We investigate the radial symmetry of minimizers on the Pohozaev-Nehari manifold to the Schrodinger Poisson equation with a general nonlinearity f(u).Particularly,we allow that f is L^(2) supercritical.The main result...We investigate the radial symmetry of minimizers on the Pohozaev-Nehari manifold to the Schrodinger Poisson equation with a general nonlinearity f(u).Particularly,we allow that f is L^(2) supercritical.The main result shows that minimizers are radially symmetric modulo suitable translations.展开更多
1.Introduction Electronic sports(Esports),viewed as competitive and organized video gaming,1 are becoming accepted as a form of sports.2-4 Many digital video games associated with Esports are played through various pl...1.Introduction Electronic sports(Esports),viewed as competitive and organized video gaming,1 are becoming accepted as a form of sports.2-4 Many digital video games associated with Esports are played through various platforms(e.g.,computers,consoles,mobile,streaming,or virtual reality)5 and involve either simulating competitive sports(motion-based)or combative(actionbased)activities.2 Esports have been around for more than 20 years1 and continue to thrive economically as a highly profitable gaming industry.2,6 Thanks to the advances in digital media and online game-streaming or cloud gaming technologies,there has been a rapid increase,on a global scale,in the popularity of Esports worldwide,6 evidenced by the exponential growth in participation,media coverage,viewership,sponsorship,and commercialization.展开更多
基金supported by the NSFC(12031015)Song's research was supported by the Shuimu Tsinghua Scholar Program,the National Funded Postdoctoral Research Program(GZB20230368)the China Postdoctoral Science Foundation(2024T170452)。
文摘We investigate the radial symmetry of minimizers on the Pohozaev-Nehari manifold to the Schrodinger Poisson equation with a general nonlinearity f(u).Particularly,we allow that f is L^(2) supercritical.The main result shows that minimizers are radially symmetric modulo suitable translations.
文摘1.Introduction Electronic sports(Esports),viewed as competitive and organized video gaming,1 are becoming accepted as a form of sports.2-4 Many digital video games associated with Esports are played through various platforms(e.g.,computers,consoles,mobile,streaming,or virtual reality)5 and involve either simulating competitive sports(motion-based)or combative(actionbased)activities.2 Esports have been around for more than 20 years1 and continue to thrive economically as a highly profitable gaming industry.2,6 Thanks to the advances in digital media and online game-streaming or cloud gaming technologies,there has been a rapid increase,on a global scale,in the popularity of Esports worldwide,6 evidenced by the exponential growth in participation,media coverage,viewership,sponsorship,and commercialization.
