Results 101 to 110 of about 3,020,455 (306)
Uniform estimates for positive solutions of a class of semilinear elliptic equations and related Liouville and one-dimensional symmetry results [PDF]
, 2013 We consider the semilinear elliptic equation $\Delta u = W'(u)$ with Dirichlet boundary conditions in a smooth, possibly unbounded, domain $\Omega \subset \mathbb{R}^n$. Under suitable assumptions on the potential $W$, including the double well potential
Sourdis, Christos
core
Algebraic Bethe ansatz for singular solutions
, 2013 The Bethe equations for the isotropic periodic spin-1 2 Heisenberg chain with N sites have solutions containing ±i 2 that are singular: both the corresponding energy and the algebraic Bethe ansatz vector are divergent.
Nepomechie, Rafael I, Wang, Chunguang
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Spatial heterogeneity of hotspot mutations and clonal relatedness in ovarian endometrioid carcinoma
Molecular Oncology, EarlyView.Spatially resolved analysis revealed heterogeneous distributions of selected cancer‐associated mutations within ovarian endometrioid carcinomas. Shared mutations between paired endometrial and ovarian tumors supported clonal relatedness. These findings highlight the value of sampling multiple tumor regions when interpreting molecular profiles ...
Takahito Ashihara +10 more
wiley +1 more source
Infinitely many non-radial singular solutions of
, 2017 We construct countably infinitely many non-radial singular solutions of the problemof the formwhere v(σ) depends only on σ ∈𝕊N−1. To this end we construct countably infinitely many solutions ofusing ordinary differential equation techniques.
Yasuhito Miyamoto
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RoundMi: A quantitative method to analyze mitochondrial morphology in mitotic cells
FEBS Open Bio, EarlyView.RoundMi is a workflow for rapid analysis of mitochondrial morphology in mitotic cells. By combining adaptive preprocessing with automated segmentation and quantification, it enables accurate measurements from single focal plane images, reducing acquisition time and computational demands while remaining compatible with high‐throughput fixed and live ...
Elmira Parvindokht Bararpour +2 more
wiley +1 more source
Concerning marginal singularities in the boundary-layer flow on a downstream-moving surface [PDF]
, 1996 The formation of separation singularities in solutions of the classical boundary-layer equations is studied numerically and analytically for the case of a two-dimensional incompressible steady flow near a solid surface moving in the direction of the main
Timoshin, SN
core
FEBS Open Bio, EarlyView.UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source
Radially Symmetric Solutions of a Nonlinear Elliptic Equation
International Journal of Mathematics and Mathematical Sciences, 2011 We investigate the existence and asymptotic behavior of positive, radially symmetric singular solutions of 𝑤+((𝑁−1)/𝑟)𝑤−|𝑤|𝑝−1𝑤=0, 𝑟>0.
Edward P. Krisner, William C. Troy
doaj +1 more source
A priori bounds and existence results for singular boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This article furnishes qualitative properties for solutions to two-point boundary value problems (BVPs) which are systems of singular, second-order, nonlinear ordinary differential equations. The right-hand side of the differential equation is allowed to
Nicholas Fewster-Young
doaj +1 more source
Qualitative properties of singular solutions to semilinear elliptic problems
, 2018 International audienceWe consider positive singular solutions to semilinear elliptic problems with possibly singular nonlinearity. We deduce symmetry and monotonicity properties of the solutions via the moving plane procedure.
F. Esposito +6 more
core +1 more source