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Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition

✍ Scribed by Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki

Book ID
120156022
Publisher
American Institute of Mathematical Sciences
Year
2012
Tongue
English
Weight
434 KB
Volume
11
Category
Article
ISSN
1534-0392

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Global solutions of the Laplace equation
Global solutions of the Laplace equation with a nonlinear dynamical boundary condition
✍ Marek Fila; Pavol Quittner πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 112 KB πŸ‘ 2 views

We study the boundedness and a priori bounds of global solutions of the problem u"0 in ;(0, ΒΉ ), j S j R # j S j "h(u) on j ;(0, ΒΉ ), where is a bounded domain in 1,, is the outer normal on j and h is a superlinear function. As an application of our results we show the existence of sign-changing sta