Results 71 to 80 of about 31,354 (258)

Sign changing solutions of the p(x)-Laplacian equation

Proceedings - Mathematical Sciences, 2013
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Sign-changing solutions of a fourth-order elliptic equation with supercritical exponent

Electronic Journal of Differential Equations, 2014
In this article we study the nonlinear elliptic problem involving nearly critical exponent $$\displaylines{ \Delta^2 u = |u|^{8/(n-4)+\varepsilon}u\quad\text{in } \Omega, \cr \Delta u=u = 0\quad \text{on } \partial \Omega, }$$ where $\Omega $ is a
Kamal Ould Bouh
doaj  

Infinitely Many Solutions for a Semilinear Elliptic Equation with Sign-Changing Potential

Boundary Value Problems, 2009
We consider a similinear elliptic equation with sign-changing potential −Δu−V(x)u=f(x,u), u∈H1(ℝN), where V(x) is a function possibly changing sign in ℝN.
Li Yongqing, Chen Yu
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Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

Molecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson, Lyanne Delgado‐Coka, Natalia Marchenko, Luisa F. Escobar‐Hoyos, Kenneth R. Shroyer, Alisa Yurovsky, Trey Ideker, Gábor Balázsi, Thomas MacCarthy, Scott Powers   +9 more
wiley   +1 more source

COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells

Molecular Oncology, EarlyView.
This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos, Gilar Gorji‐bahri, Lejla Gradjan, Julia Zajac, Kacper Gil, Yvonne Thokozile Nduku, Anna M. Blom   +6 more
wiley   +1 more source

Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity

Boundary Value Problems
By using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign once and ground-state homoclinic solutions ...
Xin Ou, Xingyong Zhang
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Pre‐analytical optimization of cell‐free DNA and extracellular vesicle‐derived DNA for mutation detection in liquid biopsies

Molecular Oncology, EarlyView.
Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen, Lucrezia De Santis, Bret M. Stephens, Vincent Bernard, Jörg C. Kalff, Lara Braun, Phillipp Leyendecker, Johannes Röttgen, Daniel Weissinger, Anirban Maitra, Paola A. Guerrero, Alexander Semaan   +11 more
wiley   +1 more source

Similarity solutions of the porous medium equation with sign changes

Journal of Mathematical Analysis and Applications, 1989
We study similarity solutions with sign changes of the porous medium equation in one space dimension, \[ u_ t=(| u|^{m-1} u_ x)_ x,\quad x\in\mathbb{R},\;t>0,\tag{1} \] with \(m>1\). Here \(u\) is a function of \(x\) and \(t\). For nonnegative \(u\) eq.
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Multiple sign-changing solutions for Kirchhoff type problems

Electronic Journal of Differential Equations, 2016
This article concerns the existence of sign-changing solutions to nonlocal Kirchhoff type problems of the form $$ -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) \text{ in }\Omega,\quad u=0 \text{ on }\partial\Omega, $$ where $\Omega$ is a ...
Cyril Joel Batkam
doaj  

Nonradial solutions for semilinear Schrödinger equations with sign-changing potential

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper, we investigate the existence of infinite nonradial solutions for the Schrödinger equations \begin{equation*} \begin{cases} -\triangle u+b(|x|)u=f(|x|, u), &\quad x\in {\mathbb{R}}^{N},\\ u\in H^{1}({\mathbb{R}}^{N}), \end ...
Dingyang Lv, Xuxin Yang
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