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On an integral representation of the solution of the Laplace equation with mixed boundary conditions

✍ Scribed by T. E. Moiseev


Book ID
110159025
Publisher
Springer
Year
2011
Tongue
English
Weight
261 KB
Volume
47
Category
Article
ISSN
0012-2661

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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