Results 101 to 110 of about 214,926 (206)

Infinitely many solutions for Kirchhoff-type problems depending on a parameter

Electronic Journal of Differential Equations, 2016
In this article, we study a Kirchhoff type problem with a positive parameter $\lambda$, $$\displaylines{ -K\Big( \int_{\Omega }|\nabla u|^{2}dx\Big) \Delta u=\lambda f(x,u) , \quad \text{in } \Omega , \cr u=0, \quad \text{on } \partial \Omega , }$
Juntao Sun, Yongbao Ji, Tsung-fang Wu
doaj  

Magnetothermal‐Triggered Response and Self‐Healing of Recyclable and Reprocessable Nanocomposites for Actuation Systems

Advanced Functional Materials, EarlyView.
Developing recyclable materials for magnetic robotics that combine rapid response and self‐healing properties is challenging. Hence, this study focuses on the integration of magnetothermal nanoparticles into a dynamic sorbitol‐based vitrimer, a recyclable composite capable of remote actuation and self‐healing by magnetic heating.
Maria Weißpflog, Gloria Signorato, Birgit Hankiewicz, Volker Abetz   +3 more
wiley   +1 more source

Infinitely many solutions to quasilinear Schrödinger equations with critical exponent

Electronic Journal of Qualitative Theory of Differential Equations, 2019
This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
doaj   +1 more source

Coacervates Made of Elastin‐Like Polypeptides Fused with Melanocyte‐Stimulating Hormone and Monocyte Chemoattractant Protein Enhance Skin Wound Healing in Spinal Cord‐Injured Mice

Advanced Healthcare Materials, EarlyView.
Pressure skin wounds are frequent complications after spinal cord injury (SCI), with impaired healing due to vascular and immune deficits. Elastin‐like polypeptides (ELP) fused to α‐MSH (MSH‐ELP) or MCP‐1 (MCP‐ELP) are developed and tested on these wounds. The resulting nanoparticles are non‐toxic and bioactive, and they enhance macrophage recruitment,
Suneel Kumar, Dhruv Patel, Greeshma Manjunath, Shashank Madhavan, Ashley Mathew, Dnyaneshwari Rananavare, Jahnavi Shah, Francois Berthiaume   +7 more
wiley   +1 more source

Existence of infinitely many solutions for fourth-order equations depending on two parameters

Electronic Journal of Differential Equations, 2017
By using variational methods and critical point theory, we establish the existence of infinitely many classical solutions for a fourth-order differential equation. This equation has nonlinear boundary conditions and depends on two real parameters.
Armin Hadjian, Maryam Ramezani
doaj  

Infinitely many solutions for a class of Kirchhoff-type equations

Open Mathematics
In this article, we consider a class of Kirchhoff-type equations: −a+b∫Ω∣∇u∣2dxΔu=f(x,u),x∈Ω,u=0,x∈∂Ω.\left\{\begin{array}{ll}-\left(a+b\mathop{\displaystyle \int }\limits_{\Omega }{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=f\left(x,u),\hspace{1.0em}& x ...
Zhou Qin, Zeng Jing
doaj   +1 more source

Piezoelectric Surface Charge and Dynamic Stimulation Synergize to Promote Cardiac Myoblast Alignment and Maturation

Advanced Healthcare Materials, EarlyView.
Surface polarization of PVDF films combined with mechanical stimulation generates piezoelectric electrical cues that modulate cardiomyoblast behaviour. Non‐poled and poled PVDF substrates provide distinct electroactive microenvironments influencing cell adhesion, proliferation, and differentiation.
Rafaela M Meira, Sylvie Ribeiro, Senentxu Lanceros‐Mendez, Clarisse Ribeiro   +3 more
wiley   +1 more source

Infinitely many solutions for Hamiltonian system with critical growth

Advances in Nonlinear Analysis
In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
doaj   +1 more source

Deciphering the Role of Cancer Stem Cells in Breast Cancer Brain Colonization Using a Novel Patient‐Derived Model

Advanced Healthcare Materials, EarlyView.
This study shows that stem‐like cells isolated from breast cancer brain metastases drive the spread and growth of tumors in the brain. Among them, a highly adhesive subgroup initiates metastasis and resists many drugs. By closely reflecting patient tumors, these models help identify new targets and improve the development of effective treatments ...
Stefania Faletti, Cristina Richichi, Daniela Osti, Elena Ceccacci, Giovanni Bertalot, Camilla Cerutti, Giuseppina Giardina, Adriana Marinaro, Brunella Costanza, Valentina Gambino, Elena Zaccheroni, Daniela Tosoni, Maria G. Filippone, Marcello Del Corvo, Yinxiu Zhan, Teresa Gravina, Davide Corà, Monica Patanè, Bianca Pollo, Maria Giovanna Jodice, Salvatore Pece, Babette B. Weksler, Ignacio A. Romero, Pierre‐Olivier Couraud, Elisabetta Munzone, Massimiliano Del Bene, Francesco DiMeco, Giuliana Pelicci   +27 more
wiley   +1 more source

Model‐Driven Optimization of Subcutaneous Polymer Prodrugs Achieves Cancer Remission in Mice

Advanced Healthcare Materials, EarlyView.
A pharmacokinetics/pharmacodynamics (PK/PD) model was developed to evaluate multiple dosing regimens for subcutaneously administered water‐soluble polymer prodrug for cancer therapy. The model enabled prediction of in vivo performance and contributed to the optimization of anticancer efficacy.
Anne Rodallec, Randy Lee, Jingming Cao, Sophie Marolleau, Julien Nicolas, Sébastien Benzekry   +5 more
wiley   +1 more source