On overdetermined boundary value problems for the biharmonic operator

DOI10.1006/jmaa.1994.1377zbMath0810.35020OpenAlexW2086083890MaRDI QIDQ1340576

Lawrence E. Payne, Philip W. Schaefer

Publication date: 23 January 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1377

zbMATH Keywords

biharmonic operatoroverdetermined boundary value problems

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (10)

Stability analysis of an overdetermined fourth order boundary value problem via an integral identity ⋮ On some second order and fourth order elliptic overdetermined problems ⋮ A duality theorem for an overdetermined eigenvalue problem ⋮ Maximum principles and symmetry results for a class of fully nonlinear elliptic PDEs ⋮ Existence and Symmetry results for some overdetermined free boundary problems ⋮ An overdetermined problem of the biharmonic operator on Riemannian manifolds ⋮ Symmetry and rigidity for the hinged composite plate problem ⋮ On a conjecture for an overdetermined problem for the biharmonic operator ⋮ On overdetermined eigenvalue problems for the polyharmonic operator ⋮ An overdetermined problem in Riesz-potential and fractional Laplacian

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