Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane (Q923820)
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scientific article; zbMATH DE number 4171482
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane |
scientific article; zbMATH DE number 4171482 |
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Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane (English)
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1989
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Estimates are given for the length of level curves of solutions of certain quasilinear elliptic PDE's in plane annuli. The equations are of the type \(div(a(| \nabla u|)\nabla u)=0\), and they include the p- Laplace and the nonparametric minimal surface equation. The annuli are of general type with no convexity or star shapedness requirements.
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isoperimetric inequalities
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length of level curves
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minimal surface equation
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