Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Mirco Piccinini"'
Autor:
Giampiero Palatucci, Mirco Piccinini
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 14, Iss 2, Pp 163-200 (2024)
We deal with a wide class of nonlinear nonlocal equations led by integro-differential operators of order (s,p), with summability exponent p in (1,∞) and differentiability order s in (0,1), whose prototype is the fractional subLaplacian in the Heise
Externí odkaz:
https://doaj.org/article/8f606625fbe44c40a612ffb7071411f7
Autor:
Mirco Piccinini
Publikováno v:
Mathematics in Engineering, Vol 6, Iss 1, Pp 1-27 (2024)
Local minimizers of nonhomogeneous quasiconvex variational integrals with standard $ p $-growth of the type $ w\mapsto \int \left[F(Dw)-f\cdot w\right]{\,{{\rm{d}}}x} $ feature almost everywhere $ \mbox{BMO} $-regular gradient provided that $ f
Externí odkaz:
https://doaj.org/article/3deff225ecc54c579b7731901f8f58be
We extend the celebrate De Giorgi-Nash-Moser theory to a wide class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional $p$-Laplacian operator on the Heisenberg-Weyl group $\ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::754336a7597b68cc746be669113752c4
https://link.springer.com/article/10.1007/s12220-022-01124-6
https://link.springer.com/article/10.1007/s12220-022-01124-6
Autor:
Mirco Piccinini
We study the obstacle problem related to a wide class of nonlinear integro-differential operators, whose model is the fractional subLaplacian in the Heisenberg group. We prove both the existence and uniqueness of the solution, and that solutions inhe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de3e69773b7d3d269bddb16ffc862310
http://arxiv.org/abs/2207.03743
http://arxiv.org/abs/2207.03743
Autor:
Giampiero Palatucci, Mirco Piccinini
We deal with a wide class of nonlinear integro-differential problems in the Heisenberg-Weyl group $\mathbb{H}^n$, whose prototype is the Dirichlet problem for the $p$-fractional subLaplace equation. These problems arise in many different contexts in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9a23079bb01622a9a0e30372326bf4f
Autor:
Cristiana De Filippis, Mirco Piccinini
We establish sharp global regularity results for solutions to nonhomogeneous, nonuniformly elliptic systems with zero boundary conditions imposed only on some part of the boundary of convex domains. In particular, we obtain everywhere Lipschitz conti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaa37e5aada4657d3a4c7bfc0c95a8f5