On the Fredholm property and index of the generalized Neumann problem

DOI10.1134/S001226612002007XzbMath1440.35089OpenAlexW3010745143MaRDI QIDQ2185082

Alexandr P. Soldatov

Publication date: 4 June 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226612002007x

zbMATH Keywords

boundary value problemsFredholm propertyelliptic equations of second order

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40)

Related Items (6)

Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation ⋮ Green's functions of some boundary value problems for the biharmonic equation ⋮ On a boundary problem for a fourth-order elliptic equation on a plane ⋮ Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball ⋮ On the solvability of the generalized Neumann problem for a higher-order elliptic equation in an infinite domain ⋮ Green's functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball

Cites Work

• Boundary value problem with normal derivatives for a higher-order elliptic equation on the plane
• Riquier-Neumann problem for the polyharmonic equation in a ball
• On the Dirichlet-Riquier problem for biharmonic equations
• On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball
• Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation
• Generalized third boundary value problem for the biharmonic equation
• General boundary value problems for elliptic partial differential equations
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