Browsing by Author "Musso, Mónica"
Now showing items 1-17 of 17
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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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(Universidad de Chile, 2013)Hay dos partes en mi tesis. La primera parte se dedica principalmente a la construcción de soluciones burbujeantes de algunos problemas elípticos con no linealidad exponencial en $\mathbb{R}^2$. En la segunda parte se ...
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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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Existence and asymptotic behavior of solutions to semilinear elliptic problems via reduction methods (Universidad de Chile, 2012)Este trabajo se concentra principalmente en estudiar el método de reducción de Lyapunov-Schmidt y sus aplicaciones al estudio de existencia de soluciones a problemas semilineales elípticos. En particular, utilizamos ...
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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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(Universidad de ChilePrograma Cybertesis, 2007)El objetivo de esta memoria es utilizar el método de perturbaciones singulares para probar existencia de ground states y soluciones singulares en ecuaciones elípticas no-lineales. .
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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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(AMER MATHEMATICAL SOC, 2012-02)
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(Wiley, 2015)For the abelian self-dual Chern-Simons-Higgs model we address existence issues of periodic vortex configurations—the so-called condensates—of nontopological type as k ! 0, where k > 0 is the Chern-Simons parameter. We ...
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(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2008-10)Let Omega be a bounded smooth domain in R-4 such that for some integer d >= 1 its d-th singular cohomology group with coefficients in some field is not zero, then problem {Delta(2)u - rho(4)k(x)e(u) = 0 in Omega, u = ...
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(SPRINGER, 2006-10)We consider the boundary value problem Du = 0 in Omega, partial derivative u/partial derivative v = 2 lambda sinh u on partial derivative Omega where Omega is a smooth and bounded domain in R-2 and lambda > 0. We prove ...
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(Universidad de Chile, 2018)Consideramos un volumen $V\subset \R^3$ generado al rotar alrededor del eje $Z$ un dominio $\Omega \subset \R^2$ acotado y suave que vive en el plano $XZ$. En este trabajo se construye una solución del flujo de mapa armónico ...
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(2012)We study entire solutions of the Allen-Cahn equation which are defined in the 3-dimensional Euclidean space and which are invariant under screw-motion. In particular, we discuss the existence and non existence of nontrivial ...
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(2007)Let V (x) be a non-negative, bounded potential in R-N, N >= 3 and p supercritical, p > N+2/N-2. We look for positive solutions of the standing-wave nonlinear Schrodinger equation Delta u - V(x)u + u(P) = 0 in R-N, with ...
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(ELSEVIER SCIENCE BV, 2005-01)In this paper we consider the following problem {-Δu+u=uN+2N-2+εinΩ,u>0inΩ,∂u∂ν= 0on∂Ω, where Ω is a smooth bounded domain in RN and N≥3. We prove the existence of a one-spike solution to (0.1) which ...
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(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006-10-15)Let Omega be a bounded domain with smooth boundary in R-2. We construct non-constant solutions to the complex-valued Ginzburg-Landau equation epsilon(2)Delta u + (1 - vertical bar u vertical bar(2))u = 0 in Omega, as epsilon ...
