Results 21 to 30 of about 3,278,211 (362)
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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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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Semilinear Elliptic Systems with Dependence on the Gradient [PDF]
Mediterranean Journal of Mathematics, 2018 The authors prove existence and multiplicity results for radial solutions of semilinear elliptic systems with full gradient dependence that are subject to boundary values problems on an annulus. The approach relies on the fixed point index.
F. Cianciaruso, P. Pietramala
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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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Revisiting Gradient Clipping: Stochastic bias and tight convergence guarantees [PDF]
International Conference on Machine Learning, 2023 Gradient clipping is a popular modification to standard (stochastic) gradient descent, at every iteration limiting the gradient norm to a certain value $c>0$.
Anastasia Koloskova +2 more
semanticscholar +1 more source
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$${\rm div }( \vert x \vert ^\sigma \vert \nabla u \vert ^{p-2}\nabla u) = \vert x \vert ^{-\tau }u^q \vert \nabla u \vert ^m\quad {\rm in}\;\Omega^*: = \Omega {\rm \setminus }\{ 0\} .$$
Ching, Joshua, Cîrstea, Florica C.
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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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NeuroImage, 2023 The dependence of the diffusion MRI signal on the diffusion time carries signatures of restricted diffusion and exchange. Here we seek to highlight these signatures in the human brain by performing experiments using free gradient waveforms designed to be
Arthur Chakwizira +5 more
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Material dependence of Casimir forces: gradient expansion beyond proximity [PDF]
, 2011 A widely used method for estimating Casimir interactions [H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)] between gently curved material surfaces at short distances is the proximity force approximation (PFA).
Casimir H. B. G. +6 more
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On convergence of gradient-dependent integrands [PDF]
Applications of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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