Results 151 to 160 of about 376,175 (295)

Inverse eigenvalue problems for semilinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 2009
We consider the inverse nonlinear eigenvalue problem for the equation $$displaylines{ -Delta u + f(u) = lambda u, quad u > 0 quad hbox{in } Omega,cr u = 0 quad hbox{on } partialOmega, } where $f(u)$ is an unknown nonlinear term, $Omega subset ...
Tetsutaro Shibata
doaj  

Operator compression with deep neural networks. [PDF]

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

Existence of positive solutions for Dirichlet problems of some singular elliptic equations

open access: yesElectronic Journal of Differential Equations, 2003
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations similar to the singular Emden-Fowler equation.
Zhiren Jin
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

Multiple solutions of nonlinear fractional elliptic equations via Morse theory

open access: yesElectronic Journal of Differential Equations, 2017
This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of semilinear Laplacian equations to the nonlocal fractional setting. Using the variational methods
Wei Qi, Lin Zhao, Xingjie Yan
doaj  

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