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On heat conduction in domains containing noncoaxial cylinders
(Journal article; Peer reviewed; Tidsskriftartikkel, 2012)
We consider heat conduction in domains containing noncoaxial cylinders. In particular, we present some regularity results for the solution and consider criteria which ensure the single valueness of the corresponding complex potential. Examples are discussed. In addition, we present some classes of cases where the parameters describing the solution are rational. Alternative ways of calculating the ...
Weighted Hardy Operators in Complementary Morrey Spaces
(Journal article; Tidsskriftartikkel; Peer reviewed, 2012)
Weighted Hardy Operators in Complementary Morrey Spaces
(Journal article; Tidsskriftartikkel; Peer reviewed, 2012-11-11)
We study the weighted -boundedness of the multidimensional weighted Hardy-type operators and with radial type weight , in the generalized complementary Morrey spaces defined by an almost increasing function . We prove a theorem which provides conditions, in terms of some integral inequalities imposed on and , for such a boundedness. These conditions are sufficient in the general case, but we ...
Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued
(Journal article; Tidsskriftartikkel; Peer reviewed, 2012-03-06)
We consider generalized chessboard structures where the local conductivity takes two values
𝑎
and
𝑏
. All integer combinations of
𝑎
and
𝑏
which make the components of effective conductivity matrix integer valued are found. Moreover, we discuss the problem of estimating the effective conductivity matrix by using the finite-element method.