Results 121 to 130 of about 1,045,959 (290)

Normalized solutions for nonlinear Schrödinger systems with critical exponents

Advanced Nonlinear Studies
In this paper, we consider the following nonlocal Schrödinger system−a+b∫R3|∇u1|2dxΔu1=λ1u1+μ1|u1|p1−2u1+βr1|u1|r1−2u1|u2|r2,−a+b∫R3|∇u2|2dxΔu2=λ2u2+μ2|u2|p2−2u2+βr2|u1|r1|u2|r2−2u2,∫R3|u1|2dx=c1,∫R3|u2|2dx=c2.
Hu Jiaqing, Mao Anmin
doaj   +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

Normalized solutions for nonautonomous Schrödinger–Poisson equations

Zeitschrift für angewandte Mathematik und Physik
In this paper, we study the existence of normalized solutions for the nonautonomous Schrödinger-Poisson equations \begin{equation}\nonumber -Δu+λu +\left(\vert x \vert ^{-1} * \vert u \vert ^{2} \right) u=A(x)|u|^{p-2}u,\quad \text{in}~\R^3, \end{equation} where $λ\in\R$, $A \in L^\infty(\R^3)$ satisfies some mild conditions.
Xu, Yating, Luo, Huxiao
openaire   +2 more sources

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

Normalized solutions of NLS equations with mixed nonlocal nonlinearities

Advances in Nonlinear Analysis
We study the existence and nonexistence of normalized solutions for the nonlinear Schrödinger equation with mixed nonlocal nonlinearities: −Δu=λu+μ(Iα∗∣u∣p)∣u∣p−2u+(Iα∗∣u∣q)∣u∣q−2uinRN,∫RN∣u∣2dx=c,\left\{\begin{array}{ll}-\Delta u=\lambda u+\mu \left({I ...
Zhang Zhenyu, Sun Juntao
doaj   +1 more source

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

Normalized solutions to a class of (2, q)-Laplacian equations

Advanced Nonlinear Studies
This paper is concerned with the existence of normalized solutions to a class of (2, q)-Laplacian equations in all the possible cases with respect to the mass critical exponents 2(1 + 2/N), q(1 + 2/N).
Baldelli Laura, Yang Tao
doaj   +1 more source

EDNRB‐dependent endothelin signaling reduces proliferation and promotes proneural‐to‐mesenchymal transition in gliomas

Molecular Oncology, EarlyView.
Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau, Leonor Garcia, Hugo Arnold, Antonija Hanžek, Maialen Arrieta, Laurent R Gauthier, Christine Granotier‐Beckers, François D Boussin, Amaury Herbet, Marie Hautière, Valentin Asei‐Ceschino, Clémentin Jacques, Laura Brard, Thomas Harnois, Valérie Coronas, Bruno Constantin, Aurélien Chatelier, Jean Chemin, Serge Urbach, Martial Seveno, Szimonetta Hideg, Chantal Ripoll, Kasandra Aguilar‐Cázarez, Min Zheng, Guo‐Hao Huang, Sheng‐Qing Lv, Lei Zhang, Philippe Rondard, Laurent Prezeau, Jean‐Philippe Pin, Hugues Duffau, Luc Bauchet, Valérie Rigau, Franck Denat, Charles Truillet, Didier Boquet, Jean‐Philippe Hugnot   +36 more
wiley   +1 more source

Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed

Advances in Nonlinear Analysis
In this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
doaj   +1 more source

Engineered extracellular vesicles enriched with the miR‐214/199a cluster enhance the efficacy of chemotherapy in ovarian cancer

Molecular Oncology, EarlyView.
Loss of the miR‐214/199a cluster is associated with recurrence in ovarian cancer. Engineered small extracellular vesicles (m214‐sEVs) elevate miR‐214‐3p/miR‐199a‐5p in tumor cells, suppress β‐catenin, TLR4, and YKT6 signaling, reprogram tumor‐derived sEV cargo, reduce chemoresistance and migration, and enhance carboplatin efficacy and survival in ...
Weida Wang, Ayesha Alvero, Yi Qin, Mingjin Wang, Alexandra Fox, Yanfeng Li, Michael Millman, Amy Kemper, Gil Mor, Xian Shuang Liu, Michael Chopp, Zheng Gang Zhang, Yi Zhang   +12 more
wiley   +1 more source