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Displaying similar documents to “Calculus of variations for integrals depending on a convolution product”

Solutions of Analytical Systems of Partial Differential Equations

Trenčevski, K. (1995)

Serdica Mathematical Journal

Similarity:

In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).

Perfect sets of finite class without the extension property

A. Goncharov (1997)

Studia Mathematica

Similarity:

We prove that generalized Cantor sets of class α, α ≠ 2 have the extension property iff α < 2. Thus belonging of a compact set K to some finite class α cannot be a characterization for the existence of an extension operator. The result has some interconnection with potential theory.