Estimates in \(L_ p\) and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary. (English) Zbl 0554.35035

Maz’ya, V. G.; Plamenevskij, B. A.

Transl., Ser. 2, Am. Math. Soc. 123, 1-56 (1984).

Translation from Math. Nachr. 81, 25-82 (1978; Zbl 0371.35018).

MSC:

35J40	Boundary value problems for higher-order elliptic equations
35B50	Maximum principles in context of PDEs
35B65	Smoothness and regularity of solutions to PDEs
35J67	Boundary values of solutions to elliptic equations and elliptic systems
35B05	Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B45	A priori estimates in context of PDEs

Keywords:

estimates; Hölder classes; Miranda-Agmon maximum principle; singular points on the boundary

Citations:

Zbl 0371.35018