Results 91 to 100 of about 1,014,924 (284)

Equivalence of viscosity and weak solutions for the normalized p(x)-Laplacian [PDF]

, 2018
Jarkko Siltakoski
openalex   +1 more source

Multiplicity and orbital stability of normalized solutions to non-autonomous Schrödinger equation with mixed nonlinearities [PDF]

, 2022
Xinfu Li, Xu Li, Meiling Zhu
openalex   +1 more source

Decrypting cancer's spatial code: from single cells to tissue niches

Molecular Oncology, EarlyView.
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik, Shi Pan, Eloise Withnell, Hou Wang Lam, Maria Secrier   +4 more
wiley   +1 more source

Solutions with prescribed mass for the Sobolev critical Schrödinger–Poisson system with p-Laplacian

Bulletin of Mathematical Sciences
In this paper, we are concerned with the existence and properties of ground states for the quasilinear Schrödinger–Poisson system with combined critical nonlinearities −Δpu+γϕ|u|p−2u=λ|u|p−2u+μ|u|q−2u+|u|p∗−2uin ℝ3,−Δϕ=|u|pin ℝ3, having prescribed mass ...
Kai Liu, Xiaoming He
doaj   +1 more source

Characterizing the salivary RNA landscape to identify potential diagnostic, prognostic, and follow‐up biomarkers for breast cancer

Molecular Oncology, EarlyView.
This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan, Irina Primac, Emre Etlioglu, Laurens Debruyne, Ann Janssen, Magy Sallam, Kevin Tabury, Roel Quintens, Wiebren Tjalma, Mohammed Abderrafi Benotmane   +9 more
wiley   +1 more source

Multiplicity of normalized solutions for nonlinear Choquard equations

Advanced Nonlinear Studies
In this paper, we consider the following nonlinear Choquard equation with prescribed L 2-norm: −Δu+λu=Iα∗F(u)f(u) in RN,∫RN|u|2dx=a>0,u∈H1(RN), $\begin{cases}-{\Delta}u+\lambda u=\left({I}_{\alpha }\ast F\left(u\right)\right)f\left(u\right) \,\text{in}\,
Long Chun-Fei, Deng Chonghao, Li Gui-Dong, Tang Chun-Lei   +3 more
doaj   +1 more source

Adenosine‐to‐inosine editing of miR‐200b‐3p is associated with the progression of high‐grade serous ovarian cancer

Molecular Oncology, EarlyView.
A‐to‐I editing of miRNAs, particularly miR‐200b‐3p, contributes to HGSOC progression by enhancing cancer cell proliferation, migration and 3D growth. The edited form is linked to poorer patient survival and the identification of novel molecular targets.
Magdalena Niemira, Anna Skwarska, Karolina Chwialkowska, Agnieszka Ostrowska, Gabriela Sokolowska, Anna Zeller, Anna Erol, Andrzej Eljaszewicz, Bartosz Hanczaruk, Anna Michalska‐Falkowska, Agnieszka Tarasik, Joanna Reszec‐Gielazyn, Pawel Knapp, Marcin Moniuszko, Adam Kretowski   +14 more
wiley   +1 more source

Note on normalized solutions to a kind of fractional Schrödinger equation with a critical nonlinearity

AIMS Mathematics
In this paper, we study normalized solutions of the fractional Schrödinger equation with a critical nonlinearity$ \begin{eqnarray*} \left\{ \begin{array}{lll} (-\Delta)^su = \lambda u+|u|^{p-2}u+|u|^{2^\ast_s-2}u, & x\in \mathbb{R}^N, \\ \int_ ...
Xizheng Sun, Zhiqing Han
doaj   +1 more source

Regularity of solutions of the parabolic normalized p-Laplace equation

Advances in Nonlinear Analysis, 2018
The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to L2{L^{2}}.
Høeg Fredrik Arbo, Lindqvist Peter
doaj   +1 more source

Investigating the cell of origin and novel molecular targets in Merkel cell carcinoma: a historic misnomer

Molecular Oncology, EarlyView.
This study indicates that Merkel cell carcinoma (MCC) does not originate from Merkel cells, and identifies gene, protein & cellular expression of immune‐linked and neuroendocrine markers in primary and metastatic Merkel cell carcinoma (MCC) tumor samples, linked to Merkel cell polyomavirus (MCPyV) status, with enrichment of B‐cell and other immune cell
Richie Jeremian, Sriraam Sivachandran, Melissa Galati, Brandon Ramchatesingh, Hibo Rijal, Johnny Hanna, Elena Netchiporouk, May Chergui, Margaret Redpath, Samy Abou Setah, Ivan V. Litvinov   +10 more
wiley   +1 more source