Results 51 to 60 of about 229,358 (332)

$C^{1,\alpha}$ 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

An All‐Optical Driven Bio‐Photovoltaic Interface for Active Control of Live Cells

Advanced Functional Materials, EarlyView.
Bio‐photovoltaic Interface (BIO‐PV‐I) for live cell manipulation is presented. BIO‐PV‐I can be activated non‐invasively and remotely to control the spatial motility, adhesion, and morphology of cells adhering to it. BIO‐PV‐I uses a patterned light‐induced electric potential in iron‐doped lithium niobate crystals whose light‐driven and reversible nature,
Lisa Miccio, Martina Mugnano, Valentina Marchesano, Alejandro Calabuig, Zhe Wang, Gennaro Giordano, Francesca Borrelli, Simonetta Grilli, Pietro Ferraro   +8 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  

On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations

International Journal of Mathematics and Mathematical Sciences, 2006
Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
doaj   +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

Generating Cell Surface Nucleated Hydrogels with an Artificial Membrane‐Binding Transglutaminase

Advanced Functional Materials, EarlyView.
Cell‐based therapies require advanced strategies to enhance cell delivery and bioactivity. Cell membrane engineering offers an avenue to impart new functions to delivered cells to boost their viability and function. Here, an artificial membrane‐binding transglutaminase is generated and biophysically characterized.
Rosalia Cuahtecontzi Delint, Tao Li, Kapil D. Patel, Will H. Zhang, Ben M. Carter, Graham J. Day, Adam W. Perriman   +6 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

Modified Tetrahedron Equations and Related 3D Integrable Models

, 1994
Using a modified version of the tetrahedron equations we construct a new family of $N$-state three-dimensional integrable models with commuting two-layer transfer-matrices.
Boos, H. E., Mangazeev, V. V., Sergeev, S. M.   +2 more
core   +1 more source