Results 161 to 170 of about 3,685,749 (356)
Obstacle problems for integro-differential operators: regularity of solutions and free boundaries
, 2016 We study the obstacle problem for integro-differential operators of order 2s, with s∈(0,1) . Our main result establish that the free boundary is C1,γ and u∈C1,s near all regular points. Namely, we prove the following dichotomy at all free boundary points
Ros-Oton, Xavier +2 more
core +1 more source
Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization
Molecular Oncology, EarlyView.In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu +13 more
wiley +1 more source
Selfadjoint extensions of multipoint singular differential operators
Electronic Journal of Differential Equations, 2013 This article describes all selfadjoint extensions of the minimal operator generated by a linear singular multipoint symmetric differential-operator expression for first order in the direct sum of Hilbert spaces of vector-functions.
Zameddin I. Ismailov
doaj
The Cauchy problem for the Navier-Stokes equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In the paper we study issues of a strong solution for "essentially" loaded differential equations of the parabolic type in bounded domains. Features of the problems under consideration: for example, in the L 2( Q ) space the corresponding differential ...
A.Sh. Akysh (Akishev)
doaj
Multiplication properties in pseudo-differential calculus with small regularity on the symbols
, 2010 We consider modulation space and spaces of Schatten–von Neumann symbols where corresponding pseudo-differential operators map one Hilbert space to another.
Toft, Joachim,
core +1 more source
Liquid biopsy‐based diagnostic evaluation of hypermethylated CpG sites for ovarian cancer diagnosis
Molecular Oncology, EarlyView.This schematic outlines the workflow from biomarker identification to duplex MethyLight assay validation for epithelial ovarian cancer diagnosis using cfDNA‐based liquid biopsy. Initial screening of hypermethylated CpG candidates (cg02957270, cg10061138 cg00480298, COL2A1) was performed in tissue using ARMS‐PCR, COBRA, qPCR and image analysis. Selected
Deepa Bisht +3 more
wiley +1 more source
Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
wiley +1 more source
On perturbation of differential operators [PDF]
Pacific Journal of Mathematics, 1975 openaire +2 more sources
Mappings of finite distortion and Laplace-Beltrami operators
, 2000 We show some results concerning Gamma-convergence for Laplace-Beltrami operators in the plane, associated to mappings of finite distortion, uniformly bounded in some exponential ...
FORMICA, MARIA ROSARIA
core
Molecular Oncology, EarlyView.Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller +10 more
wiley +1 more source