Solvability of quasilinear elliptic equations with strong dependence on the gradient [PDF]
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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Robin problems for the p-Laplacian with gradient dependence
We consider a nonlinear elliptic equation with Robin boundary condition driven by the p-Laplacian and with a reaction term which depends also on the gradient.
G. Fragnelli +2 more
semanticscholar +4 more sources
Nonlinear Robin problems with unilateral constraints and dependence on the gradient [PDF]
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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Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition.
Yunru Bai
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Inter-ELM pedestal turbulence dynamics dependence on q95 and temperature gradient
A 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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On periodic elliptic equations with gradient dependence
We construct entire solutions of $\Delta u=f(x,u,\nabla u)$ which are superpositions of odd, periodic functions and linear ones, with prescribed integer or rational slope.
M. Berti, M. Matzeu, E. Valdinoci
semanticscholar +5 more sources
Semilinear elliptic equations with dependence on the gradient
In this article we consider elliptic equations whose nonlinear term depends on the gradient of the unknown. We assume that the nonlinearity has a asymptotically linear growth at zero and at infinity with respect to the second variable.
Guanggang Liu, Shaoyun Shi, Yucheng Wei
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Scale dependence of canopy trait distributions along a tropical forest elevation gradient [PDF]
Gregory P. Asner +16 more
openalex +2 more sources
Multidimensional encoding of restricted and anisotropic diffusion by double rotation of the q vector [PDF]
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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Singular quasilinear convective elliptic systems in ℝN
The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto +2 more
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