Results 91 to 100 of about 178,189 (280)
Maximum principle and existence results for nonlinear cooperative systems on a bounded domain
Electronic Journal of Differential Equations, 2011 In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on a bounded domain.
Liamidi Leadi, Aboubacar Marcos
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Dirichlet type problem for the system of elliptic equations, which order degenerate at a line
Nonlinear Analysis, 2014 Dirichlet type problem in a bounded domain for the system of linear elliptic equations of second order, which degenerate into first order system at a line crossing the domain, is studied.
Stasys Rutkauskas
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Advanced Functional Materials, EarlyView.The role of novel thiophene‐based ligands with halogen substitutions in enhancing the chiroptical and optoelectronic properties of 2D chiral HOIPs has been investigated. By tailoring ligand design, enhanced CD and CPL properties are achieved, with improved CPL discrimination in photodetectors.
Boesung Kwon +4 more
wiley +1 more source
Electronic Journal of Differential Equations, 2004 We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries.
Monica Clapp +2 more
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Superlinear Elliptic Equations and Systems [PDF]
, 2008 In this article we survey some recent results on superlinear elliptic equations and systems. A particular focus will be the borderline situations of so-called critical growth. In the existence theorems, we will use mostly variational methods, that is we look for critical points of functionals associated to the equations and systems.
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Advanced Functional Materials, EarlyView.A MXene/PEDOT coating enables multimodal functionality and dual‐analyte detection of dopamine and serotonin in flexible microelectrode arrays while enhancing electrophysiological recording quality. The anti‐fouling, low‐impedance interface overcomes key limitations of conventional coatings, providing a robust and versatile platform to investigate the ...
Ilaria Gatti +8 more
wiley +1 more source
Multiplicity of Positive Solutions for Semilinear Elliptic Systems
Abstract and Applied Analysis, 2013 We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive ...
Tsing-San Hsu
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On critical semilinear elliptic systems
Advances in Differential Equations, 2001 The goal of the present paper is to study the existence of solutions of the semilinear elliptic system \[ \begin{gathered} -\Delta u+ u= |v|^{q-1} v+ g(x,v)\quad\text{in }\mathbb{R}^n,\\ -\Delta v+ v= |u|^{p-1} u+ f(x,u)\quad\text{in }\mathbb{R}^N,\\ u(x)\to 0\text{ and }v(x)\to 0\quad \text{as }|x|\to \infty,\end{gathered}\tag{1} \] where \({1\over p ...
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Chirality and Organization of Adsorbates Modify Surface Phonon Dynamics
Advanced Functional Materials, EarlyView.Chirality and molecular organization are shown to influence surface phonon dynamics in gold films. Time‐resolved Joule heating measurements reveal that ordered homochiral monolayers increase the Debye temperature and disordered layers reduce it, while ordered racemic controls have no effect.
Meital Ozeri +6 more
wiley +1 more source
Advanced Functional Materials, EarlyView.An original method is presented for producing artificial spider silk fibers with magnetic and magnetomechanical responsiveness, which consists in coating them with a nanometer‐thick layer of FeCo alloy by sputtering deposition. The challenge of combining organic materials and inorganic magnetic nanostructures is addressed, thus taking a step forward ...
Filippo Lanaro +5 more
wiley +1 more source