We study the conformal deformation for prescribing scalar curvature function on Cartan-Hadamard manifold M^n(n≥3) with strongly negative curvature. By employing the super- subsolution method and a careful constructi...We study the conformal deformation for prescribing scalar curvature function on Cartan-Hadamard manifold M^n(n≥3) with strongly negative curvature. By employing the super- subsolution method and a careful construction for the supersolution, we obtain the best possible asymptotic behavior for near infinity so that the problem of complete conformal deformation is solvable. In more general cases, we prove an asymptotic estimation on the solutions of the conformal scalar curvature equation.展开更多
This paper investigates 2-dimensional singular,quasilinear elliptic equations and gives some suffcient conditions ensuring the equations have infinitely many positive entire solutions. The super-subsolution method is ...This paper investigates 2-dimensional singular,quasilinear elliptic equations and gives some suffcient conditions ensuring the equations have infinitely many positive entire solutions. The super-subsolution method is used to prove the existence of such solutions.展开更多
基金Project partially supported by the NNSF of China
文摘We study the conformal deformation for prescribing scalar curvature function on Cartan-Hadamard manifold M^n(n≥3) with strongly negative curvature. By employing the super- subsolution method and a careful construction for the supersolution, we obtain the best possible asymptotic behavior for near infinity so that the problem of complete conformal deformation is solvable. In more general cases, we prove an asymptotic estimation on the solutions of the conformal scalar curvature equation.
文摘This paper investigates 2-dimensional singular,quasilinear elliptic equations and gives some suffcient conditions ensuring the equations have infinitely many positive entire solutions. The super-subsolution method is used to prove the existence of such solutions.
