"We deal with the existence of the material derivative of the Laplace equation with the Neumann boundary condition in the half space. We consider two different perturbations of domains to get the existence of weak Gateaux material derivative and the existence of Fr\u00E9chet material derivatives."@en . . "Ne\u010Dasov\u00E1, \u0160\u00E1rka" . . "P(GA201/05/0005), P(GA201/08/0012), Z(AV0Z10190503)" . "RIV/67985840:_____/08:00330018!RIV10-AV0-67985840" . "Control and Cybernetics" . "We deal with the existence of the material derivative of the Laplace equation with the Neumann boundary condition in the half space. We consider two different perturbations of domains to get the existence of weak Gateaux material derivative and the existence of Fr\u00E9chet material derivatives." . "Shape differentiability of the Neumann problem of the Laplace equation in the half-space" . "[14FD023AA81B]" . "Shape differentiability of the Neumann problem of the Laplace equation in the half-space"@en . . . . . . . "000266999900002" . . "37" . "1"^^ . "RIV/67985840:_____/08:00330018" . "3"^^ . . . . . . . . "Shape differentiability of the Neumann problem of the Laplace equation in the half-space" . "22"^^ . . "4" . "Sokolowski, J." . "394604" . "Amrouche, Ch." . . "PL - Polsk\u00E1 republika" . "shape optimization; Neumann problem; half space; material derivative"@en . "Shape differentiability of the Neumann problem of the Laplace equation in the half-space"@en . . "0324-8569" .