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
doaj +6 more sources
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
doaj +4 more sources
Singular quasilinear elliptic systems with gradient dependence [PDF]
Positivity, 2022 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
semanticscholar +4 more sources
A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence
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
doaj +2 more sources
The dependence of the gradients of oxygen and nitrogen-to-oxygen on stellar age in MaNGA galaxies [PDF]
A&A 655, A58 (2021), 2021 We derive the oxygen abundance (O/H), the nitrogen-to-oxygen (N/O) abundance ratio, and their corresponding radial gradients for a sample of 1431 galaxies from MaNGA DR15 survey using two different realizations of the strong line method: empirical R calibration and the Bayesian model-based {\sc HII-CHI-mistry} ({\sc HCm}) code.
I. A. Zinchenko +5 more
arxiv +3 more sources
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
openalex +5 more sources
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
doaj +2 more sources
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
doaj +3 more sources
Calcium gradient dependence of Neurospora crassa hyphal growth
Microbiology, 2003 A tip-high cytoplasmic calcium gradient has been identified as a requirement for hyphal growth in the fungus Neurospora crassa. The Ca2+ gradient is less steep compared to wall vesicle, wall incorporation and vesicular Ca2+ gradients, but this can be ...
Lorelei Silverman‐Gavrila +1 more
openalex +2 more sources
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
doaj +4 more sources