Weak convergence techniques

In this paper, we consider a nonlocal P -Laplace parabolic equation depending on the LP norm of the gradient with nonlinearity of arbitrary order. First, we prove the existence and uniqueness of weak solutions by combining the compactness and monotone methods and the weak convergence techniques in Orlicz spaces.

8p viengels 25-08-2023 6 3   Download

(BQ) Ebook Transmission electron microscopy: A textbook for materials science - Part 2 includes the following content: using convergent-beam techniques; amplitude contrast; phase-contrast images; thickness and bending effects; planar defects; imaging strain fields; weak-beam dark-field microscopy; high-resolution TEM; other imaging techniques; image simulation; processing and quantifying images; X-ray spectrometry; X-ray spectra and images; qualitative X-ray analysis and imaging; quantitative X-ray analysis; spatial resolution and minimum detection; electron energy-loss spectrometers and...

390p runordie6 06-08-2022 4 1   Download

MONOTONE ITERATIVE TECHNIQUE FOR SEMILINEAR ELLIPTIC SYSTEMS A. S. VATSALA AND JIE YANG Received 27 September 2004 and in revised form 23 January 2005 We develop monotone iterative technique for a system of semilinear elliptic boundary value problems when the forcing function is the sum of Caratheodory functions which are nondecreasing and nonincreasing, respectively. The splitting of the forcing function leads to four different types of coupled weak upper and lower solutions. In this paper, relative to two of these coupled upper and lower solutions, we develop monotone iterative technique.

14p sting12 10-03-2012 42 3   Download