Titlebook: Geometric Methods in PDE’s; Giovanna Citti,Maria Manfredini,Francesco Uguzzoni Conference proceedings 2015 Springer International Publishi

不合

慢慢流出

,Hölder Regularity of the Gradient for Solutions of Fully Nonlinear Equations with Sub Linear First Using an improvement of flatness Lemma, we prove Hölder regularity of the gradient of solutions with higher order term a uniformly elliptic fully nonlinear operator and with Hamiltonian which is sub-linear. The result is based on some general compactness results.

miniature

柔美流畅

Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-DRecently, Bourgain and Brezis and Lanzani and Stein considered a class of div-curl inequalities in de Rham’s complex. In this note we prove the natural counterpart of these inequalities for horizontal vector fields in the Engel group and in the seven-dimensional quaternionic Heisenberg group.

Aromatic

Regularity of the Free Boundary in Problems with Distributed Sources,In this survey paper we describe some recent progress on the analysis of two phase free boundary problems governed by elliptic inhomogeneous equations. We also discuss several open questions.

出价

On the Hardy Constant of Some Non-convex Planar Domains,/16 was obtained, there has been a substantial interest on computing or estimating the Hardy constant of planar domains. In Barbatis and Tertikas (J Funct Anal 266:3701–3725, 2014) we have determined the Hardy constant of an arbitrary quadrilateral in the plane. In this work we continue our investig

Chromatic

Vasoconstrictor

Incorporate

aquatic

,Sum Operators and Fefferman–Phong Inequalities,) by Franchi, Perez and Wheeden. Then we prove an embedding inequality of Fefferman–Phong type. As an application we give a unique continuation result for non negative solutions of some subelliptic equations.