Results 61 to 70 of about 22,129,127 (338)
Radial solutions for inhomogeneous biharmonic elliptic systems
Electronic Journal of Differential Equations, 2018 In this article we obtain weak radial solutions for the inhomogeneous elliptic system \displaylines{ \Delta^2u+V_{1}(| x| )| u|^{q-2}u=Q(| x| )F_{u}(u,v)\quad\text{in } \mathbb{R}^N, \cr \Delta^2v+V_2(| x| )| v|^{q-2}v=Q(| x| )F_{v}(u,v)\quad\text ...
Reginaldo Demarque +1 more
doaj
Electronic Research ArchiveIn this paper, we prove the existence of solutions for an elliptic system. More precisely, we combine the potential theory with the sub-super solution method and use the properties of the well-known Kato class to justify our existence results.
Abdeljabbar Ghanmi +2 more
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Residual Stress States in Microstructurally Graded PBF–LB/M Austenitic Steel Components
Advanced Engineering Materials, EarlyView.This study examines microstructurally graded 316L rectangular tube profiles fabricated via PBF–LB/M using a dual‐laser system. A 1 kW top‐hat and a 400 W Gaussian laser create distinct grain sizes and crystallographic texture. Mechanical properties are linked to microstructural evolution driven by processing conditions.
Nico Möller +5 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Picosecond direct laser interference patterning (DLIP) enables precise microstructure fabrication on stainless steel. Using a multiscan approach, high‐aspect‐ratio patterns are achieved. Fluence influences structure growth and homogeneity, with smaller periods yielding better uniformity.
Fabian Ränke +5 more
wiley +1 more source
Nonlinear eigenvalue problems with semipositone structure
Electronic Journal of Differential Equations, 2000 In this paper we summarize the developments of semipositone problems to date, including very recent results on semipositone systems. We also discuss applications and open problems.
Alfonso Castro, C. Maya, R. Shivaji
doaj
Positive solutions for semilinear elliptic systems with sign-changing potentials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we study the existence of positive solutions of the Dirichlet problem -Δu = λ p(x)f(u; v) ; -Δv = λ q(x)g(u; v); in D, and u = v = 0 on ∂∞D, where D ⊂ Rn (n ≥ 3) is an C1,1-domain with compact boundary and λ > 0. The potential functions p;
Zeddini Noureddine, Ben Dkhil Adel
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Canonical System on Elliptic Curves [PDF]
Proceedings of the American Mathematical Society, 1993 We deduce a canonical algebraic complete integrable system using the representation of the Heisenberg group. This system is shown to have solutions equivalent to those of the rigid body motion on SO(3) (Euler Top).
openaire +2 more sources
Oscillation criteria for elliptic systems [PDF]
Proceedings of the American Mathematical Society, 1971 Oscillation criteria are established for quasilinear elliptic partial differential systems of second order in unbounded domains of Euclidean space. The main departures from earlier investigations are: (1) systems of partial differential equations are considered; (2) the equations are nonlinear; (3) the matrices involved are not required to be positive ...
C. A. Swanson, W. Allegretto
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Advanced Engineering Materials, EarlyView.The influence of Hot Isostatic Pressing (HIP) temperature on the microstructure and creep performance of powder bed fusion–laser beam processed CM247LC superalloy is investigated. Grain growth and γ’ precipitate evolution are characterized following HIP at varying temperatures.
Ahmed Fardan +4 more
wiley +1 more source
pde2path - A Matlab package for continuation and bifurcation in 2D elliptic systems [PDF]
, 2012 pde2path is a free and easy to use Matlab continuation/bifurcation package for elliptic systems of PDEs with arbitrary many components, on general two dimensional domains, and with rather general boundary conditions.
H. Uecker, Daniel Wetzel, J. Rademacher
semanticscholar +1 more source