Integral estimates of solutions to boundary values problems for the Poisson equation

DOI10.3103/S1066369X23100018OpenAlexW4390774758MaRDI QIDQ6117485

Anvar R. Kacimov, Farit G. Avkhadiev

Publication date: 19 February 2024

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23100018

zbMATH Keywords

Dirichlet problemPoisson equationmixed boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Isoperimetric inequalities for conformal moments of plane domains
• Comparison theorems of isoperimetric type for moments of compact sets
• Isoperimetric inequality for torsional rigidity in multidimensional domains
• New isoperimetric inequalities for moments of domains and torsional rigidity
• Torsional Rigidity and Expected Lifetime of Brownian Motion
• Solution of the generalized Saint Venant problem
• Embedding theorems related to torsional rigidity and principal frequency
• The normal derivative lemma and surrounding issues
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• The Saint‐Venant type isoperimetric inequalities for assessing saturated water storage in lacunary shallow perched aquifers

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