Boundary value problems in Euclidean space for bosonic Laplacians
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00139555" target="_blank" >RIV/00216224:14310/24:00139555 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s40627-024-00132-2" target="_blank" >https://link.springer.com/article/10.1007/s40627-024-00132-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40627-024-00132-2" target="_blank" >10.1007/s40627-024-00132-2</a>
Alternative languages
Result language
angličtina
Original language name
Boundary value problems in Euclidean space for bosonic Laplacians
Original language description
A bosonic Laplacian is a conformally invariant second order differential operator acting on smooth functions defined on domains in Euclidean space and taking values in higher order irreducible representations of the special orthogonal group, in this case, the irreducible representation spaces of homogeneous harmonic polynomials. In this paper, we study boundary value problems involving bosonic Laplacians in the upper-half space and the unit ball. Poisson kernels in the upper-half space and the unit ball are constructed, which give us solutions to the Dirichlet problems with L^p boundary data, 1 le p le infty. We also prove the uniqueness for solutions to the Dirichlet problems with continuous data for bosonic Laplacians and provide analogs of some properties of harmonic functions for null solutions of bosonic Laplacians, for instance, Cauchy’s estimates, the mean-value property, Liouville’s Theorem, etc.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GJ19-14413Y" target="_blank" >GJ19-14413Y: Linear and nonlinear elliptic equations with singular data and related problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Complex Analysis and its Synergies
ISSN
2524-7581
e-ISSN
2197-120X
Volume of the periodical
10
Issue of the periodical within the volume
2
Country of publishing house
CH - SWITZERLAND
Number of pages
13
Pages from-to
1-13
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85188295547