A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence [PDF]
Mathematics, 2020 The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems.
Dumitru Motreanu +2 more
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Diffusion dispersion imaging: Mapping oscillating gradient spin‐echo frequency dependence in the human brain [PDF]
Magnetic Resonance in Medicine, 2019 Oscillating gradient spin‐echo (OGSE) diffusion MRI provides information about the microstructure of biological tissues by means of the frequency dependence of the apparent diffusion coefficient (ADC).
Aidin Arbabi +3 more
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Nodal solutions for Neumann systems with gradient dependence [PDF]
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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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 Elliptic Inclusions with Unilateral Constraint and Dependence on the Gradient [PDF]
, 2016 We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient.
Νικόλαος Παπαγεωργίου +2 more
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Location of solutions for quasi-linear elliptic equations with general gradient dependence
Electronic Journal of Qualitative Theory of Differential Equations, 2017 Existence and location of solutions to a Dirichlet problem driven by $(p,q)$-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution.
Dumitru Motreanu, Elisabetta Tornatore
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, 2018 We consider a nonlinear elliptic problem driven by the Dirichlet p-Laplacian and a reaction term which depends also on the gradient (convection). No growth condition is imposed on the reaction term f (z, ·, y).
Nikolaos S. Papageorgiou +2 more
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Nonlinear nonhomogeneous Robin problems with dependence on the gradient
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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Scale dependence of canopy trait distributions along a tropical forest elevation gradient [PDF]
New Phytologist, 2016 Gregory P. Asner +16 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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