Open AccessLogarithmic convexity of the eigenfunction of the Hessian operator in the ball
Author(s) -
YunHua Ye
Publication year - 2015
Publication title -
international journal of advanced mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2307-454X
DOI - 10.14419/ijams.v3i2.4979
Subject(s) - eigenfunction , hessian matrix , convexity , logarithm , hessian equation , mathematics , ball (mathematics) , operator (biology) , mathematical analysis , regular polygon , pure mathematics , eigenvalues and eigenvectors , physics , geometry , partial differential equation , chemistry , repressor , quantum mechanics , transcription factor , financial economics , first order partial differential equation , economics , gene , biochemistry
This paper is concerned with the logarithmic convexity of the eigenfunction of the Hessian operator. It is proved that the logarithm of the eigenfunction of the Hessian operator is strictly convex in the ball.