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simmetry and monotonicity

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential
Part of
- Partial differential equations
Giusy Chirillo, Luigi Montoro, Luigi Muglia, Berardino Sciunzi
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 6 / December 2023

Published online by Cambridge University Press:

09 December 2022, pp. 1858-1882

Print publication:

December 2023
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We consider positive solutions to a class of quasilinear elliptic problems involving the Hardy potential under zero Dirichlet boundary condition. Via moving plane method, proving a weak comparison principle, we prove symmetry and monotonicity properties for the solutions defined on strictly convex symmetric domains.