Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Jasun Gong"'
Autor:
Sylvester Eriksson‐Bique, Jasun Gong
Publikováno v:
Transactions of the London Mathematical Society, Vol 8, Iss 1, Pp 243-298 (2021)
Abstract Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure. Most importantly, despite the explicit constructions in our
Externí odkaz:
https://doaj.org/article/bf63199f57f14519808ea074d1186e99
Autor:
Sylvester Eriksson-Bique, Jasun Gong
In this paper we construct a large family of examples of subsets of Euclidean space that support a 1-Poincaré inequality yet have empty interior. These examples are formed from an iterative process that involves removing well-behaved domains, or mor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e46b7723dd609bfa2d3797248ae2e018
http://urn.fi/urn:nbn:fi-fe2023050340524
http://urn.fi/urn:nbn:fi-fe2023050340524
Publikováno v:
Memoirs of the American Mathematical Society. 275
In this article we study two classical potential-theoretic problems in convex geometry corresponding to a nonlinear capacity, $\mbox{Cap}_{\mathcal{A}}$, where $\mathcal{A}$-capacity is associated with a nonlinear elliptic PDE whose structure is mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20573f1f18157f13fdde1868f8946e0a
https://doi.org/10.1090/memo/1348
https://doi.org/10.1090/memo/1348
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 44:635-655
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e4ebe023ccec08fb74fa2748e48b90b
https://doi.org/10.5186/aasfm.2019.4460
https://doi.org/10.5186/aasfm.2019.4460
Autor:
Jasun Gong, Sylvester Eriksson-Bique
Publikováno v:
Transactions of the London Mathematical Society, Vol 8, Iss 1, Pp 243-298 (2021)
Here we show existence of numerous subsets of Euclidean and metric spaces that, despite having empty interior, still support Poincar\'e inequalities. Most importantly, our methods do not depend on any rectilinear or self-similar structure of the unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b62794c6c234a0604ddb15130f0b6e7
http://arxiv.org/abs/1910.02236
http://arxiv.org/abs/1910.02236
Autor:
Piotr Hajłasz, Jasun Gong
Publikováno v:
Potential Analysis. 38:79-93
We study p-harmonic functions on metric measure spaces, which are formulated as minimizers to certain energy functionals. For spaces supporting a p-Poincare inequality, we show that such functions satisfy an infinitesmal Lipschitz condition almost ev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d6c49ee411bde73e1d6161b962783a2
https://doi.org/10.1007/s11118-011-9264-7
https://doi.org/10.1007/s11118-011-9264-7
Publikováno v:
Manuscripta Mathematica. 137:247-271
We show that quasi-minimizers of non-homogeneous energy functionals on metric measure spaces are locally H\"older continuous and satisfy the Harnack inequality. We assume that the spaces are doubling and support a Poincar\'e inequality. The proof is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3cb76683e918a50dd17ad65e81f26f1
https://doi.org/10.1007/s00229-011-0489-y
https://doi.org/10.1007/s00229-011-0489-y
Autor:
Thomas Bieske, Jasun Gong
Publikováno v:
Proceedings of the American Mathematical Society. 134:3585-3594
We find the fundamental solution to the P P -Laplace equation in Grushin-type spaces. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding the fundamental solution of a generalized Grushin operator in Euclidean
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b1678d6e917677411450422acf07d17
https://doi.org/10.1090/s0002-9939-06-08394-8
https://doi.org/10.1090/s0002-9939-06-08394-8
Autor:
Jasun Gong
Publikováno v:
Illinois J. Math. 56, no. 4 (2012), 1109-1147
Following Weaver we study generalized differential operators, called (metric) derivations, and their linear algebraic properties. In particular, for k = 1, 2 we show that measures on k-dimensional Euclidean space that induce rank-k modules of derivat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e188b8b0cdac500cdf586eb708f3774a
https://doi.org/10.1215/ijm/1399395825
https://doi.org/10.1215/ijm/1399395825