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A coupled system in elliptic nonlinear problems with nonstandard boundary conditions

✍ Scribed by L. Consiglieri


Book ID
108176010
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
192 KB
Volume
340
Category
Article
ISSN
0022-247X

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A quasilinearization method for elliptic
✍ P. Amster; P. De NΓ‘poli πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 161 KB

We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under