On an elliptic equation arising from composite materials
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Publication:303702
DOI10.1007/s00205-016-0996-9zbMath1351.35041arXiv1505.01042OpenAlexW3104458951WikidataQ60138084 ScholiaQ60138084MaRDI QIDQ303702
Publication date: 22 August 2016
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.01042
Composite and mixture properties (74E30) Variational methods for higher-order elliptic equations (35J35)
Related Items (21)
Gradient estimates for the insulated conductivity problem: The case of m-convex inclusions ⋮ Global gradient estimates for nonlinear equations of \(p\)-Laplace type from composite materials ⋮ Anisotropic conductivity problem with both perfect and insulated inclusions ⋮ Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two ⋮ Gradient estimates for elliptic systems from composite materials with closely spaced stiff \(C^{1, \gamma}\) inclusions ⋮ Lower bounds of gradient's blow-up for the Lamé system with partially infinite coefficients ⋮ Upper and lower bounds for stress concentration in linear elasticity when 𝐶^{1,𝛼} inclusions are close to boundary ⋮ Optimal Estimates for the Perfect Conductivity Problem with Inclusions Close to the Boundary ⋮ Stress Blowup Analysis When a Suspending Rigid Particle Approaches the Boundary in Stokes Flow: 2-Dimensional Case ⋮ Optimal estimates for transmission problems including relative conductivities with different signs ⋮ The perfect conductivity problem with arbitrary vanishing orders and non-trivial topology ⋮ Gradient estimates for the insulated conductivity problem with inclusions of the general m‐convex shapes ⋮ Calderón‐Zygmund estimates for higher order elliptic equations from composite material ⋮ 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 ⋮ Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two ⋮ Optimal estimates for the conductivity problem by Green's function method ⋮ Estimates and asymptotics for the stress concentration between closely spaced stiff \(C^{1, \gamma }\) inclusions in linear elasticity ⋮ Optimal gradient estimates for the perfect conductivity problem with \(C^{1,\alpha}\) inclusions ⋮ Characterization of electric fields between two spherical perfect conductors with general radii in 3D ⋮ Optimal boundary gradient estimates for Lamé systems with partially infinite coefficients
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