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RESEARCH PRODUCT
On the Symmetry of Solutions to a k-Hessian Type Equation
Barbara Brandolinisubject
Hessian matrixGeneral Mathematics010102 general mathematicsCharacteristic equationStatistical and Nonlinear Physics01 natural sciencesSymmetry (physics)010101 applied mathematicsExplicit symmetry breakingType equationsymbols.namesakeSymmetrySettore MAT/05 - Analisi Matematicasymbols0101 mathematicsHessian equationsMathematical physicsMathematicsdescription
Abstract In this note we prove that if u is a negative solution to a nonlinear elliptic equation involving a Hessian operator, and u is zero on the boundary of a ball, then u is radially symmetric and increasing along the radii.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-05-01 |