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Behaviour of solutions to the dirichlet problem for the biharmonic operator at a boundary point

https://doi.org/10.1007/bfb0067279
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/sapm19243124openalex-snapshot
Certain Notions in Potential Theory
inferredcites →https://doi.org/10.1002/sapm192433127openalex-snapshot
The Dirichlet Problem
inferredcites →https://doi.org/10.1090/s0002-9904-1976-14146-8openalex-snapshot
A gradient estimate at the boundary for solutions of quasilinear elliptic equations
inferredcites →https://doi.org/10.5802/aif.125openalex-snapshot
Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/mma.6721openalex-snapshot
Existence of solutions for some non‐Fredholm integro‐differential equations with the bi‐Laplacian
inferred← citeshttps://doi.org/10.1007/978-0-387-85648-3_8openalex-snapshot
A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions
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Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains
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On Maz’ya’s work in potential theory and the theory of function spaces
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Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey
inferred← citeshttps://doi.org/10.1007/978-94-011-1138-6_1openalex-snapshot
Nonlinear PDE and the Wiener Test
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Problems
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The vertex of a cone can be nonregular in the Wiener sense for a fourth-order elliptic equation
inferred← citeshttps://doi.org/10.1007/bf02107253openalex-snapshot
Modulus of continuity of a harmonic function at a boundary point
inferred← citeshttps://doi.org/10.1007/bf02384490openalex-snapshot
On weighted positivity and the Wiener regularity of a boundary point for the fractional Laplacian
inferred← citeshttps://doi.org/10.1007/bf02922138openalex-snapshot
On estimates of biharmonic functions on Lipschitz and convex domains
inferred← citeshttps://doi.org/10.1007/s00030-009-0025-xopenalex-snapshot
On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach
inferred← citeshttps://doi.org/10.1007/s00208-006-0022-xopenalex-snapshot
Necessary and Sufficient Conditions for the Solvability of the L p Dirichlet Problem on Lipschitz Domains
inferred← citeshttps://doi.org/10.1007/s00220-023-04632-wopenalex-snapshot
The Wiener Criterion for Nonlocal Dirichlet Problems
inferred← citeshttps://doi.org/10.1007/s00222-008-0150-xopenalex-snapshot
Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation
inferred← citeshttps://doi.org/10.1007/s00222-013-0464-1openalex-snapshot
Regularity of solutions to the polyharmonic equation in general domains
inferred← citeshttps://doi.org/10.1007/s10958-015-2572-5openalex-snapshot
Pointwise Inequalities for Elliptic Boundary Value Problems
inferred← citeshttps://doi.org/10.1007/s11118-007-9058-0openalex-snapshot
Weighted Positivity of Second Order Elliptic Systems
inferred← citeshttps://doi.org/10.1070/rm1983v038n02abeh003470openalex-snapshot
Boundary-value problems for partial differential equations in non-smooth domains
inferred← citeshttps://doi.org/10.1080/00036819908840710openalex-snapshot
On the wiener type regularity of a boundary point for the polyharmonic operator
inferred← citeshttps://doi.org/10.1080/03605300801891919openalex-snapshot
Boundedness of the Hessian of a Biharmonic Function in a Convex Domain
inferred← citeshttps://doi.org/10.1090/proc/16647openalex-snapshot
Boundary estimates and a Wiener criterion for the fractional Laplacian
inferred← citeshttps://doi.org/10.1142/9789814295574_0016openalex-snapshot
A survey on potential theory on Orlicz spaces
inferred← citeshttps://doi.org/10.1515/anona-2021-0217openalex-snapshot
Entire solutions of certain fourth order elliptic problems and related inequalities
inferred← citeshttps://doi.org/10.24297/jam.v9i9.2236openalex-snapshot
Boundedness of the gradient of a solution for the fourth order equation in general domains
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