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Phragmén–Lindelöf type theorem for m -hessian equations

Author:
N. V. Filimonenkova  


Journal:
Journal of Mathematical Sciences


Issue Date:
2009


Abstract(summary):

We derive an interior estimate for the gradient of a solution u to the m-Hessian equation with a certain right-hand side. The estimate depends on the oscillation of u and properties of the right-hand side of the equation. The proof is based on a modification of some ideas of Trudinger (1997). As a consequence of the main result, a theorem of Fragm茅n–Lindel枚f type is obtained for solutions to the m-Hessian equations in the entire space \mathbbRn \mathbb{R}^n . Bibliography: 4 titles.


Page:
948-957


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