86 citations · 287 across the 72 of their papers we have counts for
80 papers
Global second-order estimates in anisotropic elliptic problems
Carlo Alberto Antonini, Andrea Cianchi, Giulio Ciraolo +2
We deal with boundary value problems for second-order nonlinear elliptic equations in divergence form, which emerge as Euler-Lagrange equations of integral functionals of the Calcu…
The Fundamental Solution of an Elliptic Equation with Singular Drift
Vladimir Maz'ya, Robert McOwen
For , we study the existence and asymptotic properties of the fundamental solution for elliptic operators in nondivergence form, ${\mathcal L}(x,\partial_x)=a_{ij}(x)\part…
The functional dissipativity of certain systems of partial differential equations
Alberto Cialdea, Vladimir Maz'ya
In the present paper we consider the functional dissipativity of the Dirichlet problem for systems of partial differential operators of the form $\partial_{h} ({\mathop{\mathscr A}…
Gradient Estimate for Solutions of Second-Order Elliptic Equations
Vladimir Maz'ya, Robert McOwen
We obtain a local estimate for the gradient of solutions to a second-order elliptic equation in divergence form with bounded measurable coefficients that are square-Dini continuous…
Gilbarg-Serrin Equation and Lipschitz Regularity
Vladimir Maz'ya, Robert McOwen
We discuss conditions for Lipschitz and C^1 regularity for a uniformly elliptic equation in divergence form with coefficients that were introduced by Gilbarg & Serrin. In particula…
Criterion for the functional dissipativity of the Lamé operator
A. Cialdea, V. Maz'ya
After introducing the concept of functional dissipativity of the Dirichlet problem in a domain for systems of partial differential operators of the form $\…