On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space

DOI10.1134/S1990478919030025zbMath1438.35136OpenAlexW2971285408WikidataQ127280325 ScholiaQ127280325MaRDI QIDQ4973177

Lina Nikolaevna Bondar

Publication date: 2 December 2019

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478919030025

zbMATH Keywords

Sobolev spaceboundary value problemelliptic systemsolvability conditionLopatinskii condition

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (1)

On solvability of one class of quasielliptic systems

Cites Work

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• Conditions for the solvability of boundary value problems for quasi-elliptic systems in a half-space
• Integral operators determined by quasielliptic equations. II
• Solvability of boundary value problems for quasielliptic systems in weighted Sobolev spaces
• MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC PROBLEMS WITH A DISCONTINUOUS NONLINEARITY
• Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems
• Solvability Conditions for the Second Boundary Value Problem for the Navier System
• Solvability of boundary problems for general elliptic systems

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