Abstract
AbstractIn this paper, we consider the exterior Dirichlet problem of Hessian equations $\sigma _{k}(\lambda (D^{2}u))=g(x)$
σ
k
(
λ
(
D
2
u
)
)
=
g
(
x
)
with g being a perturbation of a general positive function at infinity. By estimating the eigenvalues of the solution, we obtain the necessary and sufficient conditions of existence of radial symmetric solutions with asymptotic behavior at infinity.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shandong Province
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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