Browsing by Author "Pino Manresa, Manuel del"
Now showing items 1-20 of 38
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(SPRINGER, 2011-04)In a bounded domain Omega subset of R(2) with smooth boundary we consider the problem Delta U =0 in Omega, du/dv = i/epsilon f(u) on d Omega where nu is the unit normal exterior vector, epsilon > 0 is a small parameter ...
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(Springer, 2017)This paper presents a new family of solutions to the singularly perturbed Allen-Cahn equation α2Δu + u(1 − u2) = 0 in a smooth bounded domain Ω ⊂ R3, with Neumann boundary condition and α > 0 a small parameter. These ...
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(IOP PUBLISHING LTD, 2006-03)We consider the boundary value problem: Delta u - au + epsilon(2)e(u) = 0, u > 0 in Omega, sigma u/sigma v = 0 on sigma Omega, which is equivalent to the stationary Keller-Segel system from chemotaxis. Here Omega subset ...
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(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2005-10-15)We consider the elliptic equation -Delta u+u=O in a bounded, smooth domain ohm in R-2 subject to the nonlinear Neumann boundary condition delta u/delta v = epsilon e(u). Here epsilon > 0 is a small parameter. We prove that ...
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(Universidad de Chile, 2011)En esta tesis doctoral se construyen soluciones para ecuaciones diferenciales parciales elípticas con no-linealidades exponenciales en el toro plano. La motivación proviene de ecuaciones de tipo Liouville en el estudio de ...
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(ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, 2008-12)We consider the Allen–Cahn equation u +u 1− u2 =0 inRN. 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 {u=λ}, λ ∈R, ...
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(ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, 2008-12)We consider the Allen-Cahn equation Delta u + u(1 - u(2)) = 0 in R-N. A celebrated conjecture by E. De Giorgi (1978) states that if u is it bounded Solution to this problem Such that partial derivative(xN) u > 0, then ...
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(Springer, 2017)We construct Delaunay-type solutions for the fractional Yamabe problem with an isolated singularity(Formula Presented.)We follow a variational approach, in which the key is the computation of the fractional Laplacian in ...
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(SPRINGER, 2008-08)We consider the elliptic problem Delta u + u(p) = 0, u > 0 in an exterior domain, Omega = R-N\D under zero Dirichlet and vanishing conditions, where D is smooth and bounded in R-N, N >= 3, and p is supercritical, namely p ...
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(Elsevier, 2017)Finite topology self-translating surfaces for the mean curva-ture flow constitute a key element in the analysis of TypeII singularities from a compact surface because they arise as lim-its after suitable blow-up scalings ...
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(2010-11)Let (M, ˜g) be an N-dimensional smooth (compact or noncompact) Riemannian manifold. We introduce the elliptic Jacobi-Toda system on (M, ˜g). We review various recent results on its role in the construction of solutions ...
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(Academic Press Inc Elsevier Science, 2016)We consider the boundary value problem { -Delta u + u = lambda e(u), in Omega partial derivative(v)u = 0 on partial derivative Omega where Omega is a bounded smooth domain in R-2, lambda > 0 and v is the inner ...
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(Springer New York, 1997)
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(Elsevier Masson SAS, 1998)In this paper we consider the study of standing wave solutions for a nonlinear Schrödinger equation. This problem reduces to that of finding nonnegative solutions of ε2Δu - V (x) u + (Latin small letter esh) (u) = 0 in Ω. ...
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(2010)We construct a new class of entire solutions for the Allen-Cahn equation u + (1 u2)u = 0, in R2( C). Given k 1, we nd a family of solutions whose zero level sets are, away from a compact set, asymptotic to 2k ...
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(ELSEVIER, 2010)Let Ω be a bounded, smooth domain in R2. We consider critical points of the Trudinger–Moser type functional Jλ(u) = 12 Ω |∇u|2 − λ2 Ω eu2 in H1 0 (Ω), namely solutions of the boundary value problem u + λueu2 = 0 ...
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(International Press of Boston, 2017)We construct new ancient compact solutions to the Yamabe ow. Our solutions are rotationally symmetric and converge, as t → ∞1, to two self-similar complete non-compact solutions to the Yamabe ow moving in opposite directions. ...
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(AMER MATHEMATICAL SOC, 2012-02)
