Zobrazeno 1 - 10
of 180
pro vyhledávání: '"Musina Roberta"'
Autor:
Musina, Roberta, Nazarov, Alexander I.
We continue our investigation of Hardy-type inequalities involving combinations of cylindrical and spherical weights. Compared to [Cora-Musina-Nazarov, Ann. Sc. Norm. Sup., 2024], where the quasi-spherical case was considered, we handle the full rang
Externí odkaz:
http://arxiv.org/abs/2411.08585
Autor:
Carioli Andrea, Musina Roberta
Publikováno v:
Advanced Nonlinear Studies, Vol 17, Iss 3, Pp 517-526 (2017)
We deal with very weak positive supersolutions to the Hénon–Lane–Emden system on neighborhoods of the origin. In our main theorem we prove a sharp nonexistence result.
Externí odkaz:
https://doaj.org/article/63f48730cf9a402c9eb1d718cfbc6431
Autor:
Cora, Gabriele, Musina, Roberta
We investigate the existence of closed planar loops with prescribed curvature. Our approach is variational, and relies on a Hardy type inequality and its associated functional space.
Comment: 20 pages; minor improvements and corrected typos
Comment: 20 pages; minor improvements and corrected typos
Externí odkaz:
http://arxiv.org/abs/2309.06974
We study Hardy type inequalities involving mixed cylindrical and spherical weights, for functions supported in cones. These inequalities are related to some singular or degenerate differential operators.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/2305.05034
Autor:
Musina, Roberta, Nazarov, Alexander I.
We relate non integer powers ${\mathcal L}^{s}$, $s>0$ of a given (unbounded) positive self-adjoint operator $\mathcal L$ in a real separable Hilbert space $\mathcal H$ with a certain differential operator of order $2\lceil{s}\rceil$, acting on even
Externí odkaz:
http://arxiv.org/abs/2208.06873
Autor:
Musina, Roberta, Nazarov, Alexander I.
Publikováno v:
In Journal of Functional Analysis 15 July 2024 287(2)
Autor:
Cora, Gabriele, Musina, Roberta
We provide a detailed description of the relationships between the fractional Laplacian of order $2s\in(0,n)$ on $\mathbb{R}^n$ and the $\textit{$s$-polyharmonic}$ extension operator to the upper half space $\mathbb{R}^{n+1}_+$.
Comment: 32 page
Comment: 32 page
Externí odkaz:
http://arxiv.org/abs/2106.11669
Autor:
Musina, Roberta, Nazarov, Alexander I.
We establish some qualitative properties of minimizers in the fractional Hardy--Sobolev inequalities of arbitrary order.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/2009.11766
Autor:
Musina, Roberta, Nazarov, Alexander I.
We study linear and non-linear equations related to the fractional Hardy--Sobolev inequality. We prove nondegeneracy of ground state solutions to the basic equation and investigate existence and qualitative properties, including symmetry of solutions
Externí odkaz:
http://arxiv.org/abs/2008.11186
Autor:
Musina Roberta, Fall MouhamedMoustapha
Publikováno v:
Journal of Inequalities and Applications, Vol 2011, Iss 1, p 917201 (2011)
We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights. We prove sharp nonexistence results.
Externí odkaz:
https://doaj.org/article/8031b3e5940d47019631878e44f98c4e