Positone

English

Adjective

1. Template:Lb of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
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     Finally, we mention that several papers studied nonlinear eigenvalue problems of the form

     $\{\begin{array}{c}-\mathrm{\Delta }x(z)=\lambda f(x(z))\text{ for a.a. }z\in \mathrm{\Omega },\\ x{|}_{\partial \mathrm{\Omega }},x\ge 0\end{array}$

     for $\lambda >0$ under the assumption that $f:ℝ\to ℝ$ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity $f:ℝ\to ℝ$ is continuous, monotone and $f(0)<0$,...then the eigenvalue problem is called semipositone...

Derived terms

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Italian

Noun

1. Template:Alternative form of

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