Results 61 to 70 of about 516,813 (372)

Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations

, 2011
Meromorphic solutions of autonomous nonlinear ordinary differential equations are studied. An algorithm for constructing meromorphic solutions in explicit form is presented.
Eremenko, Hone, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Lavrent’ev, Malfliet, Maria V. Demina, Nevanlinna, Nikolay A. Kudryashov, Parkes, Sikorsky, Vernov, Vernov   +21 more
core   +1 more source

Singularities of elliptic equations with an exponential nonlinearity

Mathematische Annalen, 1984
Part 1 examines the behavior of the solution of (1) \(-\Delta u+g(u)=f\) in \(\Omega \setminus \{0\}\subset\mathbb R^ 2\) near 0, where \(g\in C(\mathbb R)\) is assumed to be non-decreasing and \(f\in C^ 0(\Omega)\). It is shown that (i) if \(| g|\) has ``super-exponential'' growth (for \(| r| \to \infty)\) the isolated singularity at 0 is removable ...
Vazquez, Juan Luis, Veron, Laurent
openaire   +2 more sources

Self‐Assembling Multi‐Antigen T Cell Hybridizers for Precision Immunotherapy of Multiple Myeloma

Advanced Healthcare Materials, EarlyView.
A novel modular T‐cell engager platform, MATCH, is developed for personalized multiple myeloma therapy. MATCH uses complementary oligonucleotide‐linked Fab’ fragments to enable flexible targeting of MM antigens and controlled T‐cell activation. The system shows potent, antigen‐specific cytotoxicity in vitro and in vivo, highlighting its potential for ...
Shannuo Li, Jiahui Li, Hasan Al Faruque, Paul Shami, Birgit Knoechel, Jens Lohr, Douglas Sborov, Jiyuan Yang, Jindřich Kopeček   +8 more
wiley   +1 more source

Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without conditions at infinity

Математичні Студії, 2023
Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
doaj   +1 more source

Boundary regularity for viscosity solutions of fully nonlinear elliptic equations

, 2013
We provide regularity results at the boundary for continuous viscosity solutions to nonconvex fully nonlinear uniformly elliptic equations and inequalities in Euclidian domains.
Silvestre, Luis, Sirakov, Boyan
core   +1 more source

Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations [PDF]

, 2013
In this paper we use the Generalized Multiscale Finite Element Method (GMsFEM) framework, introduced in [20], in order to solve nonlinear elliptic equations with high-contrast coefficients.
Y. Efendiev, J. Galvis, Guanglian Li, M. Presho   +3 more
semanticscholar   +1 more source

Colossal Cryogenic Electro‐Optic Response Through Metastability in Strained BaTiO3 Thin Films

Advanced Materials, EarlyView.
Utilizing the thermodynamic theory of optical properties, a colossal cryogenic electro‐optic response in BaTiO3 thin films is designed and demonstrated by stabilizing a low symmetry metastable monoclinic phase via epitaxial strain tuning with an electro‐optic response reaching ≈2516 pm V−1 at 5 K. This approach represents a new paradigm for engineering
Albert Suceava, Sankalpa Hazra, Aiden Ross, Ian Reed Philippi, Dylan Sotir, Brynn Brower, Lei Ding, Yingxin Zhu, Zhiyu Zhang, Himirkanti Sarkar, Saugata Sarker, Yang Yang, Suchismita Sarker, Vladimir A. Stoica, Darrell G. Schlom, Long‐Qing Chen, Venkatraman Gopalan   +16 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  

New Jacobi Elliptic Function Solutions for the Zakharov Equations

Journal of Applied Mathematics, 2012
A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations.
Yun-Mei Zhao
doaj   +1 more source

On a class of fully nonlinear elliptic equations on Hermitian manifolds [PDF]

Calculus of Variations and Partial Differential Equations, 2013
We derive a prioriC2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^2$$
Bo Guan, Weiling Sun
semanticscholar   +1 more source