48 citations · 103 across the 12 of their papers we have counts for
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math.AP2012★ 48 cited
The Gel'fand problem for the biharmonic operator
Louis Dupaigne, Olivier Goubet, Guillaume Warnault +1
We study stable solutions of a fourth order nonlinear elliptic equation, both in entire space and in bounded domains.
math.AP2012★ 1 cited
Uniqueness of large solutions
Ovidiu Costin, Louis Dupaigne, Olivier Goubet
Given a nondecreasing nonlinearity , we prove uniqueness of large solutions in the following two cases: the domain is the ball or the domain has nonnegative mean curvature and t…