On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator
Department of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, B. Sattarkhanov Street 29, Turkistan, 161200, Kazakhstan
Boundary Value Problems 2014, 2014:29 doi:10.1186/1687-2770-2014-29Published: 30 January 2014
In the present work, we study properties of some integro-differential operators of the Hadamard-Marchaud type in the class of harmonic functions. As an application of these properties, we consider the question of the solvability of a nonlocal boundary value problem for the Laplace equation in the unit ball.
MSC: 35J05, 35J25, 26A33.