Abstract
We refine the iterated blow-up techniques. This technique, combined with a rigidity result and a specific choice of the kernel projection in the PoincarĂŠ inequality, might be employed to completely linearize blow-ups along at least one sequence. We show how to implement such argument by applying it to derive affine blow-up limits for
Funding statement: Marco Caroccia thanks the financial support of PRIN 2022R537CS âNodal optimization, nonlinear elliptic equations, nonlocal geometric problems, with a focus on regularityâ funded by the European Union under Next Generation EU. Nicolas van Goethem was supported by the FCT project UIDB/04561/2020.
Acknowledgements
The authors are deeply grateful to F. Gmeineder for the content of proposition 5.
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Articles in the same Issue
- Frontmatter
- On the asymptotic behavior of a diffraction problem with a thin layer
- Degenerate parabolic p-Laplacian equations: Existence, uniqueness, and asymptotic behavior of solutions
- Iterative blow-ups for maps with bounded đ-variation: A refinement, with application to BD and BV
- A Sobolev gradient flow for the area-normalised Dirichlet energy of H 1 maps
- An elliptic approximation for phase separation in a fractured material
- The L 1-relaxed area of the graph of the vortex map: Optimal upper bound
- Compactness of PalaisâSmale sequences with controlled Morse index for a Liouville-type functional
- Characterization of sets of finite local and non-local perimeter via non-local heat equation
- On nonexpansiveness of metric projection operators on Wasserstein spaces
- A continuous model of transportation in the Heisenberg group
- Universality of renormalisable mappings in two dimensions: the case of polar convex integrands
- Convergence of a heterogeneous AllenâCahn equation to weighted mean curvature flow
- Harnack inequality for degenerate elliptic equations with matrix weights
- Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the BethuelâZheng theory
- The Capacitary JohnâNirenberg Inequality Revisited
Articles in the same Issue
- Frontmatter
- On the asymptotic behavior of a diffraction problem with a thin layer
- Degenerate parabolic p-Laplacian equations: Existence, uniqueness, and asymptotic behavior of solutions
- Iterative blow-ups for maps with bounded đ-variation: A refinement, with application to BD and BV
- A Sobolev gradient flow for the area-normalised Dirichlet energy of H 1 maps
- An elliptic approximation for phase separation in a fractured material
- The L 1-relaxed area of the graph of the vortex map: Optimal upper bound
- Compactness of PalaisâSmale sequences with controlled Morse index for a Liouville-type functional
- Characterization of sets of finite local and non-local perimeter via non-local heat equation
- On nonexpansiveness of metric projection operators on Wasserstein spaces
- A continuous model of transportation in the Heisenberg group
- Universality of renormalisable mappings in two dimensions: the case of polar convex integrands
- Convergence of a heterogeneous AllenâCahn equation to weighted mean curvature flow
- Harnack inequality for degenerate elliptic equations with matrix weights
- Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the BethuelâZheng theory
- The Capacitary JohnâNirenberg Inequality Revisited