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Regularity of quasilinear sub-elliptic equations in the Heisenberg group
PublisherUniversity of Jyväskylä
ISSN Search the Publication Forum1457-8905
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- Väitöskirjat 
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C1,α-regularity for variational problems in the Heisenberg group Mukherjee, Shirsho; Zhong, Xiao (Mathematical Sciences Publishers, 2021)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>
On the regularity of very weak solutions for linear elliptic equations in divergence form 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 ...
Asymptotic C1,γ-regularity for value functions to uniformly elliptic dynamic programming principles 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 ...
Asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential He, Cheng-Jun; Xiang, Changlin (Academic Press, 2016)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 ...
Conformality and Q-harmonicity in sub-Riemannian manifolds Capogna, Luca; Citti, Giovanna; Le Donne, Enrico; Ottazzi, Alessandro (Elsevier Masson, 2019)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 ...