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Necessary and sufficient conditions on the existence of solutions for the exterior Dirichlet problem of Hessian equations

Abstract In this paper, we consider the exterior Dirichlet problem of Hessian equations σ k ( λ ( D 2 u ) ) = g ( x ) $\sigma _{k}(\lambda (D^{2}u))=g(x)$ with g being a perturbation of a general positive function at infinity. By estimating the eigenvalues of the solution, we obtain the necessary an...

Whakaahuatanga katoa

I tiakina i:
Ngā taipitopito rārangi puna kōrero
Ngā kaituhi matua: Limei Dai, Hongfei Li
Hōputu: Artigo
Reo:Inglês
I whakaputaina: SpringerOpen 2022-06-01
Rangatū:Boundary Value Problems
Ngā marau:
Urunga tuihono:https://doi.org/10.1186/s13661-022-01619-9
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