Results 41 to 50 of about 230,660 (338)
Compactness methods for Hölder estimates of certain degenerate elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we obtain the interior $C^{1,\alpha}$ regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local $L^\infty$ estimates and weak Harnack inequality for second-order linear elliptic equations,
Fengping Yao, Mijia Lai, Huilian Jia
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Advanced Engineering Materials, EarlyView.Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat +6 more
wiley +1 more source
Sturm comparison theorems for some elliptic type equations via Picone-tpye inequalities
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Sturm theorems have appeared as one of the fundamental subjects in qualitative theory to determine properties of the solutions of differential equations. Motivated by some recent developments for half-linear type elliptic equations, we obtain Picone-type
Aydin Tiryaki +2 more
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Advanced Engineering Materials, EarlyView.This article investigates optimal processing conditions for the laser‐based powder bed fusion of WE43. To limit the interaction with remaining oxygen, a 3 vol% hydrogen admixture to the inert gas is investigated. Furthermore, heat treatments are investigated in the range of 250–350 °C for 48 h.
Arvid Abel +9 more
wiley +1 more source
Einstein equations under polarized $\mathbb U(1)$ symmetry in an elliptic gauge
, 2017 We prove local existence of solutions to the Einstein--null dust system under polarized $\mathbb U(1)$ symmetry in an elliptic gauge. Using in particular the previous work of the first author on the constraint equations, we show that one can identify ...
Huneau, Cécile, Luk, Jonathan
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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
New non-linear equations and modular form expansion for double-elliptic Seiberg-Witten prepotential
, 2016 Integrable N-particle systems have an important property that the associated Seiberg-Witten prepotentials satisfy the WDVV equations. However, this does not apply to the most interesting class of elliptic and double-elliptic systems.
Aminov, G., Mironov, A., Morozov, A.
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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
Al-Mustansiriyah Journal of Science, 2019 This paper is concerned with, the proof of the existence and the uniqueness theorem for the solution of the state vector of a couple of nonlinear elliptic partial differential equations using the Minty-Browder theorem, where the continuous classical ...
Jamil Amir Al-hawasy +1 more
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Elliptic equations and decomposition
Computers & Mathematics with Applications, 1988 AbstractThe decomposition method is applied to solve elliptic equations in several dimensions.
openaire +2 more sources