Due to the dissipative structure of regularity-loss,extra higher regularity than that for the global-in-time existence is usually imposed to obtain the opti
We use a Pohozaev-type identity and monotone separation techniques to prove the uniqueness of negative radial solutions of $k$-Hessian equations in a finite
We study the polyharmonic problem Delta^m u=pm e^u in R^{2m},with m geq 2.In particular,we prove that for any V>0,there exists radial solutions of Delta