Symmetry and monotonicity of singular solutions to $p$-Laplacian systems involving a first order term

Stefano Biagi; Francesco Esposito; Luigi Montoro; Eugenio Vecchi

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arXiv · 2203.16242

Symmetry and monotonicity of singular solutions to $p$-Laplacian systems involving a first order term

Stefano Biagi·Francesco Esposito·Luigi Montoro·Eugenio Vecchi

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Abstract

We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by $p$-Laplacian operators and with the additional presence of a nonlinear first order term. By a careful use of a rather new version of the moving plane method, we prove the symmetry of the solutions. The result is already new in the scalar case.

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Stefano Biagi, Francesco Esposito, Luigi Montoro, Eugenio Vecchi. 2022-03-30. Symmetry and monotonicity of singular solutions to $p$-Laplacian systems involving a first order term. https://arxiv.org/abs/2203.16242

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