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math.AP2026
Sign-changing solutions to the Yamabe problem on a spherical cap
Mónica Clapp, Benedetta Pellacci, Angela Pistoia
Spherical caps play a crucial role in establishing a criterion for the existence of solutions to the Yamabe problem on a compact Riemannian manifold with boundary, similar to the r…
math.AP2026
Sublinear elliptic equations with a sharp change of sign in the nonlinearity
Mónica Clapp, Alberto Saldaña, Delia Schiera
We study the semilinear indefinite elliptic problem \[ -Δu = Q_Ω|u|^{p-2}u \quad \text{in } \mathbb{R}^N, \] where , …