We study the regularity of minima of scalar variational integrals of p-growth, 1<p><∞, in the Heisenberg group and prove the Hölder continuity of horizontal gradient of minima.</p>
La Manna, Domenico Angelo; Leone, Chiara; Schiattarella, Roberta(Birkhäuser, 2020)
In this paper we consider a linear elliptic equation in divergence form ∑i,jDj(aij(x)Diu)=0in Ω. (0.1)
Assuming the coefficients aij in W1,n(Ω) with a modulus of continuity satisfying a certain Dini-type continuity ...
Blanc, Pablo; Parviainen, Mikko; Rossi, Julio D.(Springer, 2022)
In this paper we prove an asymptotic C1,γ-estimate for value functions of stochastic processes related to uniformly elliptic dynamic programming principles. As an application, this allows us to pass to the limit with a ...
Optimal estimates on asymptotic behaviors of weak solutions both at the
origin and at the infinity are obtained to the following quasilinear elliptic equations
−Δpu − μ
|x|
p |u|
p−2
u + m|u|
p−2
u = f(u), x ∈ RN ...
We establish regularity of conformal maps between sub-Riemannian manifolds from regularity of Q-harmonic functions, and in particular we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth in all contact ...
