Results 111 to 120 of about 4,696,970 (248)
Multiple positive solutions for a nonlocal problem involving critical exponent
Electronic Journal of Differential Equations, 2017 This article concerns the nonlocal problem $$\displaylines{ -\Big(a-b\int_{\mathbb{R}^4}|\nabla u|^2\,dx\Big)\Delta u=|u|^2u+\mu f(x), \quad\text{in }\mathbb{R}^4,\cr u\in \mathcal{D}^{1,2}(\mathbb{R}^4), }$$ where a, b are positive constants, $\mu$
Yue Wang, Hong-Min Suo, Chun-Yu Lei
doaj
On the the critical exponent for the semilinear Euler-Poisson-Darboux-Tricomi equation with power nonlinearity [PDF]
In this note, we derive a blow-up result for a semilinear generalized Tricomi equation with damping and mass terms having time-dependent coefficients. We consider these coefficients with critical decay rates.
Palmieri, Alessandro
core
Advanced Functional Materials, EarlyView.Monolithic UV‐ozone oxidation of Ta forms an ultrathin Ta2O5/TaOx bilayer enabling resistive switching with a vertical defect gradient. A stoichiometric surface layer over an oxygen‐deficient sublayer promotes localized filament nucleation near the top interface, enabling low‐voltage operation, and reduced cycle‐to‐cycle variability.
Seunghoon Yang +11 more
wiley +1 more source
Existence of solutions for elliptic systems with critical Sobolev exponent
Electronic Journal of Differential Equations, 2002 We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth.
Pablo Amster +2 more
doaj
Nondegeneracy of the solutions for elliptic problem with critical exponent
Boundary Value ProblemsThis paper deals with the following nonlinear elliptic equation: − Δ u = Q ( | y ′ | , y ″ ) u N + 2 N − 2 , u > 0 , in R N , u ∈ D 1 , 2 ( R N ) , $$ -\Delta u=Q(|y'|,y'')u^{\frac{N+2}{N-2}},\,\,u>0,\,\,\text{in}\,{ \mathbb{R}}^{N},\,\,u\in D^{1,2 ...
Qingfang Wang
doaj +1 more source
Dynamical properties of critical exponent functions [PDF]
In the last years the attention towards topological dynamical properties of highly discontinuous maps has increased significantly. In [D.Corona, A. Della Corte. The critical exponent functions.
Della Corte, Alessandro +2 more
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For each a > 2 there is an Infinite Binary Word with Critical Exponent a [PDF]
, 2008 The critical exponent of an infinite word w is the supremum of all rational numbers α such that w contains an α-power. We resolve an open question of Krieger and Shallit by showing that for each α>2 there is an infinite binary word with critical exponent
Rampersad, Narad, Currie, James D.
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Memristive‐Gated RC‐Delay Synaptic Transistors for Time‐Encoded Analog in‐Memory Computing
Advanced Functional Materials, EarlyView.A Memristive‐Gated Transistor for Time‐Encoded Analog In‐Memory Computing — By exploiting the RC delay of a self‐rectifying interface‐type memristor, nonlinear I–V distortion is structurally bypassed, enabling 3‐bit nonvolatile memory, spike‐timing‐based analog encoding, and hardware‐calibrated reservoir‐computing validation within a unified device ...
Yun‐Seo Shin +7 more
wiley +1 more source
Distinguishing between short and long range dependence: Finite sample properties of rescaled range and modified rescaled range [PDF]
Mostly used estimators of Hurst exponent for detection of long-range dependence are biased by presence of short-range dependence in the underlying time series. We present confidence intervals estimates for rescaled range and modified rescaled range.
Kristoufek, Ladislav
core
Advanced Functional Materials, EarlyView.The physical realization of artificial neurons is a critical challenge for energy‐efficient neuromorphic computing. This review presents a comprehensive analysis of the evolution of artificial neuron implementations from conventional CMOS to emerging post‐CMOS technologies.
Kannan Udaya Mohanan +4 more
wiley +1 more source