Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Shioji, Naoki"'
The uniqueness and multiple existence of positive radial solutions to the Brezis-Nirenberg problem on a domain in the 3-dimensional unit sphere ${\mathbb S}^3$ \begin{equation*} \left\{ \begin{aligned} \Delta_{{\mathbb S}^3}U -\lambda U + U^p&=0,\, U
Externí odkaz:
http://arxiv.org/abs/2412.15680
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 September 2022 513(1)
The purpose of this paper is to study properties of continua (closed connected sets) of nontrivial solutions of non-cooperative elliptic systems considered on geodesic balls in $S^n$. In particular, we have shown that if the geodesic ball is a hemisp
Externí odkaz:
http://arxiv.org/abs/1703.08417
Publikováno v:
In Journal of Differential Equations 25 May 2021 284:522-545
Autor:
Shioji, Naoki, Watanabe, Kohtaro
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2021 497(2)
We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/1504.00551
We prove that the critical problem for the fractional Laplacian in an annular type domain admits a nontrivial solution provided that the inner hole is sufficiently small.
Comment: 10 pages, revised version
Comment: 10 pages, revised version
Externí odkaz:
http://arxiv.org/abs/1401.5967
Autor:
Shioji, Naoki, Squassina, Marco
We provide a symmetry result for n-mode positive solutions of a general class of semi-linear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of H\'enon systems and provide the existence of
Externí odkaz:
http://arxiv.org/abs/1301.7445
Autor:
Shioji, Naoki
Publikováno v:
The American Mathematical Monthly, 2018 Oct 01. 125(8), 733-738.
Externí odkaz:
https://www.jstor.org/stable/48661884
Autor:
Hirano, Norimichi, Shioji, Naoki
Publikováno v:
Proceedings of the American Mathematical Society, 2006 Sep 01. 134(9), 2585-2592.
Externí odkaz:
https://www.jstor.org/stable/4098106