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20082022
most citedThe critical dimension for a 4th order problem with singular nonlinearity

56 citations · 68 across the 19 of their papers we have counts for

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Showing 2010Show all

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math.AP2010

Regularity of the extremal solutions in a Gelfand system problem

Craig Cowan

We examine a Gelfand type system and show the extremal solutions are bounded provided we are close enough to the scalar case.

math.AP2010

Regularity of Extremal Solutions in Fourth Order Nonlinear Eigenvalue Problems on General Domains

Craig Cowan, Pierpaolo Esposito, Nassif Ghoussoub

We examine the regularity of the extremal solution of the nonlinear eigenvalue problem on a general bounded domain in $ \IR^N$, with the Navier boundary conditi…