Results 121 to 130 of about 35,892 (290)
Advanced Engineering Materials, EarlyView.Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink +4 more
wiley +1 more source
Abstract and Applied Analysis, 2013 We study the following Schrödinger-Poisson system: , , , where are positive radial functions, , , and is allowed to take two different forms including and with .
Yongsheng Jiang +3 more
doaj +1 more source
Positive Radial Solutions for Singular Quasilinear Elliptic Equations in a Ball
Publications of the Research Institute for Mathematical Sciences, 2014 We establish the existence of positive radial solutions for the boundary value problems \left\{ \begin{array}{rcll} -\Delta _{p}u&=&\lambda f(u)&\text{ in }B, \\ u&=&0&\text{ on }\partial B, \end{array} \right.
openaire +2 more sources
On the structure of positive radial solutions for quasilinear equations in annular domains
Advances in Differential Equations, 2003 The author investigates existence, multiplicity and nonexistence of positive radial solutions to boundary value problems for the quasilinear equation \(\text{div}(A(| \nabla u| \nabla u))+\lambda h(| x| )f(u)=0\) in annular domains under general assumptions on the function \(A(u)\) by making use of some fixed-point theorems for operators on a Banach ...
openaire +3 more sources
Advanced Engineering Materials, EarlyView.Residual adhesive after electrode loading in adhesive‐assisted resistance spot welding is quantified through a traceable experimental‐to‐digital workflow. Chromatic confocal topography provides calibrated surface‐height data, while OpenCV detects the electrode imprint and integrates adhesive height into comparable volume metrics.
Sung‐Min Wi, Jiangdong Zhao
wiley +1 more source
A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated
Electronic Journal of Differential Equations, 2008 First, we prove that for Schrodinger radial systems the polar angular coordinate must satisfy $heta'= 0$. Then using radial symmetry, we transform the system into a generalized Ermakov-Pinney equation and prove the existence of positive periodic ...
Juan Belmonte-Beitia
doaj
Advanced Engineering Materials, EarlyView.We apply a foundational machine‐learning interatomic potential based on the graph atomic cluster expansion (GRACE) to simulate the commercial Ni‐based single‐crystal superalloy CMSX‐4. Hybrid Monte‐Carlo/molecular dynamics sampling resolves short‐range order in the γ phase and L12 sublattice occupancies in the γ’ phase and connects them to stacking ...
Aditya Vishwakarma +4 more
wiley +1 more source
Positive radial solutions of p-Laplace equations with nonlinear gradient terms on annular domains
Demonstratio MathematicaThis paper discusses the existence of positive radial solutions for the boundary value problem of p-Laplace equation with nonlinear gradient ...
Li Yongxiang, Wang Tingting
doaj +1 more source
The positive radial solutions of a class of semilinear elliptic equations
This paper provides a complete classification of the positive radially symmetric solutions for generalized Emden equations of the type \[ \Delta u+r^{-2-\rho} h(r^{\rho} u)=0, \] where \(h(s)>0\) for \(s>0\) and \(h(0)=0\). The essential feature of these equations is that they can be transformed into autonomous equations.
Bandle, Catherine, Marcus, Moshe
openaire +1 more source
Positive Radial Solutions for Semilinear Biharmonic Equations in Annular Domains
Revista Matemática Complutense, 1993 Summary: We study the existence of positive radial solutions of \(\Delta^ 2u= g(| x|) f(u)\) in an annulus with Dirichlet boundary conditions. We establish that the equation has at least one positive radially symmetric solution on any annulus if \(f\) and \(g\) are nonnegative, \(g\not\equiv 0\) and \(f\) is superlinear at zero and \(+\infty\). We also
openaire +3 more sources