We provide a geometric Poincaré type formula for stable solutions of -Δp(u) = f(u). From this, we derive a symmetry result in the plane. This work is a refinement of previous results obtained by the authors under further integrability and regularity assumptions.
On a Poincaré type formula for solutions of singular and degenerate elliptic equations / A. Farina, B. Sciunzi, E. Valdinoci. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 132:3-4(2010), pp. 335-342.
On a Poincaré type formula for solutions of singular and degenerate elliptic equations
E. ValdinociPrimo
2010
Abstract
We provide a geometric Poincaré type formula for stable solutions of -Δp(u) = f(u). From this, we derive a symmetry result in the plane. This work is a refinement of previous results obtained by the authors under further integrability and regularity assumptions.
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