On the existence of solutions to boundary value problems for nonlinear equilibrium equations of shallow anisotropic shells of Timoshenko type in Sobolev space

DOI10.3103/S1066369X22040065zbMath1506.35072OpenAlexW4313002680MaRDI QIDQ2112354

S. N. Timergaliev

Publication date: 10 January 2023

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

Full work available at URL: https://doi.org/10.3103/s1066369x22040065

zbMATH Keywords

existencenonlinear boundary value problemsystem of second-order nonlinear equations

Mathematics Subject Classification ID

Plates (74K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• On the existence of solutions to geometrically nonlinear problems for shallow Timoshenko-type shells with free edges
• Method of integral equations for studying the solvability of boundary value problems for the system of nonlinear differential equations of the theory of Timoshenko type shallow inhomogeneous shells
• Consistent equations of nonlinear multilayer shells theory in the quadratic approximation
• On the solvability of nonlinear boundary value problems for the system of differential equations of equilibrium of shallow anisotropic Timoshenko-type shells with free edges
• On the problem of solvability of nonlinear boundary value problems for arbitrary isotropic shallow shells of the Timoshenko type with free edges
• On existence of solutions of nonlinear equilibrium problems on shallow inhomogeneous anisotropic shells of the Timoshenko type
• On the existence of solutions of a nonlinear boundary value problem for the system of partial differential equations of the theory of Timoshenko type shallow shells with free edges
• A method of integral equations in nonlinear boundary-value problems for flat shells of the Timoshenko type with free edges
• Solvability of physically and geometrically nonlinear problem of the theory of sandwich plates with transversally-soft core

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