摘要
In this paper, we study the existence of solutions for the following superlinear elliptic equation with nonlinear boundary value condition{-△u+u=|u|^r-2u in Ω,■u/■v=|u|^q-2u on ■Ω, where Ω■R^N, N≥3 is a bounded domain with smooth boundary. We will prove the existence results for the above equation under four different cases:(i) Both q and r are subcritical;(ii) r is critical and q is subcritical;(iii) r is subcritical and q is critical;(iv) Both q and r are critical.
In this paper, we study the existence of solutions for the following superlinear elliptic equation with nonlinear boundary value condition■ where Ω ? R^N, N ≥ 3 is a bounded domain with smooth boundary. We will prove the existence results for the above equation under four different cases:(i) Both q and r are subcritical;(ii) r is critical and q is subcritical;(iii) r is subcritical and q is critical;(iv) Both q and r are critical.
基金
Supported by NSFC(Grant Nos.11771300 and 11726634)