Browsing by Author "Dávila, Juan"
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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(Elsevier, 2015)Let (M, g) be an n-dimensional compact Riemannian manifold without boundary and Gamma be a non-degenerate closed geodesic of (M, g). We prove that the supercritical problem -Delta(g)u + hu = u(n+1/n+3) (+/-) (epsilon), ...
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(Universidad de Chile. Departamento de Ingeniería Matemática, 2009-03-04)
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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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(Elsevier, 2012)We construct solutions of the Liouville equation u + 2eu =0 inΩ with Ω a smooth bounded domain in R2, with Robin boundary condition ∂u ∂ν + λu =0 on∂Ω. The solutions constructed exhibit concentration as → 0 ...
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(AMER MATHEMATICAL SOC, 2005)We prove global existence of nonnegative solutions to the singular parabolic equation ut - Deltau+chi ({u> 0})(- u(-beta) +lambdaf(u)) = 0 in a smooth bounded domain Omega subset of R-N with zero Dirichlet boundary condition ...
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(AMER INST MATHEMATICAL SCIENCES, 2008-07)We consider Delta u = 0 in Omega, partial derivative u/partial derivative v = lambda f(u) on Gamma(1), u= 0 on Gamma(2) where lambda > 0, f(u) = e(u) or f(u) = (1 + u)(p), Gamma(1), Gamma(2) is a partition of partial ...
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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, 2008-01)Given alpha > 0 and a domain Omega C R-N, we show that for every finite energy solution it u >= 0 of the equation -Delta u + u(-alpha) = f (x) 2 in Omega, the set [u = 0] has Hausdorff dimension at most N - 2 + 2/alpha+1. ...
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(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2005)We prove existence of nonnegative solutions to -Delta u + u = 0 on a smooth bounded domain Omega subject to the singular boundary derivative condition partial derivative u/partial derivative v = -u(-beta) + lambda f (x, ...
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(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008-06-15)We study the travelling wave problem J * u - u - cu' + f(u) = 0 in R, u(-infinity) = 0, u(+infinity) = 1 with an asymmetric kernel J and a monostable nonlinearity. We prove the existence of a minimal speed, and under ...
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(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011-07-01)We prove regularity and partial regularity results for finite Morse index solutions u is an element of H-1 (Omega) boolean AND L-P(Omega) to the Lane-Emden equation -Delta u = vertical bar u vertical bar(P-1)u in Omega.
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(Elsevier, 2013)We consider the supercritical elliptic problem −Δu=λeu, λ>0, in an exterior domain Ω=RN∖D under zero Dirichlet condition, where D is smooth and bounded in RN, N⩾3. We prove that, for λ small, this problem admits infinitely ...
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(Elsevier, 2013)We consider positive radially symmetric solutions of −Δu = λ(eu − 1), in B, u = 0 on ∂B, where B is the unit ball in RN , N ≥ 3 and λ > 0 is a parameter. We establish infinite multiplicity of regular solutions for 3 ≤ ...
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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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(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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(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 ...
