Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Musina, Roberta"'
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, Nazarov, Alexander I.
We prove some basic inequalities relating the Gagliardo-Nirenberg seminorms of a symmetric function $u$ on $\mathbb R^n$ and of its perturbation $u\varphi_\mu$, where $\varphi_\mu$ is a suitably chosen eigenfunction of the Laplace-Beltrami operator o
Externí odkaz:
http://arxiv.org/abs/1907.09182
Autor:
Musina, Roberta, Nazarov, Alexander I.
We prove some weighted $L_p$ estimates for generalized harmonic extensions in the half-space.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/1903.02649
Autor:
Musina, Roberta, Zuddas, Fabio
In this paper we adopt an alternative, analytical approach to Arnol'd problem \cite{A1} about the existence of closed and embedded $K$-magnetic geodesics in the round $2$-sphere $\mathbb S^2$, where $K: \mathbb S^2 \rightarrow \mathbb R$ is a smooth
Externí odkaz:
http://arxiv.org/abs/1811.04367