Results 21 to 30 of about 12,696 (269)
Nonlinear elliptic systems with variable exponents and measure data
In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(
Bendahmane Mostafa, Mokhtari Fares
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Elliptic Root System and Elliptic Artin Group
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear elliptic systems [PDF]
From author's abstract: We treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form \[ -\Delta u=f(x,u,v,\nabla u,\nabla v),\;-\Delta v=g(x,u,v,\nabla u,\nabla v),\;\text{in} \Omega .
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Boundary Schwartz' problem for J-analytic functions was studied within this scientific work. These functions are solutions of linear complex system of partial differential equations of the first order. It was considered, that the real and imaginary parts
Vladimir G Nikolaev
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Elliptic Solutions of Dynamical Lucas Sequences
We study two types of dynamical extensions of Lucas sequences and give elliptic solutions for them. The first type concerns a level-dependent (or discrete time-dependent) version involving commuting variables. We show that a nice solution for this system
Michael J. Schlosser, Meesue Yoo
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ELLIPTIC CURVES PUBLIC KEY TRAITOR TRACING SCHEME [PDF]
In this paper we use the elliptic curves system in the Public Key Traitor Tracing Scheme. The Elliptic Curve points form Abelian group that used in the Public Key Traitor Tracing Scheme.
Ali M. Sagheer
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Nonvariational elliptic systems
The authors deal with a comprehensive treatment of large classes of sublinear and superlinear elliptic systems, that is \[ \begin{cases} -\Delta u=f(u,v),\;-\Delta v=g(u,v) &\text{in }\Omega,\\ u=v=0 &\text{on }\partial\Omega, \end{cases} \] where \(\Omega\subset\mathbb R^N\), \(N\geq 3\), is a smooth bounded domain.
Alves, Claudianor O. +1 more
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The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
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Quasilinear elliptic systems [PDF]
The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
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Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova +25 more
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