Results 21 to 30 of about 2,945,859 (241)
Cation gradient dependence of the steps in thrombin stimulation of human platelets.
Journal of Biological Chemistry, 1984 Sheryl M. Greenberg‐Sepersky +1 more
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Multidimensional encoding of restricted and anisotropic diffusion by double rotation of the q vector [PDF]
Magnetic Resonance, 2023 Diffusion NMR and MRI methods building on the classic pulsed gradient spin-echo sequence are sensitive to many aspects of translational motion, including time and frequency dependence (“restriction”), anisotropy, and flow, leading to ambiguities when ...
H. Jiang, L. Svenningsson, D. Topgaard
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Gradient system with dependence on the gradient at nonlinearity [PDF]
Applied Mathematical Sciences, 2013 In this paper we establish existence of solutions for quasilinear elliptic system of gradient form with dependence on the gradient at nonlinearity.
Rua Gabriel Monteiro da Silva +1 more
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Singular quasilinear convective elliptic systems in ℝN
Advances in Nonlinear Analysis, 2022 The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto +2 more
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The $p$-weak gradient depends on $p$ [PDF]
Proceedings of the American Mathematical Society, 2015 Given a>0, we construct a weighted Lebesgue measure on R^n for which the family of non constant curves has p-modulus zero for p\leq 1+a but the weight is a Muckenhoupt A_p weight for p>1+a. In particular, the p-weak gradient is trivial for small p but non trivial for large p. This answers an open question posed by several authors.
di Marino S., Speight G.
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On the relaxation of integral functionals depending on the symmetrized gradient [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020 AbstractWe prove results on the relaxation and weak* lower semicontinuity of integral functionals of the form$${\cal F}[u]: = \int_\Omega f \left( {\displaystyle{1 \over 2}\left( {\nabla u(x) + \nabla u{(x)}^T} \right)} \right) \,{\rm d}x,\quad u:\Omega \subset {\mathbb R}^d\to {\mathbb R}^d,$$over the space BD(Ω) of functions of bounded deformation or
Kosiba, Kamil, Rindler, Filip
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Some recent results on singular p-Laplacian equations
Demonstratio Mathematica, 2022 A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
Guarnotta Umberto +2 more
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Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearity [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019 AbstractIn this paper, we obtain gradient estimates of the positive solutions to weightedp-Laplacian type equations with a gradient-dependent nonlinearity of the form0.1$${\rm div }( \vert x \vert ^\sigma \vert \nabla u \vert ^{p-2}\nabla u) = \vert x \vert ^{-\tau }u^q \vert \nabla u \vert ^m\quad {\rm in}\;\Omega^*: = \Omega {\rm \setminus }\{ 0\} .$$
Joshua Ching, Florica C. Cîrstea
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Polarization-dependent tunneling of light in gradient optics [PDF]
Physical Review E, 2007 Reflection-refraction properties of photonic barriers, formed by dielectric gradient nanofilms, for inclined incidence of both S- and P-polarized electromagnetic (EM) waves are examined by means of exactly solvable models. We present generalized Fresnel formulae, describing the influence of the non-local dispersion on reflectance and transmittance of ...
Shvartsburg, Alexander +2 more
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On a Singular Robin Problem with Convection Terms
Advanced Nonlinear Studies, 2020 In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established.
Guarnotta Umberto +2 more
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