We study the existence of positive solutions to a two-order semilineav elliptic problem with Dirichlet boundary condition（Pλ）{-div（c（x）△u=λf（u）inΩ,u=0 on ЭΩ where ΩCR n 〉 2 is a smooth bounded domain; ...We study the existence of positive solutions to a two-order semilineav elliptic problem with Dirichlet boundary condition（Pλ）{-div（c（x）△u=λf（u）inΩ,u=0 on ЭΩ where ΩCR n 〉 2 is a smooth bounded domain; f is a positive, increasing and convex source term and c（x） is a smooth bounded positive function on Ω, We also prove the existence of critical value and claim the uniqueness of extremal solutions.展开更多
The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition ...The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition method.展开更多
文摘We study the existence of positive solutions to a two-order semilineav elliptic problem with Dirichlet boundary condition（Pλ）{-div（c（x）△u=λf（u）inΩ,u=0 on ЭΩ where ΩCR n 〉 2 is a smooth bounded domain; f is a positive, increasing and convex source term and c（x） is a smooth bounded positive function on Ω, We also prove the existence of critical value and claim the uniqueness of extremal solutions.
文摘The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition method.
