Results 1 to 10 of about 172,487 (303)
Solvability of quasilinear elliptic equations with strong dependence on the gradient [PDF]
Abstract and Applied Analysis, 2000 We study the problem of existence of positive, spherically symmetric strong solutions of quasilinear elliptic equations involving p-Laplacian in the ball. We allow simultaneous strong dependence of the right-hand side on both the unknown function and its
Darko Žubrinić
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Singular Quasilinear Elliptic Systems With Gradient Dependence [PDF]
Positivity, 2021 In this paper, we prove existence and regularity of positive solutions for singular quasilinear elliptic systems involving gradient terms. Our approach is based on comparison properties, a priori estimates and Schauder's fixed point theorem.
Halima Dellouche, Abdelkrim Moussaoui
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The temperature dependence of gradient system response characteristics [PDF]
Magnetic Resonance in Medicine, 2019 PurposeThe gradient system transfer function (GSTF) characterizes the frequency transfer behavior of a dynamic gradient system and can be used to correct non‐Cartesian k‐space trajectories. This study analyzes the impact of the gradient coil temperature of a 3T scanner on the GSTF.MethodsGSTF self‐ and B0‐cross‐terms were acquired for a 3T Siemens ...
Manuel Stich +7 more
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Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient [PDF]
Boundary Value Problems, 2007 We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type theorems to obtain a ...
Sebastian Lorca, Leonelo Iturriaga
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Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs [PDF]
Advanced Nonlinear Studies, 2020 We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities.
Biagi Stefano +2 more
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Nonlinear nonhomogeneous Robin problems with dependence on the gradient [PDF]
Boundary Value Problems, 2018 We consider a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Robin boundary condition and a convection term.
Yunru Bai +2 more
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Positive solutions for thep-Laplacian with dependence on the gradient [PDF]
Nonlinearity, 2012 We prove a result of existence of positive solutions of the Dirichlet problem for $- _p u=\mathrm{w}(x)f(u,\nabla u)$ in a bounded domain $ \subset\mathbb{R}^N$, where $ _p$ is the $p$-Laplacian and $\mathrm{w}$ is a weight function. As in previous results by the authors, and in contrast with the hypotheses usually made, no asymptotic behavior is ...
Hamilton Bueno +3 more
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Nodal solutions for Neumann systems with gradient dependence
Boundary Value ProblemsWe consider the following convective Neumann systems: ( S ) { − Δ p 1 u 1 + | ∇ u 1 | p 1 u 1 + δ 1 = f 1 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in Ω , − Δ p 2 u 2 + | ∇ u 2 | p 2 u 2 + δ 2 = f 2 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in Ω , | ∇ u 1 | p 1 − 2 ...
Kamel Saoudi +2 more
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Nonlinear Robin problems with unilateral constraints and dependence on the gradient [PDF]
Electronic Journal of Differential Equations, 2018 We consider a nonlinear Robin problem driven by the p-Laplacian, with unilateral constraints and a reaction term depending also on the gradient (convection term). Using a topological approach based on fixed point theory (the Leray-Schauder alternative
Nikolaos S. Papageorgiou +2 more
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Inter-ELM pedestal turbulence dynamics dependence on q95 and temperature gradient
Nuclear FusionA series of dedicated experiments from the DIII-D tokamak provide spatially and temporally resolved measurements of electron density and temperature, and multiscale and multichannel fluctuations over a wide range of conditions.
Z. Yan +11 more
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