Results 41 to 50 of about 216,697 (310)

Infinitely Many Solutions for Derrick’s Equation

Advanced Nonlinear Studies, 2002
Abstract In this paper we study a class of field equations, in several space dimensions, which admits solitary waves. The equation is a vector-valued version of a field equation proposed by Derrick in 1964 as model for elementary particles. We show the existence of infinitely many solutions with arbitrary topological charge.
openaire   +2 more sources

The Lagrangian Conley Conjecture

, 2010
We prove a Lagrangian analogue of the Conley conjecture: given a 1-periodic Tonelli Lagrangian with global flow on a closed configuration space, the associated Euler-Lagrange system has infinitely many periodic solutions.
Mazzucchelli, Marco
core   +3 more sources

Circulating tumor DNA monitoring and blood tumor mutational burden in patients with metastatic solid tumors treated with atezolizumab

Molecular Oncology, EarlyView.
In patients treated with atezolizumab as a part of the MyPathway (NCT02091141) trial, pre‐treatment ctDNA tumor fraction at high levels was associated with poor outcomes (radiographic response, progression‐free survival, and overall survival) but better sensitivity for blood tumor mutational burden (bTMB).
Charles Swanton, Russell W. Madison, Candice Francheska B. Tambaoan, Funda Meric‐Bernstam, Christopher J. Sweeney, Razelle Kurzrock, Howard A. Burris III, David R. Spigel, Hanna Tukachinsky, Jason Hughes, Julia Malato, Bongin Yoo, Tania Szado, Cheryl Schwab, Lincoln W. Pasquina, Amaya Gasco, Katja Schulze, Claire F. Friedman   +17 more
wiley   +1 more source

Infinitely many periodic solutions for a class of fractional Kirchhoff problems

, 2019
We prove the existence of infinitely many nontrivial weak periodic solutions for a class of fractional Kirchhoff problems driven by a relativistic Schr\"odinger operator with periodic boundary conditions and involving different types of ...
Ambrosio, Vincenzo
core   +1 more source

Earthing effects on mitochondrial function: ATP production and ROS generation

FEBS Open Bio, EarlyView.
In contrast to sham and naive controls, grounded mitochondria not only exhibit significantly enhanced energy production but also demonstrate a remarkable reduction in membrane potential and oxidative stress. This suggests a profound improvement in mitochondrial health, presenting a promising avenue for therapeutic interventions.
Cecilia Giulivi, Richard Kotz
wiley   +1 more source

Infinitely many positive solutions for a double phase problem

Boundary Value Problems, 2020
This paper is concerned with the existence of infinitely many positive solutions to a class of double phase problem. By variational methods and the theory of the Musielak–Orlicz–Sobolev space, we establish the existence of infinitely many positive ...
Bei-Lei Zhang, Bin Ge, Gang-Ling Hou
doaj   +1 more source

CD9‐association with PIP2 areas is regulated by a CD9 salt bridge

FEBS Open Bio, EarlyView.
The tetraspanin CD9 has an intracellular salt bridge. If CD9 opens, open‐CD9 moves from PIP2‐rich areas to regions populated by its interaction partner EWI‐2. Hence, the state of the salt bridge regulates the distribution of CD9 and by this CD9‐EWI‐2 complex formation.
Yahya Homsi, Sara C. Konopka, Thorsten Lang   +2 more
wiley   +1 more source

Ground state solutions and infinitely many solutions for a nonlinear Choquard equation

Boundary Value Problems, 2021
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

Infinitely Many Strings in De Sitter Spacetime: Expanding and Oscillating Elliptic Function Solutions

, 1993
The exact general evolution of circular strings in $2+1$ dimensional de Sitter spacetime is described closely and completely in terms of elliptic functions.
A.L. Larsen, Abramowitz, de Vega, de Vega, de Vega, de Vega, Gasperini, Gasperini, Gradshteyn, H.J. de Vega, N. Sánchez, Sánchez, Sánchez   +12 more
core   +1 more source

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

International Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez, Mauro Gaggero, Andrea Serani   +2 more
wiley   +1 more source