One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane

Giuseppe Riey; Berardino Sciunzi

doi:10.3934/cpaa.2012.11.1157

Article Contents

2012, Volume 11, Issue 3: 1157-1166. Doi: 10.3934/cpaa.2012.11.1157

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One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane

Giuseppe Riey^1, and
Berardino Sciunzi^2,

1.
Dipartimento di Matematica, Università della Calabria, Ponte P. Bucci 31B, 87036 Arcavacata di Rende, Cosenza
2.
Dipartimento di Matematica, Universitá della Calabria, V. P. Bucci, I-87036 Arcavacata di Rende (CS)

Received: December 2010

Revised: March 2011

Published: May 2012

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Abstract

We prove one-dimensional symmetry of monotone solutions for some anisotropic quasilinear elliptic equations in the plane.

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Mathematics Subject Classification: 35J70, 35J60, 35B05, 35B09, 35B50.

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References

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