M. Clapp

activity

20122022

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

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Showing 2012Show all

5 papers · 1 filter

math.AP2012

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…

math.AP2012★ 33 cited

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 $Ω$ is a bounded smooth domain in $R^{N},$ $N \geq 3,$ and $p \geq 2^{*} := 2 N / (N - 2) .$ Bahr…

math.AP2012

Multiple solutions to the Bahri-Coron problem in some domains with nontrivial topology

Mónica Clapp, Jorge Faya

We show that in every dimension $N \geq 3$ there are many bounded domains $Ω \subset R^{N}$ , having only finite symmetries, in which the Bahri-Coron problem \[-Δu=|u| ^{4/(N-2…

math.AP2012

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 $Ω$ is an exterior domain in $R^{N}$ , $N \geq 3,$ $α \in (0, N)$ , $p\in[2…

math.AP2012★ 9 cited

Alternating sign multibump solutions of nonlinear elliptic equations in expanding tubular domains

Nils Ackermann, Monica Clapp, Filomena Pacella

Let $Γ$ denote a smooth simple curve in $R^{N}$ , $N \geq 2$ , possibly with boundary. Let $Ω_{R}$ be the open normal tubular neighborhood of radius 1 of the expanded curve $R…