Browsing by Author "Pino Manresa, Manuel del"
Now showing items 21-38 of 38
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(Birkhauser Verlag, 2017)The goal of this note is to study the asymptotic behavior of positive solutions for a class of semilinear elliptic equations which can be realized as minimizers of their energy functionals. This class includes the Fisher-KPP ...
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(Universidad de Chile, 2016)Esta tesis doctoral está dedicada al estudio de problemas inversos y de control en el área de la mecánica de fluidos. Nos centramos en las ecuaciones de Stokes y de Navier Stokes, tanto sistemas estacionarios como evolutivos, ...
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(London Mathematical Society, 2008)We consider the Ginzbug–Landau energy in a cylinder in R3, and a canonical approximation for critical points with an assembly of n 2 periodic vortex lines near the axis of the cylinder. We find a formula for the energy ...
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(SIAM PUBLICATIONS, 2006)We consider the problem epsilon(2)Delta u + (u - a(x))(1 - u(2)) = 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega is a smooth and bounded domain in R-2, - 1 < a( x) < 1. ...
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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, 2016)El objetivo de este trabajo es revisar la historia de un problema formulado hace ya más de 250 años, y que todavía no ha abandonado el terreno de la conjetura. De hecho, las ecuaciones de Euler y de Navier - Stokes en tres ...
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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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(Springer, 2020)We construct finite time blow-up solutions to the 2-dimensional harmonic map flow into the sphere S-2, u(t) = Delta u + vertical bar del u vertical bar(2)u in Omega x (0, T) u = phi on partial derivative Omega x (0, ...
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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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(1999)In this paper we consider a class of nonlinear singularly perturbed elliptic problems of the form ε2 Δu - u + f(u) = 0 in Ω, for a superlinear, subcritical function f. Here Ω a smooth bounded domain, ε > 0 is a small ...
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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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(AMER INST MATHEMATICAL SCIENCES, 2008-05)Abstract. We review some recent existence results for the elliptic problem u+up = 0, u > 0 in an exterior domain, = RN \D under zero Dirichlet and vanishing conditions, where D is smooth and bounded, and p > N+2 N−2 ...
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(2007)Let D be a bounded, smooth domain in R-N, N >= 3, P is an element of D. We consider the boundary value problem in Omega = D \ B delta (P), Delta u +u(p) =0, u > 0 i n Omega, u = 0 on partial derivative Omega, with p ...
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(Springer Berlin, 2008-10)We consider the Allen-Cahn equation "2 u+(1−u2)u = 0 in a bounded, smooth domain in R2, under zero Neumann boundary conditions, where " > 0 is a small parameter. Let 0 be a segment contained in , connecting ...
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(2010)We construct a new class of positive solutions for the classical elliptic problem ¢u ¡ u + up = 0; p > 2; in R2: We establish a deep relation between them and the following Toda system c2f00 j = efj¡1¡fj ¡ efj¡fj+1 in ...
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(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006-12-01)We consider the problem of Ambrosetti-Prodi type [GRAPHICS] where Q is a bounded, smooth domain in R-2, phi(1) is a positive first eigenfunction of the Laplacian under Dirichlet boundary conditions and h is an element ...
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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 ...
