Results 111 to 120 of about 2,058,787 (289)

Existence of positive ground state solutions for a class of asymptotically periodic Schrodinger-Poisson systems

Electronic Journal of Differential Equations, 2017
In this article, by using variational method, we study the existence of a positive ground state solution for the Schr\"odinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+K(x)\phi u=f(x,u),\quad x\in\mathbb{R}^3,\cr -\Delta\phi=K(x)u^2,\quad x\in\
Da-Bin Wang, Hua-Fei Xie, Wen Guan
doaj  

Multiple solutions for a fractional $(p,t)$-Laplacian system with logarithmic nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations
This paper is concerned with the existence and multiplicity of a ground state solution for a class of fractional $(p,t)$-type systems involving logarithmic nonlinearities with sign-changing coefficients, which are obtained by variational methods.
Romulo Carlos, Victor Carvalho de Oliveira, Olimpio Miyagaki   +2 more
doaj   +1 more source

Perspectives in educating molecular pathologists on liquid biopsy: Toward integrative, equitable, and decentralized precision oncology

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, Umberto Malapelle, Catherine Alix‐Panabières, Claus Lindbjerg Andersen, Sandra Chlebowski, Vivien Lake, Caroline Lacoux, Virginie Lespinet‐Fabre, Olivier Bordone, Simon Heeke, Christophe Bontoux, Ellen Heitzer, Klaus Pantel, Paul Hofman   +13 more
wiley   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Positive ground state solutions to Schrodinger-Poisson systems with a negative non-local term

Electronic Journal of Differential Equations, 2015
In this article, we study the Schrodinger-Poisson system $$\displaylines{ -\Delta u+u-\lambda K(x)\phi(x)u=a(x)|u|^{p-1}u, \quad x\in\mathbb{R}^3, \cr -\Delta\phi=K(x)u^{2},\quad x\in\mathbb{R}^3, }$$ with $p\in(1,5)$. Assume that $a:\mathbb{R}^3\to
Yan-Ping Gao, Sheng-Long Yu, Chun-Lei Tang   +2 more
doaj  

Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping

Journal of Function Spaces, 2015
This paper is concerned with the nonlinear Schrödinger lattice with nonlinear hopping. Via variation approach and the Nehari manifold argument, we obtain two types of solution: periodic ground state and localized ground state.
Ming Cheng
doaj   +1 more source

Ground state solutions for non-autonomous dynamical systems [PDF]

Journal of Mathematical Physics, 2014
We study the existence of periodic solutions for a second order non-autonomous dynamical system. We allow both sublinear and superlinear problems. We obtain ground state solutions.
openaire   +3 more sources

Potential therapeutic targeting of BKCa channels in glioblastoma treatment

Molecular Oncology, EarlyView.
This review summarizes current insights into the role of BKCa and mitoBKCa channels in glioblastoma biology, their potential classification as oncochannels, and the emerging pharmacological strategies targeting these channels, emphasizing the translational challenges in developing BKCa‐directed therapies for glioblastoma treatment.
Kamila Maliszewska‐Olejniczak, Karolina Pytlak, Sandra Jaworowska, Bogusz Kulawiak, Piotr Bednarczyk   +4 more
wiley   +1 more source

Symmetric ground state solutions of m-coupled nonlinear Schrödinger equations

Nonlinear Analysis: Theory, Methods & Applications, 2009
We prove the existence of radial and radially decreasing ground states of an m-coupled nonlinear Schrodinger equation with a general nonlinearity.
openaire   +2 more sources

PARP inhibition and pharmacological ascorbate demonstrate synergy in castration‐resistant prostate cancer

Molecular Oncology, EarlyView.
Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon, Peter T. Gallagher, Orly I. Richter, Neermala Poudel Neupane, Amy C. Mandigo, Jennifer J. McCann, Emanuela Dylgjeri, Irina Vasilevskaya, Christopher McNair, Channing J. Paller, Wm. Kevin Kelly, Karen E. Knudsen, Matthew J. Schiewer, Ayesha A. Shafi   +13 more
wiley   +1 more source