We consider the energy-critical heat equation in ℝn for n ≥ 6 (Formula presented) which corresponds to the L2-gradient flow of the Sobolev-critical energy (Formula presented) Given any k ≥ 2 we find an...
We consider the energy-critical heat equation in ℝn for n ≥ 6 (Formula presented) which corresponds to the L2-gradient flow of the Sobolev-critical energy (Formula presented) Given any k ≥ 2 we find an...
In this paper we initiate the study of second-order variational problems in L ∞, seeking to minimise the L ∞ norm of a function of the hessian.We also derive and study the respective PDE arising as the...
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