We consider functionals of the form $$\mathcal{F}(u):=\int_\Omega\!F(x,u,\nabla u)\,\mathrm{d} x,$$ where $\Omega\subseteq\mathbb{R}^n$ is open and bounded. The integrand $F\colon\Omega\times\mathbb{R}^N\times\mathbb{R}^{N\times n}\to\mathbb{R}$ assumed to satisfy classical assumptions a power $p$-growth corresponding strong quasiconvexity. In addition, $F$ H\"older continuous with exponent $2\...

Let A be a densely defined closed, linear $$\omega$$ -sectorial operator of angle $$\theta \in [0,\frac{\pi }{2})$$ on Banach space X, for some $$\omega \mathbb {R}$$ . We give an explicit representation (in terms special functions) and study the precise asymptotic behavior as time goes to infinity solutions following diffusion equation with memory: $$\displaystyle u'(t)=Au(t)+(\kappa *Au)(t), ...

The Majorana zero-energy modes (MZMs) residing at the boundary of topological superconductors have attracted a great deal interest recently, as they provide platform to explore fundamental physics such non-Abelian statistics, well fault-tolerant quantum computation. Period doubling Shapiro steps in Josephson junction under microwave irradiation has been regarded strong evidence for emergence MZ...

"This work studies the initial boundary value problem for Petrovsky equation with nonlinear damping \begin{equation*} \frac{\partial ^{2}u}{\partial t^{2}}+\Delta ^{2}u-\Delta u^{\prime} +\left\vert u\right\vert ^{p-2}u+\alpha g\left( u^{\prime }\right) =\beta f\left( u\right) \text{ in }\Omega \times \left[ 0,+\infty \right[, \end{equation*} where $\Omega $ is open and bounded domain $\mathbb{...

Alpha-beta titanium alloys excel for aeroengine applications but are typically limited to ~550°C. An alternative strategy is reinforcement with the ordered-beta TiFe intermetallic, toward ‘β-Ti superalloys’, however, there has been minimal study of precipitation in binary system. Here, a Ti-20Fe (at.%) alloy was homogenised at 1050°C β-Ti phase field and aged 600°C where Fe supersaturation prom...

Long-chain 3-hydroxydicarboxylic acids (3-OHDCAs) are thought to arise via beta-oxidation of the corresponding dicarboxylic acids (DCAs), although long-chain DCAs are neither readily transported into nor beta-oxidized in mitochondria. We thus examined whether omega-hydroxylation of 3-hydroxy fatty acids (3-OHFAs), formed via incomplete mitochondrial oxidation, is a more likely pathway for 3-OHD...

The hydration of omega-gliadins and party deamidated and esterified omega-gliadins has been studied by Fourier transform IR spectroscopy. The secondary structure of the fully hydrated proteins was a mixture of beta-turns and extended chains, with a small amount of intermolecular beta-sheets. The absorption of the glutamine side chain amide groups contributed considerably to the amide I band wit...

The previously cloned human interferon alpha/beta (Hu-IFN-alpha/beta; Type I interferon) receptor cDNA appears to be only one component of a receptor complex since expression of the cDNA in mouse cells confers sensitivity only to Hu-IFN-alpha B2, but a monoclonal antibody against this cloned receptor subunit inhibits biological activities of Hu-IFN-alpha A, Hu-IFN-alpha B2, Hu-IFN-omega, and Hu...

Abstract A locally convex space (lcs) E is said to have an $$\omega ^{\omega }$$ ω -base if has a neighborhood base $$\{U_{\alpha }:\alpha \in \omega ^\omega \}$$ { U α : ∈</mml...