Results 41 to 50 of about 24,953,243 (325)

A Morse-Smale index theorem for indefinite elliptic systems and bifurcation [PDF]

, 2014
We generalise the semi-Riemannian Morse index theorem to elliptic systems of partial differential equations on star-shaped domains. Moreover, we apply our theorem to bifurcation from a branch of trivial solutions of semilinear systems, where the ...
A. Portaluri, Nils Waterstraat
semanticscholar   +1 more source

The newfound relationship between extrachromosomal DNAs and excised signal circles

FEBS Letters, EarlyView.
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
wiley   +1 more source

Quasilinear elliptic systems [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 1978
The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
openaire   +1 more source

On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation

, 2006
The Conte-Musette method has been modified for the search of only elliptic solutions to systems of differential equations. A key idea of this a priory restriction is to simplify calculations by means of the use of a few Laurent series solutions instead ...
Ablowitz M J, Buchberger B, Buchberger B, Conte R, Davenport J, Drouffe J-M, Erdélyi A, Eremenko A E, Fan E, Fan E, Gerdt V P, Ginzburg V L, Hone A N W, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A, Kudryashov N A Demina M V, Landau L D, Nikitin A G Barannyk T A, Porubov A V, S Yu Vernov, Tabor M, Timoshkova E I, Timoshkova E I, Vernov S Yu, Vernov S Yu, Vernov S Yu Ganzha V G Mayr E W Vorozhtsov E V, von Hurwitz A   +29 more
core   +1 more source

Hamiltonian elliptic systems: a guide to variational frameworks [PDF]

, 2014
Consider a Hamiltonian elliptic system of type 8 < : u = Hv(u;v) in v = Hu(u;v) in u;v = 0 on @ where H is a power-type nonlinearity, for instance H(u;v) =juj p+1 =(p + 1) +jvj q+1 =(q + 1); having subcritical growth, and is a bounded domain of R N , N 1.
D. Bonheure, E. M. Santos, H. Tavares
semanticscholar   +1 more source

Genetic attenuation of ALDH1A1 increases metastatic potential and aggressiveness in colorectal cancer

Molecular Oncology, EarlyView.
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, Zuzana Kozovska, Ondrej Pos, Kristina Pavlov, Sachin Gulati, Peter Makovicky, Kristina Jakic, Monika Burikova, Eva Sedlackova, Barbora Svitkova, Silvia Tyciakova, Vojtech Bystry, Nicolas Blavet, Boris Tichy, Matej Hrnciar, Jaroslav Budis, Miroslav Tomas, Peter Dubovan, Georgina Kolnikova, Veronika Repaska, Nikoleta Mojzesova, Eva Zomborska, Daniel Pindak, Michal Mego, Tomas Szemes, Miroslava Matuskova   +25 more
wiley   +1 more source

EQUIVALENCE OF THE FREDHOLM SOLVABILITY CONDITION FOR THE NEUMANN PROBLEM TO THE COMPLEMENTARITY CONDITION

Вестник КазНУ. Серия математика, механика, информатика, 2021
The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
doaj   +1 more source

Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients [PDF]

, 2014
This paper considers the theory of higher-order divergence-form elliptic differential equations. In particular, we provide new generalizations of several well-known tools from the theory of second-order equations.
Ariel Barton
semanticscholar   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

Oscillation criteria for elliptic systems [PDF]

Proceedings of the American Mathematical Society, 1971
Oscillation criteria are established for quasilinear elliptic partial differential systems of second order in unbounded domains of Euclidean space. The main departures from earlier investigations are: (1) systems of partial differential equations are considered; (2) the equations are nonlinear; (3) the matrices involved are not required to be positive ...
Allegretto, W., Swanson, C. A.
openaire   +2 more sources