Results 61 to 70 of about 3,448,082 (381)

Optimized Strategy for Fabricating High‐Aspect‐Ratio Periodic Structures Over Large Areas Using ps‐Direct Laser Interference Patterning

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, Marcelo Sallese, Marcos Soldera, Ignacio Tabares, Flavio Soldera, Andrés Fabián Lasagni   +5 more
wiley   +1 more source

Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications

Journal of Inequalities and Applications, 2006
Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications.
Takaŝi Kusano, Yoshida Norio, Jaroš Jaroslav   +2 more
doaj  

$C^{1,\alpha}$ regularity for elliptic equations with the general nonstandard growth conditions [PDF]

Mathematica Bohemica
We study elliptic equations with the general nonstandard growth conditions involving Lebesgue measurable functions on $\Omega$. We prove the global $C^{1, \alpha}$ regularity of bounded weak solutions of these equations with the Dirichlet boundary ...
Sungchol Kim, Dukman Ri
doaj   +1 more source

A Bohr Phenomenon For Elliptic Equations [PDF]

Proceedings of the London Mathematical Society, 2001
This article is devoted to the generalization of the well-known theorem of Bohr about the existence of a number \(r\in(0,1)\) such that if a power series \(\sum^\infty_{\nu=0}c_\nu z^\nu\) converges in the unit disk and the modulus of its sum is less than 1, then \(\sum^\infty_{\nu=0}|c_\nu z^\nu|
Aizenberg, Lev A., Tarkhanov, Nikolai Nikolaevich   +1 more
openaire   +4 more sources

Machine Learning‐Based Design of 3D‐Printable Microneedles for Enhanced Tissue Anchoring with Reduced Tissue Damage

Advanced Engineering Materials, EarlyView.
A machine learning‐driven framework is introduced to optimize 3D‐printable microneedles for enhanced tissue anchoring and reduced insertion damage. The optimized design achieves a 6.0‐fold improvement in pull‐out‐to‐penetration energy ratio over conventional shapes.
Jegyeong Ryu, Jiyeop Kim, Chan Wook Park, Hae‐Yoon Kim, Deukhee Lee, Amy Kyungwon Han   +5 more
wiley   +1 more source

Picone-type inequalities for nonlinear elliptic equations and their applications

Journal of Inequalities and Applications, 2001
Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano, Yoshida Norio, Jaroš Jaroslav   +2 more
doaj  

Elliptic triad

Physics Letters B
The triad refers to embedding the Macdonald polynomials into the Noumi-Shiraishi functions and their reduction to solutions of simple linear equations at particular values of t. It provides an alternative definition of Macdonald theory.
A. Mironov, A. Morozov, A. Popolitov, Z. Zakirova   +3 more
doaj   +1 more source

Laser Remelting of a CrMnFeCoNi High‐Entropy Alloy: Effect of Energy Density on Elemental Segregation

Advanced Engineering Materials, EarlyView.
Laser remelting of a CrMnFeCoNi high‐entropy alloy reveals that optimal chemical homogenization occurs between 30 and 40 J·mm−2. Within this range, elemental segregation is reduced by over 30% compared to the as‐cast state. The study establishes this window as a fast, effective alternative to prolonged annealing for achieving uniform elemental ...
Ajay Talbot, Xiao Shang, Wandong Wang, Changjun Cheng, Tianyi Lyu, Yu Zou   +5 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, Sinem Sahiner, Emine Misirli   +2 more
doaj   +1 more source

Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators

, 2011
Biquaternionic Vekua-type equations arising from the factorization of linear second order elliptic operators are studied. Some concepts from classical pseudoanalytic function theory are generalized onto the considered spatial case.
Berglez, Bers, Castillo Perez, Elkins, Gürlebeck, Korn, Kravchenko, Kravchenko, Kravchenko, Kravchenko, Kravchenko, Kravchenko, Kravchenko, Malonek, Sprössig, Vekua   +15 more
core   +1 more source