33 citations · 42 across the 6 of their papers we have counts for
7 papers
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 , and $N\geq…
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-…
Multiple solutions to nonlinear Schrödinger equations with singular electromagnetic potential
Mónica Clapp, Andrzej Szulkin
We consider the semilinear electromagnetic Schrödinger equation (-i\nabla+A(x))^{2}u + V(x)u = |u|^{2^{\ast}-2}u, u\in D_{A,0}^{1,2}(Ω,\mathbb{C}), where $Ω=(\mathbb{R}^{m}\smallse…
Nonexistence and multiplicity of solutions to elliptic problems with supercritical exponents
Mónica Clapp, Jorge Faya, Angela Pistoia
We consider the supercritical problem -Δu = |u|^{p-2}u in Ω, u=0 on \partialΩ, where is a bounded smooth domain in and Bahr…
Multiple solutions to the Bahri-Coron problem in some domains with nontrivial topology
Mónica Clapp, Jorge Faya
We show that in every dimension there are many bounded domains , having only finite symmetries, in which the Bahri-Coron problem \[-Δu=|u| ^{4/(N-2…
Positive and sign changing solutions to a nonlinear Choquard equation
Mónica Clapp, Dora Salazar
We consider the problem \[-Δu + W(x)u = ((1/{|x|^α} * |u|^{p}) |u|^{p-2}u, u \in H_{0}^{1}(Ω)\], where is an exterior domain in , , $p\in[2…