal equation and the infinite Laplacian
• Maximum principles and nonexistence results for radial solutions to equations involvingp-Laplacian
• On a generalized Appell system and monogenic power series
• On a spatial generalization of the Kolosov–Muskhelishvili formulae

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