C1,a regularity of solutions of some degenerate fully non-linear elliptic equations

By Cyril Imbert, Luis Silvestre. 2013

75 citations recorded by the source corpus.

Citations in the corpus

Regularity of solutions to a class of variable–exponent fully nonlinear elliptic equations (2018, unknown): “tly in [21] and [25] by means of Alexandroﬀ-Bakelman-Pucci estimate; see also [27] for a much more robust treatment. Upon boundedness assumption on the source function f, Imbert andSilvestreproved in [26] that solutions are locally of class C1,α, for some 0 <α≪ 1. Under convexity assumption on th”
Recent developments in problems with nonstandard growth and nonuniform ellipticity (2021, unknown): “This extends basic work of Imbert & Silvestre [134] for the case a(·) ≡ 0.”
Hölder estimates for viscosity solutions of equations of fractional p-Laplace type (2014, unknown): “ingular) equations of non-divergence form, remained fairly unstudied until quite recently. Starting with [BD04], these equations have attracted an increasing amount of attention. See also [Imb11] and [IS13] where Cα and C1,α-estimates are established, respectively. 2 Viscosity solutions In this sect”