Results 21 to 30 of about 300 (152)
Quasilinear elliptic equations with VMO coefficients [PDF]
Strong solvability and uniqueness in Sobolev space W 2
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Partial regularity for parabolic systems with VMO-coefficients
The author studies the regularity properties of the solutions of the following parabolic system in divergence form \[ u_t-\mathrm{div} A(x,t,u,Du)=0 \qquad \text{ in } \Omega_T=\Omega\times(-T,0)) \] It is established a partial Hölder regularity result for the weak solutions imposing standard \(p\)-growth condition and ellipticity condition on the ...
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Hydrogen Bond‐Assisted PCET and Formation of WIII─OH in Bis(Dithiolene) Complex
The single crystal structure of complex [2Et3NH‐1] reveals hydrogen bonding at both W‐oxo and dithiolene‐S sites within the bis(dithiolene) WIV‐oxo complex. This finding provides critical evidence for dithiolene's involvement in proton reactions in high‐valent W‐oxo complexes.
Wonjung Lee +9 more
wiley +2 more sources
Purpose: The aim of this study was to assess within-session reliability and concurrent validity of a wireless surface electromyography device (MR EMG) relative to a wireless criterion system (Delsys Trigno) during dynamic leg extension at varying loading
Jamie J. Ghigiarelli +5 more
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An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients
In this paper, we provide an alternative approach to partially Hölder continuity of some quasilinear elliptic systems with discontinuous coefficients under natural growth.
Haiyan Yu, Shenzhou Zheng, Yuxia Tong
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Spectral Response Modelling of Multilayer Graphene/Quantum Dot Heterostructures
The spectral response of a multilayer heterostructure device with multiple layers of graphene and photosensitizers of different bandgaps (ZnO and quantum dots) is simulated and validated with experimental data. Our simulation incorporates photon absorption by the photosensitizers and charge collection by graphene, capturing the photoresponse dependence
Ju Ying Shang +2 more
wiley +1 more source
Parabolic equations with variably partially VMO coefficients [PDF]
We prove the $W^{1,2}_{p}$-solvability of second order parabolic equations in nondivergence form in the whole space for $p\in (1,\infty)$. The leading coefficients are assumed to be measurable in one spatial direction and have vanishing mean oscillation (VMO) in the orthogonal directions and the time variable in each small parabolic cylinder with the ...
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Regularity theory for nonlocal equations with VMO coefficients
We prove higher regularity for nonlinear nonlocal equations with possibly discontinuous coefficients of VMO type in fractional Sobolev spaces. While for corresponding local elliptic equations with VMO coefficients it is only possible to obtain higher integrability, in our nonlocal setting we are able to also prove a substantial amount of higher ...
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W2,p a priori estimates for nonvariational operators: the sharp maximal function technique
We consider a nonvariational degenerate elliptic operator, structured on a system of left invariant, 1-homogeneous, Hörmander vector fields on a Carnot group, where the coefficient matrix is symmetric, uniformly positive on a bounded domain and the ...
Marco Bramanti
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Abstract BACKGROUND Botanical extracts are widely consumed for their claimed health benefits, yet their safety profile with respect to chronic consumption remains poorly characterized. Understanding the potential health risks associated with their inorganic content is a crucial issue for ensuring safe use, along with a characterization of the ...
Giovanni Tommaso Lanza +5 more
wiley +1 more source

