Results 101 to 110 of about 211,809 (286)
Superlinear Elliptic Equations and Systems [PDF]
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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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
Fractional elliptic obstacle systems with multivalued terms and nonlocal operators
In this paper, we introduce and study a fractional elliptic obstacle system, which is composed of two elliptic inclusions with fractional (pi, qi)-Laplace operators, nonlocal functions, and multivalued terms.
Jinxia Cen +2 more
doaj +1 more source
On critical semilinear elliptic systems
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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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
Nontrivial convex solutions for systems of Monge-Ampere equations via global bifurcation
We obtain existence results for some systems of Monge-Ampere equations, using bifurcation theorems of Krasnosell'ski-Rabinowitz type.
Zexin Qi
doaj
Chirality and Organization of Adsorbates Modify Surface Phonon Dynamics
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
Fluid Forces Control Structural Remodeling of Blind‐Ended Lymphatic Microvessels
Using innovative microfluidic biofabrication with fluid mechanical insights, we recapitulated the blind‐ended microanatomy and physiological drainage properties of capillary lymphatics. Our results reveal the interrelationship between intra‐ and extraluminal regions of lymphatic vessels due to flow‐induced sprouting and morphological changes that ...
Jacob C. Holter +5 more
wiley +1 more source
On the property of divisibility points of elliptic curves over finite fields on two
In the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve.
Michail Grigorievich Babenko +2 more
doaj
3D printed hybrid scaffolds combining bioactive silica–calcium chemistry with elastic polymers guide human bone stem cells to form bone. The scaffolds support cell survival, organization, and invasion while releasing osteogenic ions. Together, architecture and composition drive bone‐specific gene expression, extracellular matrix organization, and ...
David R. Sory +3 more
wiley +1 more source

