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math.DG2025
Sign-changing solutions to the Yamabe problem on manifolds with boundary
Mónica Clapp, Benedetta Pellacci, Angela Pistoia
Let be a compact Riemannian manifold with boundary. The Yamabe problem concerning the existence of a metric conformally equivalent to having constant scalar curvature…
math.AP2025
Multiple nodal solutions to a scalar field equation with double-power nonlinearity and zero mass at infinity
Mónica Clapp, Carlos Culebro
We consider the nonlinear elliptic equation \begin{equation*} -Δu + V(x)u = f(u), \qquad u\in D^{1,2}_0(Ω), \end{equation*} in an exterior domain of , where i…
math.AP2025
Entire solutions to a quasilinear purely critical competitive system
Mónica Clapp, Víctor A. Vicente-Benítez
We establish the existence of a fully nontrivial solution with nonnegative components for a weakly coupled competitive system for the -Laplacian in whose nonlinea…