Ukrainian Mathematical Bulletin

Volume 2, Issue 3, 2005 pp. 385-402.

Generalized Boundary-Value Problems for Linear and Semilinear Elliptic Equations

Authors: Halyna P. Lopushanska
Author institution: Ivan Franko Lviv State University, 1 Universytets'ka Str., 79001, Lviv, Ukraine

Summary: On the basis of the results of investigation of linear boundary-value problems in special spaces of generalized functions, we establish the conditions of existence of solutions of boundary-value problems for semilinear elliptic equations in the space of functions of power growth near the boundary of a domain and the conditions under which these solutions are regular inside the domain.

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