Results 81 to 90 of about 178,189 (280)

Solutions to elliptic systems of Hamiltonian type in R^N

Electronic Journal of Differential Equations, 1999
The paper proves existence of a solution for elliptic systems of Hamiltonian type on ${mathbb R}^N$ by a variational method. We use the Benci-Rabinowitz technique, which cannot be applied here directly for lack of compactness.
K. Tintarev
doaj  

Coercive elliptic systems with gradient terms

Advances in Nonlinear Analysis, 2017
In this paper we give a classification of positive radial solutions of the following system:
Filippucci Roberta, Vinti Federico
doaj   +1 more source

Structure Formation in Butterfly Scales: Interplay of Genetic Control, Mechanical Instabilities, and Dynamic Material Properties

Advanced Functional Materials, EarlyView.
Butterfly wing scales are intricate cuticular functional nanosctructures. This perspective suggests that spatially varying material properties, cytoskeletal constraints, and growth‐driven mechanical instabilities shape the resulting nanoscale architectures created from single cells.
Anupama Prakash, Victoria Lloyd, Yi Yang, Anna‐Lee Jessop, Anthony McDougal, Primož Pirih, Guillaume Duclos, Andrew Parnell, Mathias Kolle, Nicola J. Nadeau, Bodo D. Wilts   +10 more
wiley   +1 more source

Elliptic systems at resonance for jumping non-linearities

Electronic Journal of Differential Equations, 2016
In this article, we study the existence of nontrivial solutions for the problem $$\displaylines{ -\Delta u=\alpha _1u^{+}-\beta _1u^{-}+f(x,u,v)+h_1( x) \quad \text{in }\Omega, \cr -\Delta v=\alpha _2v^{+}-\beta _2v^{-}+g(x,u,v)+h_2( x) \quad \text ...
Hakim Lakhal, Brahim Khodja
doaj  

A note on the variational structure of an elliptic system involving critical Sobolev exponent

Journal of Applied Mathematics, 2003
We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al.
Mario Zuluaga
doaj   +1 more source

Parabolic-elliptic Keller–Segel system

Tunisian Journal of Mathematics
We study on the whole space R d the compressible Euler system with damping coupled to the Poisson equation when the damping coefficient tends towards infinity. We first prove a result of global existence for the Euler-Poisson system in the case where the damping is large enough, then, in a second step, we rigorously justify the passage to the limit to ...
openaire   +2 more sources

On elliptic systems in Rn

Acta Mathematica, 1983
On etudie des systemes elliptiques k×k d'operateurs differentiels dans R n qui peuvent s'ecrire sous la forme A=A∞+Q ou A∞ est un systeme elliptique d'operateurs a coefficients constants et Q est une perturbation a coefficient variable avec certaines proprietes de decroissance a |x|=∞
Lockhart, Robert B., McOwen, Robert C.
openaire   +2 more sources

Ultrasmall Platinum Nanoparticles for Radiation‐Enhanced Cancer Therapy

Advanced Functional Materials, EarlyView.
This work proposes a nanomedicine‐based strategy to enhance X‐ray radiotherapy for cancer treatment. Ultrasmall Pt‐NPs exhibit catalase‐like activity that may contribute to modulation of the tumor microenvironment and amplify interactions between radiation and biological matter, leading to increased DNA damage.
Miguel Encinas‐Gimenez, Jose I. Garcia‐Peiro, Jose L. Hueso, Eduardo Caleiras, Laura Notario, Felipe Hornos, Pilar Martin‐Duque, Antonio De la Vieja, Jesus Santamaria   +8 more
wiley   +1 more source

Critical Neumann problem for nonlinear elliptic systems in exterior domains

Electronic Journal of Differential Equations, 2008
In this paper, we investigate the Neumann problem for a critical elliptic system in exterior domains. Assuming that the coefficient $Q(x)$ is a positive smooth function and $lambda$, $mugeq0$ are parameters, we examine the common effect of the mean ...
Jianfu Yang, Shengbing Deng
doaj  

The Terminal Domains of Collagen‐Like Silk Direct Molecular Interactions and Liquid–Liquid Phase Separation‐Mediated Material Assembly

Advanced Functional Materials, EarlyView.
Terminal domains of recombinant collagen‐like silk regulate hierarchical self‐assembly across molecular and material scales. We show that terminal domains of collagen‐like silk enhance triple‐helix stability and drive liquid–liquid phase separation, enabling reversible formation of fibers and self‐healing films.
Mengjie Shen, Daniil Astapov, Nur Alia Oktaviani, Mami Goto, Keiji Numata, A. Sesilja Aranko   +5 more
wiley   +1 more source