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Regularity of the correctors and local gradient estimate of the homogenization for the elliptic equation: linear periodic case

Mathematics – Analysis of PDEs
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Regularity of the D-module associated to a symmetric pair

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Regularity of the distance function to the boundary

Mathematics – Analysis of PDEs
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Regularity of the extremal solution for a fourth-order elliptic problem with singular nonlinearity

Mathematics – Analysis of PDEs
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Regularity of the extremal solution for some elliptic problems with advection

Mathematics – Analysis of PDEs
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Regularity of the extremal solution in a MEMS model with advection

Mathematics – Analysis of PDEs
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Regularity of the extremal solutions in a Gelfand system problem

Mathematics – Analysis of PDEs
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Regularity of the minimizers in the composite membrane problem in R^2

Mathematics – Analysis of PDEs
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Regularity of the Monge-Ampère equation in Besov's space

Mathematics – Analysis of PDEs
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Regularity of the nodal set of segregated critical configurations under a weak reflection law

Mathematics – Analysis of PDEs
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Regularity of the singular set for Mumford-Shah minimizers in R^3 near a minimal cone

Mathematics – Analysis of PDEs
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Regularity of the solutions for nonlinear biharmonic equations in R^{N}

Mathematics – Analysis of PDEs
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Regularity of traveling free surface water waves with vorticity

Mathematics – Analysis of PDEs
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Regularity of traveling periodic stratified water waves with vorticity

Mathematics – Analysis of PDEs
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Regularity of Wave-Maps in dimension 2+1

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Regularity of weak solutions of the compressible barotropic Navier-Stokes equations

Mathematics – Analysis of PDEs
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Regularity of weak solutions of the compressible isentropic Navier-Stokes equation

Mathematics – Analysis of PDEs
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Regularity properties of nonlocal minimal surfaces via limiting arguments

Mathematics – Analysis of PDEs
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Regularity properties of optimal transportation problems arising in hedonic pricing models

Mathematics – Analysis of PDEs
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Regularity properties of the distance function to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and application in Riemannian geometry

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