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arXiv · 1206.1474

Some remarks on sign changing solutions of a quasilinear elliptic equation in two variables

Seppo Granlund·Niko Marola
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Abstract

We consider planar solutions to certain quasilinear elliptic equations subject to the Dirichlet boundary conditions; the boundary data is assumed to have finite number of relative maximum and minimum values. We are interested in certain vanishing properties of sign changing solutions to such a Dirichlet problem. Our method is applicable in the plane.

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Seppo Granlund, Niko Marola. 2012-09-14. Some remarks on sign changing solutions of a quasilinear elliptic equation in two variables. https://arxiv.org/abs/1206.1474

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