M. Montenegro

activity

20072013

most citedSolutions to the nonlinear Schroedinger equation carrying momentum along a curve. Part I: study of the limit set and approximate solutions

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2013

Existence and symmetry for elliptic equations in R^n with arbitrary growth in the gradient

Lucas C. F. Ferreira, Marcelo Montenegro, Matheus C. Santos

We study the semilinear elliptic equation $Δ u + g (x, u, D u) = 0$ in $R^{n}$ . The nonlinearities $g$ can have arbitrary growth in $u$ and $D u$ , including in particular the exponential…

math.AP2008

Stable solutions for the bilaplacian with exponential nonlinearity

Juan Davila, Louis Dupaigne, Ignacio Guerra +1

Let $λ^{*} > 0$ denote the largest possible value of $λ$ such that \begin{align*} \left\{\begin{aligned} Δ^2 u & = \la e^u && \text{in $B$ } u &= \pd{u}{n} = 0 && \text{on $ \pa B $} \…

math.AP2008

Perturbing singular solutions of the Gelfand problem

Juan Davila, Louis Dupaigne, Ignacio Guerra +1

he equation $- Δ u = λ e^{u}$ posed in the unit ball $B \subseteq R^{N}$ , with homogeneous Dirichlet condition $u ∣_{\partial B} = 0$ , has the singular solution $U = lo g \frac{1}{∣ x ∣ ^{2}}$ when…

math.AP2007★ 2 cited

Solutions to the nonlinear Schroedinger equation carrying momentum along a curve. Part I: study of the limit set and approximate solutions

Fethi Mahmoudi, Andrea Malchiodi, Marcelo Montenegro

We prove existence of a special class of solutions to the (elliptic) Nonlinear Schroeodinger Equation $- ε^{2} Δ ψ + V (x) ψ = ∣ ψ ∣^{p - 1} ψ$ , on a manifold or in the Euclidean space. Here…