Add to ORKGAbstract: We establish a new oscillation estimate for solutions of nonlinear par-tial differential equations of elliptic, degenerate type. This new tool yields a precise control on the growth rate of solutions near their set of critical points, where ellip-ticity degenerates. As a consequence, we are able to prove the planar counterpart of the longstanding conjecture that solutions of the degenerate p-Poisson equation with a bounded source are locally of class Cp = C1
We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double ph...
AbstractWe prove a class of endpoint pointwise estimates for solutions to quasilinear, possibly dege...
We establish a regularity result for very weak solutions of some degenerate elliptic PDEs. The nonne...
We establish a new oscillation estimate for solutions of nonlinear partial differential equations of...
We establish a new oscillation estimate for solutions of nonlinear partial differential equations of...
AbstractWe prove Cloc1,α estimates for solutions u ϵ W1,p + 2 of the degenerate elliptic p.d.e. div(...
Course description The issue of regularity has obviously played a central role in the theory of Part...
AbstractThis article concerns optimal estimates for nonhomogeneous degenerate elliptic equation with...
Abstract. Local C/, and W2+, " (k _> 1, /> 0, and v> _ 1) regularity is established fo...
The issue of regularity has played a central role in the theory of Partial Differential Equations al...
In this note, we announce new regularity results for some locally in-tegrable distributional solutio...
Abstract. We give dimension-free regularity conditions for a class of possibly de-generate sub-ellip...
We extend to the parabolic setting some of the ideas originated with Xiao Zhong's proof in [31] of t...
AbstractWe establish regularity results for solutions of some degenerate elliptic PDEs, with right-h...
We study the regularity of the p-Poisson equation Δpu=h,h∈Lq, Δpu=h,h∈Lq, in the plane. In the case ...
We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double ph...
AbstractWe prove a class of endpoint pointwise estimates for solutions to quasilinear, possibly dege...
We establish a regularity result for very weak solutions of some degenerate elliptic PDEs. The nonne...
We establish a new oscillation estimate for solutions of nonlinear partial differential equations of...
We establish a new oscillation estimate for solutions of nonlinear partial differential equations of...
AbstractWe prove Cloc1,α estimates for solutions u ϵ W1,p + 2 of the degenerate elliptic p.d.e. div(...
Course description The issue of regularity has obviously played a central role in the theory of Part...
AbstractThis article concerns optimal estimates for nonhomogeneous degenerate elliptic equation with...
Abstract. Local C/, and W2+, " (k _> 1, /> 0, and v> _ 1) regularity is established fo...
The issue of regularity has played a central role in the theory of Partial Differential Equations al...
In this note, we announce new regularity results for some locally in-tegrable distributional solutio...
Abstract. We give dimension-free regularity conditions for a class of possibly de-generate sub-ellip...
We extend to the parabolic setting some of the ideas originated with Xiao Zhong's proof in [31] of t...
AbstractWe establish regularity results for solutions of some degenerate elliptic PDEs, with right-h...
We study the regularity of the p-Poisson equation Δpu=h,h∈Lq, Δpu=h,h∈Lq, in the plane. In the case ...
We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double ph...
AbstractWe prove a class of endpoint pointwise estimates for solutions to quasilinear, possibly dege...
We establish a regularity result for very weak solutions of some degenerate elliptic PDEs. The nonne...