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On the Structure of Solutions $\Delta ^2 u = \lambda u$ Which Satisfy the Clamped Plate Conditions on a Right Angle - MaRDI portal

On the Structure of Solutions $\Delta ^2 u = \lambda u$ Which Satisfy the Clamped Plate Conditions on a Right Angle (Q3964078)

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On the Structure of Solutions $\Delta ^2 u = \lambda u$ Which Satisfy the Clamped Plate Conditions on a Right Angle
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    On the Structure of Solutions $\Delta ^2 u = \lambda u$ Which Satisfy the Clamped Plate Conditions on a Right Angle (English)
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    1982
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    nontrivial solutions
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    quarter circle
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    on any ray through origin
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    u either vanishes identically or oscillates infinitely often
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    special elementary solutions
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    expansion of general solution
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    elliptic boundary value problems near angular or conical point of boundary
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    behaviour of eigenfunctions of Laplacian at angular point
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