Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two
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Publication:2696246
DOI10.1007/s00208-022-02368-xOpenAlexW3114528457MaRDI QIDQ2696246
Publication date: 11 April 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.14056
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44)
Related Items (8)
Gradient estimates for the insulated conductivity problem: The case of m-convex inclusions ⋮ Stress Blowup Analysis When a Suspending Rigid Particle Approaches the Boundary in Stokes Flow: 2-Dimensional Case ⋮ The insulated conductivity problem with \(p\)-Laplacian ⋮ Optimal estimates for transmission problems including relative conductivities with different signs ⋮ Gradient estimates for the insulated conductivity problem with inclusions of the general m‐convex shapes ⋮ Exact solutions for the insulated and perfect conductivity problems with concentric balls ⋮ Stress blow-up analysis when suspending rigid particles approach boundary in 3D Stokes flow ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review
Cites Work
- An optimal estimate for electric fields on the shortest line segment between two spherical insulators in three dimensions
- On an elliptic equation arising from composite materials
- Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two
- On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D
- Gradient estimates for the perfect conductivity problem
- Stress amplification in vanishingly small geometries
- Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
- Optimal estimates for the conductivity problem by Green's function method
- Electric field concentration in the presence of an inclusion with eccentric core-shell geometry
- Gradient estimates for solutions to the conductivity problem
- Smoothness of linear laminates
- Asymptotics and computation of the solution to the conductivity equation in the presence of adjacent inclusions with extreme conductivities
- Spectral analysis of the Neumann-Poincaré operator and characterization of the stress concentration in anti-plane elasticity
- Damage analysis of fiber composites. I: Statistical analysis of fiber scale
- Quantitative Jacobian determinant bounds for the conductivity equation in high contrast composite media
- Gradient estimates for solutions of the Lamé system with partially infinite coefficients
- Characterization of electric fields between two spherical perfect conductors with general radii in 3D
- Optimal estimates for the electric field in two dimensions
- Optimal bound on high stresses occurring between stiff fibers with arbitrary shaped cross-sections
- Pointwise bounds on the gradient and the spectrum of the Neumann-Poincaré operator: The case of 2 discs
- Gradient Estimates for the Perfect and Insulated Conductivity Problems with Multiple Inclusions
- Asymptotics for the Electric Field Concentration in the Perfect Conductivity Problem
- High Shear Stresses in Stiff-Fiber Composites
- Gradient Estimates of Solutions to the Conductivity Problem with Flatter Insulators
- Singular Behavior of Electric Field of High-Contrast Concentrated Composites
- Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors
- Stresses in Narrow Regions
- Estimates for elliptic systems from composite material
- An Elliptic Regularity Result for a Composite Medium with "Touching" Fibers of Circular Cross-Section
- Close-To-Touching Acoustic Subwavelength Resonators: Eigenfrequency Separation and Gradient Blow-Up
- Asymptotics of the Gradient of Solutions to the Perfect Conductivity Problem
- Estimates for Electric Fields Blown Up between Closely Adjacent Conductors with Arbitrary Shape
- Characterization of the Electric Field Concentration between Two Adjacent Spherical Perfect Conductors
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