Boundary asymptotical behavior of large solutions to complex Hessian equations

Ni, Xiang

doi:10.1016/j.na.2010.08.027

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2015

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“…Subsequently, the results have been extended by many authors and in many contexts, see, for instance, [12,13,18,20,22,24,29,34,35,37,39,41,[44][45][46] and the references therein.…”

Section: Introduction and The Main Resultsmentioning

confidence: 99%

Boundary behavior of large solutions to the Monge–Ampère equations with weights

Zhang

2015

Journal of Differential Equations

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This paper is concerned with the Monge-Ampère equation detwhere is a strictly convex, bounded smooth domain in R N with N ≥ 2, and b ∈ C ∞ (¯ ) which is positive in , but may be vanishing on the boundary. We find a new structure condition on f which plays a crucial role in the boundary behavior of strictly convex large solutions. Our results are obtained in a more general setting than those in Cîrstea and Trombetti (2008) [12], where f is regularly varying at infinity with index p > N.

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“…Subsequently, the results have been extended by many authors and in many contexts, see, for instance, [12,13,18,20,22,24,29,34,35,37,39,41,[44][45][46] and the references therein.…”

Section: Introduction and The Main Resultsmentioning

confidence: 99%

Boundary behavior of large solutions to the Monge–Ampère equations with weights

Zhang

2015

Journal of Differential Equations

View full text Add to dashboard Cite

show abstract

Boundary asymptotical behavior of large solutions to complex Hessian equations

Cited by 1 publication

References 14 publications

Boundary behavior of large solutions to the Monge–Ampère equations with weights

Boundary behavior of large solutions to the Monge–Ampère equations with weights

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