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Start Over Topic 0103 physical sciences Publication Year Range Last 3 years Journal asymptotic analysis

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1. Boundary behavior of large solutions to a class of Hessian equations

Author

Ling Mi and Chuan Chen

Subjects
Hessian equation, Class (set theory), General Mathematics, 010102 general mathematics, 0103 physical sciences, Boundary (topology), Applied mathematics, 010307 mathematical physics, 0101 mathematics, 01 natural sciences, Mathematics
Abstract

In this paper, we consider the m-Hessian equation S m [ D 2 u ] = b ( x ) f ( u ) > 0 in Ω, subject to the singular boundary condition u = ∞ on ∂ Ω. We give estimates of the asymptotic behavior of such solutions near ∂ Ω when the nonlinear term f satisfies a new structure condition.

Published
2021