Results 151 to 160 of about 93,033 (295)

Operator compression with deep neural networks. [PDF]

open access: yesAdv Contin Discret Model, 2022
Kröpfl F, Maier R, Peterseim D.
europepmc   +1 more source

Semilinear elliptic equations with dependence on the gradient

open access: yesElectronic Journal of Differential Equations, 2012
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
doaj  

Elastic anisotropy in the reduced Landau-de Gennes model. [PDF]

open access: yesProc Math Phys Eng Sci, 2022
Han Y, Harris J, Majumdar A, Zhang L.
europepmc   +1 more source

An inverse boundary-value problem for semilinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 2010
We show that in dimension two or greater, a certain equivalence class of the scalar coefficient $a(x,u)$ of the semilinear elliptic equation $Delta u,+a(x,u)=0$ is uniquely determined by the Dirichlet to Neumann map of the equation on a bounded ...
Ziqi Sun
doaj  

Multiplicity results for nonlinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 2006
Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud   +2 more
doaj  

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