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Bifurcations for semilinear elliptic equations with convex nonlinearity

open access: yesElectronic Journal of Differential Equations, 1999
We investigate the exact number of positive solutions of the semilinear Dirichlet boundary value problem $Delta u+f(u) = 0$ on a ball in ${mathbb R}^n$ where $f$ is a strictly convex $C^2$ function on $[0,infty)$. For the one-dimensional case we classify
J. Karatson, Peter L. Simon
doaj  

Evolving spatiotemporal patterns and urban scaling of deaths from external causes. [PDF]

open access: yesSci Rep
Sampaio Filho CIN   +6 more
europepmc   +1 more source

Amplification through local critical behavior in the mammalian cochlea. [PDF]

open access: yesProc Natl Acad Sci U S A
Alonso RG   +3 more
europepmc   +1 more source

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