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On the Laplace equation with dynamical boundary conditions of reactive–diffusive type

✍ Scribed by Juan Luis Vázquez; Enzo Vitillaro


Book ID
108178403
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
264 KB
Volume
354
Category
Article
ISSN
0022-247X

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Global solutions of the Laplace equation
✍ Marek Fila; Pavol Quittner 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 112 KB 👁 2 views

We study the boundedness and a priori bounds of global solutions of the problem u"0 in ;(0, ¹ ), j S j R # j S j "h(u) on j ;(0, ¹ ), 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