An alternate variational principle for $\Delta u-u+\mid u\mid \sp{r-1}{\rm sgn}\,u=0$

Subjective Picture Quality Assessment for Umid/metadata Watermark

Based on the Double Stimulus Continuous Quality Scale (DSCQS) test, described in Rec. ITU-R BT.500-10 the quality and acceptability of a Unique Material Identifier (UMID) watermarking scheme was assessed subjectively. Participants were shown reference and watermarked material and asked to rate the quality and acceptability on a subjective scale. Based on the difference in ratings between source...

$(varphi_1, varphi_2)$-variational principle

In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm,  such that $f + g $ attains its strong minimum on $X. $ This result extends some of the  well-known varitional principles as that of Ekeland [On the variational principle,  J. Ma...

An extended variational principle

Variational Principle for

We show that some measures suuering from the so-called Renormalization Group pathologies satisfy a variational principle and that the corresponding limit of the pressure, with boundary conditions in a set of measure 1, is proportional to the pressure of the Ising model.

Explicit Mathematics with The Monotone Fixed Point Principle. II: Models

This paper continues investigations of the monotone fixed point principle in the context of Feferman’s explicit mathematics begun in [14]. Explicit mathematics is a versatile formal framework for representing Bishop-style constructive mathematics and generalized recursion theory. The object of investigation here is the theory of explicit mathematics augmented by the monotone fixed point princip...