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Estimates of generalized solutions of the Dirichlet problem for quasilinear elliptic equations of the second order in a domain with conical boundary point

We obtain a priori estimates for generalized second derivatives (in the Sobolev weighted norm) of solutions of the Dirichlet problem for the elliptic equation $$\frac{d}{{dx_i }}a_i (x,u,u_x ) + a(x,u,u_x ) = 0,x \in G,$$ in the neighborhood of a conical boundary point of the domain G. We give a...

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Datum:	1998
Hauptverfasser:	Borsuk, M. V., Plesha, M. I., Борсук, М. В., Плеша, М. І.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1998
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/4816
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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