Interpolation inequalities for partial regularity
-
Christoph Hamburger
Abstract
We propose two new direct methods for proving partial regularity of
solutions of nonlinear elliptic or parabolic systems. The methods are based
on two similar interpolation inequalities for solutions of linear systems
with constant coefficient. The first results from an interpolation
inequality of
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Artikel in diesem Heft
- Frontmatter
- A strict inequality for the minimization of the Willmore functional under isoperimetric constraint
- Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian
- A note on indecomposable sets of finite perimeter
- Gamma-convergence of Gaussian fractional perimeter
- A speed preserving Hilbert gradient flow for generalized integral Menger curvature
- A new proof of compactness in G(S)BD
- Interpolation inequalities for partial regularity
- Area formula for regular submanifolds of low codimension in Heisenberg groups
- Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere
- Gradient estimates for an orthotropic nonlinear diffusion equation
- Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition
- Integral representation of local functionals depending on vector fields
Artikel in diesem Heft
- Frontmatter
- A strict inequality for the minimization of the Willmore functional under isoperimetric constraint
- Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian
- A note on indecomposable sets of finite perimeter
- Gamma-convergence of Gaussian fractional perimeter
- A speed preserving Hilbert gradient flow for generalized integral Menger curvature
- A new proof of compactness in G(S)BD
- Interpolation inequalities for partial regularity
- Area formula for regular submanifolds of low codimension in Heisenberg groups
- Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere
- Gradient estimates for an orthotropic nonlinear diffusion equation
- Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition
- Integral representation of local functionals depending on vector fields
