3 papers
math.AP2017
Rabinowitz alternative for non-cooperative elliptic systems on geodesic balls
Sławomir Rybicki, Naoki Shioji, Piotr Stefaniak
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^…
math.AP2015
Nonlocal problems at critical growth in contractible domains
Sunra Mosconi, Naoki Shioji, Marco Squassina
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 suitab…
math.AP2013
Symmetry of n-mode positive solutions for two-dimensional Hénon type systems
Naoki Shioji, Marco Squassina
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…