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.
Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term
Biagi, Stefano;
2024-01-01
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.File in questo prodotto:
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S. Biagi, F. Esposito, L. Montoro, E. Vecchi - Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term.pdf
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