Perron’s Method in the Dirichlet Problem for the Soft Laplacian on a Stratified Set
Dairbekov N.S. Penkin O.M. Savasteev D.V.
February 2025Pleiades Publishing
Doklady Mathematics
2025#111Issue 116 - 19 pp.
Abstract: The solvability of the Dirichlet problem for the soft Laplacian on a stratified set is proved using a modification of the well-known Perron method.
Harnack convergence theorem , Harnack’s inequality , mean value theorem , soft Laplacian , stratified measure
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SDU University, Kaskelen, Kazakhstan
Voronezh State University, Voronezh, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
SDU University
Voronezh State University
Institute of Mathematics and Mathematical Modeling
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