Solvability of the Neumann Problem in a Disk for Fourth-Order Properly Elliptic Equations


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Abstract

We establish and study sufficient conditions of solvability of the Neumann problem for fourth-order properly elliptic equations of the general form in a unit disk K in the space \( {C}^4(K)\cap {C}^{3,\upalpha}\left(\overline{K}\right) \).

About the authors

K. O. Buryachenko

Donets’k National University

Email: Jade.Santos@springer.com
Ukraine, Donets’k

A. I. Kharabara

Donets’k National University

Email: Jade.Santos@springer.com
Ukraine, Donets’k

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