208 citations · 329 across the 37 of their papers we have counts for
45 papers
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…
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…
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…
Configuration spaces and multiple positive solutions to a singularly perturbed elliptic system
Mónica Clapp, Alberto Saldaña, Andrzej Szulkin
We consider a weakly coupled singularly perturbed variational elliptic system in a bounded smooth domain with Dirichlet boundary conditions. We show that, in the competitive regime…
Exponential decay of the solutions to nonlinear Schrödinger systems
Felipe Angeles, Mónica Clapp, Alberto Saldaña
We show that the components of finite energy solutions to general nonlinear Schrödinger systems have exponential decay at infinity. Our results apply to positive or sign-changing c…
Pinwheel solutions to Schrödinger systems
Mónica Clapp, Angela Pistoia
We establish the existence of positive segregated solutions for competitive nonlinear Schrödinger systems in the presence of an external trapping potential, which have the property…