Browsing by Author "Pistoia, Angela"
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- ItemA refined result on sign changing solutions for a critical elliptic problem(2013) Ge, Yuxin; Musso Polla, Mónica; Pistoia, Angela; Pollack, Daniel
- ItemConcentrating solutions for a planar elliptic problem involving nonlinearities with large exponent(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006) Esposito, Pierpaolo; Musso, Monica; Pistoia, AngelaWe 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.
- ItemConcentration on minimal submanifolds for a Yamabe-type problem(2016) Shengbing, Deng; Musso Polla, Mónica; Pistoia, Angela
- ItemLarge energy entire solutions for the Yamabe equation(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011) del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, AngelaWe consider the Yamabe equation Delta u + n(n-2_/4 vertical bar u vertical bar 4/n-2 u = 0 in R(n), n >= 3. Let k >= 1 and xi(k)(j) = (e(2j pi u/k), 0) is an element of R(n) = C x R(n-2). For all large k we find a solution of the form u(k)(x)= u(x) - Sigma(k)(j=1) mu(k) (-n-2/2) U X (mu(-1)(k) (x - xi(j)) +o(1), where U(x) = (2/1+vertical bar x vertical bar(2)) (n-2/2), mu(k) = c(n)/k(2) for n >= 4, mu k = c/k(2)(logk)(2) for n =3 and o(1) -> 0 uniformly as k -> +infinity. (C) 2011 Elsevier Inc. All rights reserved.
- ItemMultipeak solutions to the Bahri-Coron problem in domains with a shrinking hole(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009) Clapp, Monica; Musso, Monica; Pistoia, AngelaWe construct positive and sign changing multipeak solutions to the Pure critical exponent problem in a bounded domain with a shrinking hole, having a peak which concentrates at some point inside the shrinking hole (i.e. outside the domain) and one or more peaks which concentrate at interior points of the domain. These are, to Our knowledge, the first multipeak solutions in a domain with a single small hole. (C) 2008 Elsevier Inc. All rights reserved.
- ItemOn 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, AngelaWe 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.
- ItemPersistence of Coron's solution in nearly critical problems(2007) Musso Polla, Mónica; Pistoia, Angela
- ItemSign changing solutions to a Bahri-Coron's problem in pierced domains(AMER INST MATHEMATICAL SCIENCES-AIMS, 2008) Musso, Monica; Pistoia, AngelaWe consider the problem
- ItemSign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2006) Musso, Monica; Pistoia, AngelaWe consider the problem Delta u + \u\(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega \ B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains the origin and is symmetric with respect to the origin, N >= 3 and epsilon is a positive parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up at the origin. (C) 2006 Elsevier Masson SAS. All rights reserved.
- ItemSign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains(TAYLOR & FRANCIS INC, 2010) Ge, Yuxin; Musso, Monica; Pistoia, AngelaWe consider the problem [image omitted] in epsilon, u=0 on epsilon, where epsilon: =\{B(a, epsilon) B(b, epsilon)}, with a bounded smooth domain in N, N epsilon 3, ab two points in , and epsilon is a positive small parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up both at a and at b.
- ItemTorus action on S^n and sign changing solutions for conformally invariant equations(2013) Del Pino, Manuel; Musso Polla, Mónica; Pacard, Frank; Pistoia, Angela
- ItemTower of bubbles for almost critical problems in general domains(2010) Musso Polla, Mónica; Pistoia, Angela