Results 111 to 120 of about 37,723 (299)
Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
Electronic Journal of Differential Equations, 2016 In this article we consider the problem $$\displaylines{ -\hbox{div}\big(p(x)\nabla u\big)=|u|^{2^{*}-2}u+\lambda f\quad \text{in }\Omega \cr u=0 \quad \text{on }\partial\Omega }$$ where $\Omega$ is a bounded domain in $\mathbb{R}^N$, We study ...
Mohammed Bouchekif, Ali Rimouche
doaj
An elliptic problem with critical exponent and positive Hardy potential
Abstract and Applied Analysis, 2004 We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x)+(μ/|x|2)u(x)=λu(x)+u2*−1(x), where x∈B1, μ>0, and the potential μ/|x|2−λ is positive in B1.
Shaowei Chen, Shujie Li
doaj +1 more source
Enhanced Strength and Corrosion Resistance of Ti‐13Nb‐12Ta‐10Zr‐4Sn Alloy by Aging Treatment
Advanced Engineering Materials, EarlyView.This work systematically investigates the effect of aging treatment on mechanical properties and corrosion behavior of vacuum arc‐melted Ti‐13Nb‐12Ta‐10Zr‐4Sn alloy. Owing to the increased α″ martensite, strength and corrosion resistance were significantly enhanced by aging treatment.
Yuhua Li +5 more
wiley +1 more source
R/S analysis and DFA: finite sample properties and confidence intervals
We focus on finite sample properties of two mostly used methods of Hurst exponent H estimation – R/S analysis and DFA. Even though both methods have been widely applied on different types of financial assets, only several papers have dealt with finite ...
Kristoufek, Ladislav
core
Advanced Engineering Materials, EarlyView.This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca +9 more
wiley +1 more source
Non-homogeneous problem for fractional Laplacian involving critical Sobolev exponent
Electronic Journal of Differential Equations, 2017 In this article, we study the existence of positive solutions for the nonhomogeneous fractional equation involving critical Sobolev exponent $$\displaylines{ (-\Delta)^{s} u +\lambda u=u^p+\mu f(x), \quad u>0\quad \text{in } \Omega,\cr u =0, \quad \
Kun Cheng, Li Wang
doaj
From Shear to Sound: Mechanics–Acoustics Mapping of TPMS Lattices
Advanced Engineering Materials, EarlyView.Triply periodic minimal surface (TPMS) lattices are mapped across mechanical and acoustic performance, revealing that descriptors validated in compression fail under shear. First‐time comparison with trusses included. A transition from porous to resonance‐driven absorption emerges at 25% density.
Lucía Doyle +3 more
wiley +1 more source
Every real number greater than 1 is a critical exponent
, 2007 We prove that for every real number α>1 there exists an infinite word w over a finite alphabet such that α is the critical exponent of ...
Shallit, Jeffrey, Krieger, Dalia
core +1 more source
Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in R^4
Electronic Journal of Differential Equations, 2017 In this article we study the existence of at least two positive weak solutions of an nonhomogeneous fourth-order Navier boundary-value problem involving critical exponential growth on a bounded domain in $R^4$, with a parameter $\lambda >0$.
Abhishek Sarkar
doaj
The critical exponent of the Arshon words
, 2008 Generalizing the results of Thue (for n = 2) and of Klepinin and Sukhanov (for n = 3), we prove that for all n ≥ 2, the critical exponent of the Arshon word of order n is given by (3n − 2)/(2n − 2), and this exponent is attained at position 1.
Dalia Krieger
core