Browsing by Author "Esposito, Pierpaolo"

Now showing 1 - 5 of 5
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    Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
    (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006) Esposito, Pierpaolo; Musso, Monica; Pistoia, Angela
    We consider the boundary value problem Delta u + u(P) = 0 in a bounded, smooth domain Omega in R-2 with homogeneous Dirichlet boundary condition and p a large exponent. We find topological conditions on Omega which ensure the existence of a positive solution up concentrating at exactly m points as p -> infinity. In particular, for a nonsimply connected domain such a solution exists for any given m >= 1. (c) 2006 Elsevier Inc. All rights reserved.
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    NONDEGENERACY OF ENTIRE SOLUTIONS OF A SINGULAR LIOUVILLLE EQUATION
    (AMER MATHEMATICAL SOC, 2012) del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica
    We establish nondegeneracy of the explicit family of finite mass solutions of the Liouvillle equation with a singular source of integer multiplicity, in the sense that all bounded elements in the kernel of the linearization correspond to variations along the parameters of the family.
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    Nontopological condensates for the self-dual chern-Simons-Higgs model
    (2015) Del Pino, Miguel; Esposito, Pierpaolo; Figueroa, Pablo; Musso Polla, Mónica
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    On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity
    (WILEY, 2007) Esposito, Pierpaolo; Musso, Monica; Pistoia, Angela
    We study the existence of nodal solutions to the boundary value problem -Delta u = \u\(p-1)u in a bounded, smooth domain Omega in R-2, with homogeneous Dirichlet boundary condition, when p is a large exponent. We prove that, for p large enough, there exist at least two pairs of solutions which change sign exactly once and whose nodal lines intersect the boundary of Omega.
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    TWO-DIMENSIONAL EULER FLOWS WITH CONCENTRATED VORTICITIES
    (AMER MATHEMATICAL SOC, 2010) del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica
    For a planar model of Euler flows proposed by Tur and Yanovsky (2004), we construct a family of velocity fields w(e) for it fluid in a bounded region Omega, with concentrated vorticities w(e) for epsilon > 0 small. More precisely, given a positive integer a and a sufficiently small complex number a, we find a family of stream functions psi(epsilon) which solve the Liouville equation with Dirac mass source,