C1,α-regularity for variational problems in the Heisenberg group
Mukherjee, S., & Zhong, X. (2021). C1,α-regularity for variational problems in the Heisenberg group. Analysis and PDE, 14(2), 567-594. https://doi.org/10.2140/apde.2021.14.567
Julkaistu sarjassa
Analysis and PDEPäivämäärä
2021Tekijänoikeudet
© Authors, 2021
We study the regularity of minima of scalar variational integrals of p-growth, 1
<∞, in the Heisenberg group and prove the Hölder continuity of horizontal gradient of minima.
Julkaisija
Mathematical Sciences PublishersISSN Hae Julkaisufoorumista
2157-5045Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/86919991
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Lisenssi
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
Local regularity estimates for general discrete dynamic programming equations
Arroyo, Ángel; Blanc, Pablo; Parviainen, Mikko (Elsevier, 2022)We obtain an analytic proof for asymptotic Hölder estimate and Harnack's inequality for solutions to a discrete dynamic programming equation. The results also generalize to functions satisfying Pucci-type inequalities for ... -
Remarks on regularity for p-Laplacian type equations in non-divergence form
Attouchi, Amal; Ruosteenoja, Eero (Academic Press, 2018)We study a singular or degenerate equation in non-divergence form modeled on the p-Laplacian, −|Du|γ(Δu+(p−2)Δ∞ Nu)=finΩ. We investigate local C1,α regularity of viscosity solutions in the full range γ>−1 and p>1, and ... -
Regularity properties of tug-of-war games and normalized equations
Ruosteenoja, Eero (University of Jyväskylä, 2017) -
C1,α regularity for the normalized p-Poisson problem
Attouchi, Amal; Parviainen, Mikko; Ruosteenoja, Eero (Elsevier Masson, 2017)We consider the normalized p -Poisson problem − Δ N p u = f in Ω ⊂ R n . The normalized p -Laplacian Δ N p u := | Du | 2 − p Δ p u is in non-divergence form and arises for example from ... -
The fractional Calderón problem : Low regularity and stability
Rüland, Angkana; Salo, Mikko (Elsevier, 2020)The Calderón problem for the fractional Schrödinger equation was introduced in the work Ghosh et al. (to appear)which gave a global uniqueness result also in the partial data case. This article improves this result in two ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.