Necessary and sufficient conditions on the existence of solutions for the exterior dirichlet problem of hessian equations

HIGHLIGHTS

• who: Limei Dai from the School of Mathematics and University, Weifang, China have published the Article: Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations, in the Journal: (JOURNAL)

SUMMARY

In 2003, Caffarelli and Li extended the Jörgens-Calabi-Pogorelov theorem to exterior domains and also investigated the existence of solutions to the exterior Dirichlet problem ⎧ ⎨det D2 u=1, ⎩u=φ, x ∈ Rn , x ∈ ∂. Let ω0 ∈ C 0 (Rn ) be positive and radially symmetric in x, 0 and amp;lt; infn ω0 ≤ sup ω0 . . .

 



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