Displaying similar documents to “Correction to the paper: C 1 , α local regularity for the solutions of the p-Laplacian on the Heisenberg group. The case 1 + 1 5 < p ≤ 2 ”

An application of eigenfunctions of p -Laplacians to domain separation

Herbert Gajewski (2001)

Mathematica Bohemica

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We are interested in algorithms for constructing surfaces Γ of possibly small measure that separate a given domain Ω into two regions of equal measure. Using the integral formula for the total gradient variation, we show that such separators can be constructed approximatively by means of sign changing eigenfunctions of the p -Laplacians, p → 1 , under homogeneous Neumann boundary conditions. These eigenfunctions turn out to be limits of steepest descent methods applied to suitable norm quotients. ...

A regularity criterion for the 2D MHD and viscoelastic fluid equations

Zhuan Ye (2015)

Annales Polonici Mathematici

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This paper is dedicated to a regularity criterion for the 2D MHD equations and viscoelastic equations. We prove that if the magnetic field B, respectively the local deformation gradient F, satisfies ∇ B , ∇ F ∈ L q ( 0 , T ; L p ( ℝ ² ) ) for 1/p + 1/q = 1 and 2 < p ≤ ∞, then the corresponding local solution can be extended beyond time T.