A priori estimates for a critical Schrodinger-Newton equation

Electronic Journal of Differential Equations

关键词: Elliptic equation;    critical exponent;    a priori estimates;    Schrodinger-Newton;   

DOI  :  

来源: DOAJ

【 摘 要 】

Under natural energy and decay assumptions, we derive a prioriestimates for solutions of a Schrodinger-Newton type of equationwith critical exponent. On the one hand, such an equation generalizesthe traditional Schrodinger-Newton and Choquard equations;while, on the other hand, it is naturally related to problemsinvolving scalar curvature and conformal deformation of metrics.

【 授权许可】

Unknown