Logarithmic convexity of the eigenfunction of the Hessian operator in the ball

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    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.


  • Keywords


    Eigenfunction; Hessian Operator; Logarithmic Convexity; Strict Convexity.

  • References


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      [6] R. C. Reilly, On the Hessian of a function and the curvatures of its graph, Michigan Math.J., No.20,(1973), pp.373--383.


 

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Article ID: 4979
 
DOI: 10.14419/ijams.v3i2.4979




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