Results 131 to 140 of about 504,362 (312)
Existence and uniqueness of solutions for nonlocal p-Laplacian problems
Electronic Journal of Differential Equations, 2016 We study the existence and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the p-Laplacian. Our main tools are a variant of the Schaefer's fixed point theorem, an inequality which suitably handles the p ...
Behrouz Emamizadeh, Amin Farjudian
doaj
Molecular Oncology, EarlyView.We developed and validated a DNA methylation–based biomarker panel to distinguish pleural mesothelioma from other pleural conditions. Using the IMPRESS technology, we translated this panel into a clinically applicable assay. The resulting two classifier models demonstrated excellent performance, achieving high AUC values and strong diagnostic accuracy.
Janah Vandenhoeck +12 more
wiley +1 more source
Existence and uniqueness for a p-Laplacian nonlinear eigenvalue problem
Electronic Journal of Differential Equations, 2010 We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda | u|_q^{p-q}|u|^{q-2}u, $$ where the unknowns $uin W^{1,p}_0(Omega )$ (the eigenfunction) and $lambda >0$ (the eigenvalue), $Omega $ is an arbitrary ...
Giovanni Franzina +1 more
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AIMS MathematicsA nonlinear model, which characterizes motions of shallow water waves and includes the famous Degasperis-Procesi equation, is considered. The essential step is the derivation of the $ L^2(\mathbb{R}) $ uniform bound of solutions for the nonlinear model ...
Mingming Li, Shaoyong Lai
doaj +1 more source
A Sharp Existence and Uniqueness Theorem for Linear Fuchsian Partial Differential Equations [PDF]
, 2001 Jose Ernie C. Lope
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Strength through diversity: how cancers thrive when clones cooperate
Molecular Oncology, EarlyView.Intratumor heterogeneity can offer direct benefits to the tumor through cooperation between different clones. In this review, Kuiken et al. discuss existing evidence for clonal cooperativity to identify overarching principles, and highlight how novel technological developments could address remaining open questions.
Marije C. Kuiken +3 more
wiley +1 more source
Molecular Oncology, EarlyView.We developed a cost‐effective methylation‐specific droplet digital PCR multiplex assay containing tissue‐conserved and tumor‐specific methylation markers. The assay can detect circulating tumor DNA with high accuracy in patients with localized and metastatic colorectal cancer.
Luisa Matos do Canto +8 more
wiley +1 more source
Existence and Uniqueness of the Local Smooth Solution to 3D Stochastic MHD Equations without Diffusion. [PDF]
Entropy (Basel), 2019 Qiu Z, Tang Y.
europepmc +1 more source
On boundedness, existence and uniqueness of strong solutions of the Navier-Stokes Equations in 3 dimensions [PDF]
, 2008 A. A. Ruzmaikina
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Molecular Oncology, EarlyView.Liquid biopsy enables minimally invasive, real‐time molecular profiling through analysis of circulating biomarkers in biological fluids. This Perspective highlights the importance of training pathologists through integrative educational programs, such as the European Masters in Molecular Pathology, to ensure effective and equitable implementation of ...
Marius Ilié +13 more
wiley +1 more source