Results 1 to 10 of about 3,278,211 (362)
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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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
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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
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Gradient system with dependence on the gradient at nonlinearity
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.
Evandro Ziggiatti Monteiro
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Confirming the Unusual Temperature Dependence of the Electric-Field Gradient in Zn [PDF]
Crystals, 2022 The electric-field gradient (EFG) at nuclei in solids is a sensitive probe of the charge distribution. Experimental data, which previously only existed in insulators, have been available for metals with the development of nuclear measuring techniques ...
Heinz Haas +9 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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Flux‐gradient relations and their dependence on turbulence anisotropy [PDF]
Quarterly Journal of the Royal Meteorological SocietyAbstractMonin–Obukhov similarity theory (MOST) is used in virtually all Earth System Models to parametrize the near‐surface turbulent exchanges and mean variable profiles. Despite its widespread use, there is high uncertainty in the literature about the appropriate parametrizations to use.
S. Mosso, Marc Calaf, Ivana Stiperski
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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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, 2017 For the homogeneous Dirichlet problem involving a system of equations driven by \begin{document}$(p,q)$\end{document} -Laplacian operators and general gradient dependence we prove the existence of solutions in the ordered rectangle determined by a ...
Dumitru Motreanu +2 more
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