Characteristic functions on the boundary of a planar domain need not be traces of least gradient functions

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Our goal is to show the existence of such singular solutions, and then to classify all the positive N -harmonic functions with a boundary isolated

In this section, we apply Theorem 1.3 to derive length estimates, first for orbits of dynamical systems of gradient or subgradient type, then for orbits orthogonal to a

The segmented ranking functions abstract domain is parameterized by the choice of the abstract environments (e.g. intervals, as in Section 3.1) and the choice of the abstract

Using wavelet analysis we show that if the characteristic function of a ran- dom variable X can be approximated at 0 by some polynomial of even degree 2p then the moment of order 2p

OHTSUKA , Extremal length and precise functions in 3-space, Lecture Notes, Hiroshima Univ., 1973..

In this thesis, with the assumption of infinite depth water, heave added mass and damping coefficients of a floating hemisphere, a Wigley hull and a Liquefied Natural

Characteristic functions on the boundary of a planar domain need not be traces of least gradient functions... MICKAËL