M. Clapp

activity

20122025

most citedNonexistence and multiplicity of solutions to elliptic problems with supercritical exponents

33 citations · 47 across the 17 of their papers we have counts for

collaborators

Showing 2013 · math.APShow all

2 papers · 2 filters

math.AP2013

A supercritical elliptic problem in a cylindrical shell

Mónica Clapp, Andrzej Szulkin

We consider the problem \[ -Δu=|u|^{p-2}u in Ω, u=0 on \partialΩ, \] where $Ω := {(y, z) \in R^{m + 1} \times R^{N - m - 1} : 0 < a < ∣ y ∣ < b < \infty}$ , $0 \leq m \leq N - 1$ and $N\geq…

math.AP2013

Multiplicity and asymptotic profile of 2-nodal solutions to a semilinear elliptic problem on a Riemannian manifold

Mónica Clapp, Anna Maria Micheletti

We establish a lower bound for the number of sign changing solutions with precisely two nodal domains to the singularly perturbed nonlinear elliptic equation -ε^{2}Δ_{g}u+u=|u|^{p-…