Results 51 to 60 of about 12,072 (286)
Ground state solutions and infinitely many solutions for a nonlinear Choquard equation
In this paper we study the existence and multiplicity of solutions for the following nonlinear Choquard equation: − Δ u + V ( x ) u = [ | x | − μ ∗ | u | p ] | u | p − 2 u , x ∈ R N , $$\begin{aligned} -\Delta u+V(x)u=\bigl[ \vert x \vert ^{-\mu }\ast ...
Tianfang Wang, Wen Zhang
doaj +1 more source
BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi +11 more
wiley +1 more source
Infinitely many radial solutions for Kirchhoff-type problems in RN [PDF]
In this paper, we concern with a class of Kirchhoff-type problems in RN. By using the Fountain Theorem we obtain three existence results of infinitely many radial solutions for the ...
Wu, Xian, Jin, Jiahua
core +1 more source
Why human connection is the true metric of research success
Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
wiley +1 more source
The MRP4 transporter exports several drugs and signaling molecules. Here, we identified key promoter elements regulating basal MRP4 expression. Using reporter assays, we defined a conserved region with essential Sp1 and contributory Ets sites, which controlled basal MRP4 expression.
Debora Singer +7 more
wiley +1 more source
Infinitely many solutions for symmetric and non-symmetric elliptic systems [PDF]
We study an elliptic system equivalent to a fourth order elliptic equation. By using variational and perturbative methods, we prove the existence of infinitely many solutions both in the symmetric and in the non-symmetric ...
SALVATORE, Addolorata +1 more
core +1 more source
Hydrostatic pressure activates HIF‐1α via β‐catenin to promote stemness in breast cancer cells
To mimic the elevated intestinal fluid pressure in breast cancers, we loaded human breast cancer cells (MCF‐7, MDA‐MB‐453, and BT‐474) to 50 mmHg hydrostatic pressure. Hydrostatic pressure exposure upregulated HIF‐1α and induced stemness in MCF‐7 and BT‐474 cells.
Da Zhai +8 more
wiley +1 more source
Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
doaj +1 more source
We describe detailed protocols for the purification and preparation of Marchantia polymorpha Auxin Response Factor 2 (MpARF2). This protein is fused to an MBP solubility tag and an mNG fluorescent tag and is purified from Escherichia coli. The presented procedures make it possible to study MpARF2 assemblies, which could arise from phase separation ...
Bas Janssen +5 more
wiley +1 more source
Infinitely many periodic solutions for second order Hamiltonian systems [PDF]
In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems u¨+∇uV(t,u)=0, where V(t,u) is either asymptotically quadratic or superquadratic as |u|→∞
Zhang, Qingye +3 more
core +1 more source

