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Publications Influence

Large energy entire solutions for the yamabe equation

- M. A. Pino, Monica Musso, F. Pacard, A. Pistoia
- Mathematics
- 1 November 2011

Abstract We consider the Yamabe equation Δ u + n ( n − 2 ) 4 | u | 4 n − 2 u = 0 in R n , n ⩾ 3 . Let k ⩾ 1 and ξ j k = ( e 2 j π i k , 0 ) ∈ R n = C × R n − 2 . For all large k we find a solution of… Expand

73 11- PDF

Concentration on curves for nonlinear Schrödinger Equations

- M. A. Pino, M. Kowalczyk, J. Wei
- Mathematics
- 2007

We consider the problem
where p > 1, e > 0 is a small parameter, and V is a uniformly positive, smooth potential. Let Γ be a closed curve, nondegenerate geodesic relative to the… Expand

148 10- PDF

Variational reduction for Ginzburg–Landau vortices

- M. A. Pino, M. Kowalczyk, Monica Musso
- Mathematics
- 15 October 2006

Let Ω be a bounded domain with smooth boundary in R2. We construct non-constant solutions to the complex-valued Ginzburg–Landau equation e2Δu+(1−|u|2)u=0 in Ω, as e→0, both under zero Neumann and… Expand

34 7- PDF

Trans-Pacific range extension by rafting is inferred for the flat oyster Ostrea chilensis.

- D. O. Foighil, B. Marshall, T. J. Hilbish, M. A. Pino
- Biology, Medicine
- The Biological bulletin
- 1 April 1999

Stretches of deep ocean are potent barriers to the dispersion of nearshore, benthic marine taxa. Such obstacles can be overcome, however, by species that have either a protracted pelagic larval… Expand

102 5

Solutions with multiple catenoidal ends to the Allen–Cahn equation in R3

- O. Agudelo, M. A. Pino, J. Wei
- Mathematics
- 2015

Abstract We consider the Allen–Cahn equation Δ u + u ( 1 − u 2 ) = 0 in R 3 . We construct two classes of axially symmetric solutions u = u ( | x ′ | , x 3 ) such that the (multiple) components of… Expand

19 5

Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data

- J. Dávila, M. A. Pino, Monica Musso
- Mathematics
- 15 October 2005

Abstract We consider the elliptic equation - Δ u + u = 0 in a bounded, smooth domain Ω in R 2 subject to the nonlinear Neumann boundary condition ∂ u ∂ ν = ɛ e u . Here ɛ > 0 is a small parameter. We… Expand

26 4- PDF

Bubbling blow-up in critical parabolic problems

- M. A. Pino
- Physics
- 4 October 2017

These lecture notes are devoted to the analysis of blow-up of solutions for some parabolic equations that involve bubbling phenomena. The term bubbling refers to the presence of families of solutions… Expand

13 3- PDF

Standing waves for supercritical nonlinear Schrödinger equations

- J. Dávila, M. A. Pino, Monica Musso, J. Wei
- Mathematics
- 1 May 2007

Let V(x) be a non-negative, bounded potential in RN, N⩾3 and p supercritical, p>N+2N−2. We look for positive solutions of the standing-wave nonlinear Schrodinger equation Δu−V(x)u+up=0 in RN, with… Expand

28 2- PDF

Green's function and infinite-time bubbling in the critical nonlinear heat equation

- C. Cortázar, M. A. Pino, M. Musso
- Mathematics
- 25 April 2016

Let $\Omega$ be a smooth bounded domain in $\R^n$, $n\ge 5$. We consider the semilinear heat equation at the critical Sobolev exponent $$ u_t = \Delta u + u^{\frac{n+2}{n-2}} \inn \Omega\times… Expand

27 2- PDF

A counterexample to a conjecture by De Giorgi in large dimensions

- M. A. Pino, M. Kowalczyk, J. Wei
- Mathematics
- 1 December 2008

We consider the Allen–Cahn equation
Δu+u(1−u2)=0in RN.
A celebrated conjecture by E. De Giorgi (1978) states that if u is a bounded solution to this problem such that ∂xNu>0, then the level sets… Expand

31 2- PDF