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Masiello, Alba Lia; Paoli, Gloria
Journal of optimization theory and applications, 05/2024Journal Article
Abstract Let $$\Omega \subset \mathbb {R}^n$$ Ω ⊂ R n be an open, bounded and Lipschitz set. We consider the Poisson problem for the p -Laplace operator associated to $$\Omega $$ Ω with Robin boundary conditions. In this setting, we study the equality case in the Talenti-type comparison: we prove that the equality is achieved only if $$\Omega $$ Ω is a ball and both the solution u and the right-hand side f of the Poisson equation are radial and decreasing.
