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arxiv: 1207.3645 · v2 · pith:BIDMIZKVnew · submitted 2012-07-16 · 🧮 math.AP

The Gel'fand problem for the biharmonic operator

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keywords biharmonicboundeddomainsellipticentireequationfandfourth
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We study stable solutions of a fourth order nonlinear elliptic equation, both in entire space and in bounded domains.

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