Gradient estimates for the perfect conductivity problem in anisotropic media
From MaRDI portal
Publication:2317079
DOI10.1016/j.matpur.2018.09.006zbMath1421.35078arXiv1803.04148OpenAlexW2964072654WikidataQ129238380 ScholiaQ129238380MaRDI QIDQ2317079
Giulio Ciraolo, Angela Sciammetta
Publication date: 8 August 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.04148
Boundary value problems for second-order elliptic equations (35J25) Composite media; random media in optics and electromagnetic theory (78A48) Blow-up in context of PDEs (35B44) Quasilinear elliptic equations (35J62)
Related Items (15)
Gradient estimates for the insulated conductivity problem: The case of m-convex inclusions ⋮ Asymptotic analysis for the electric field concentration with geometry of the core-shell structure ⋮ Singularities of the stress concentration in the presence of 𝐶^{1,𝛼}-inclusions with core-shell geometry ⋮ Anisotropic conductivity problem with both perfect and insulated inclusions ⋮ Gradient asymptotics of solutions to the Lamé systems in the presence of two nearly touching \(C^{1, \gamma }\)-inclusions ⋮ The insulated conductivity problem with \(p\)-Laplacian ⋮ Gradient estimates for the insulated conductivity problem with inclusions of the general m‐convex shapes ⋮ Estimates for stress concentration between two adjacent rigid inclusions in Stokes flow ⋮ 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 ⋮ Boundary Blow-Up Analysis of Gradient Estimates for Lamé Systems in the Presence of $m$-Convex Hard Inclusions ⋮ Asymptotics for the concentrated field between closely located hard inclusions in all dimensions ⋮ Estimates and asymptotics for the stress concentration between closely spaced stiff \(C^{1, \gamma }\) inclusions in linear elasticity ⋮ The asymptotics for the perfect conductivity problem with stiff \(C^{1,\alpha}\)-inclusions ⋮ Existence of two positive solutions for anisotropic nonlinear elliptic equations
Cites Work
- Unnamed Item
- Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs
- An optimal estimate for electric fields on the shortest line segment between two spherical insulators in three dimensions
- Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two
- Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
- An optimal anisotropic Poincaré inequality for convex domains
- An overdetermined problem for the anisotropic capacity
- Gradient estimates for parabolic systems from composite material
- Overdetermined anisotropic elliptic problems
- Gradient estimates for the perfect conductivity problem
- Symmetrization with respect to the anisotropic perimeter and applications
- A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites
- Anisotropic motion by mean curvature in the context of Finsler geometry
- Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
- Nonlinear Calderón-Zygmund theory in the limiting case
- Gradient estimates for solutions to the conductivity problem
- A computational approach to fractures in crystal growth.
- 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
- Gradient estimates for solutions of the Lamé system with partially infinite coefficients
- Optimal boundary gradient estimates for Lamé systems with partially infinite coefficients
- A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media
- Optimal estimates for the electric field in two dimensions
- Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
- Gradient Estimates for the Perfect and Insulated Conductivity Problems with Multiple Inclusions
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Singular Behavior of Electric Field of High-Contrast Concentrated Composites
- Remarks on a Finsler-Laplacian
- Crystalline variational problems
- Estimates for elliptic systems from composite material
- Wulff shape characterizations in overdetermined anisotropic elliptic problems
- Blow-up of Solutions to a $p$-Laplace Equation
- An Elliptic Regularity Result for a Composite Medium with "Touching" Fibers of Circular Cross-Section
- Estimates for Electric Fields Blown Up between Closely Adjacent Conductors with Arbitrary Shape
- An Iterative Regularization Method for Total Variation-Based Image Restoration
- On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity
This page was built for publication: Gradient estimates for the perfect conductivity problem in anisotropic media
