33 citations · 47 across the 17 of their papers we have counts for
5 papers · 1 filter
Phase separation, optimal partitions, and nodal solutions to the Yamabe equation on the sphere
Mónica Clapp, Alberto Saldaña, Andrzej Szulkin
We study an optimal M-partition problem for the Yamabe equation on the round sphere, in the presence of some particular symmetries. We show that there is a correspondence between s…
An upper bound for the least energy of a nodal solution to the Yamabe equation on the sphere
Mónica Clapp, Angela Pistoia, Tobias Weth
For each we establish the existence of a nodal solution to the Yamabe problem on the round sphere which satisfies $$\int_{\mathbb{S}^n}|u|^{2^*}dV_…
Existence of nonradial positive and nodal solutions to a critical Neumann problem in a cone
Mónica Clapp, Filomena Pacella
We study the critical Neumann problem \begin{equation*} \begin{cases} -Δu = |u|^{2^*-2}u &\text{in }Σ_ω,\\ \quad\frac{\partial u}{\partialν}=0 &\text{on }\partialΣ_ω, \end{cases} \…
Entire nodal solutions to the critical Lane-Emden system
Mónica Clapp, Alberto Saldaña
We establish the existence of finitely many sign-changing solutions to the Lane-Emden system whe…
A simple variational approach to weakly coupled competitive elliptic systems
Mónica Clapp, Andrzej Szulkin
The main purpose of this paper is to exhibit a simple variational setting for finding fully nontrivial solutions to the weakly coupled elliptic system (1.1). We show that such solu…