Browsing by Author "García-Huidobro, M"
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- ItemGround states and free boundary value problems for the n-Laplacian in n dimensional space(2000) García-Huidobro, M; Manásevich, R; Serrin, J; Tang, MX; Yarur, CSUsing a new gradient estimate, we prove several theorems on the existence of radial ground states For the n-Laplace equation div(\del u\(n-2) del u) + f(u) = 0 in R-n,n > 1, and the existence of positive radial solutions for the associated Dirichlet-Neumann free boundary value problem in a ball. We treat exponentially subcritical. critical, and supercritical nonlinearities f(u), which also are allowed to have singularities at zero. Moreover, we show that the local behavior off at zero affects the existence in a crucial way: this allows us to prove the existence of ground states for a large class of functions f(ll) without imposing any restriction on their growth for large. (C) 2000 Academic Press.
- ItemMountain pass type solutions for quasilinear elliptic equations(2000) Clément, P; García-Huidobro, M; Manásevich, R; Schmitt, KWe establish the existence of weak solutions in an Orlicz-Sobolev space to the Dirichlet problem
- ItemOn a semilinear parabolic system of reaction-diffusion with absorption(2003) Bidaut-Véron, MF; García-Huidobro, M; Yarur, CWe consider the semilinear parabolic system with absorption terms in a bounded domain Omega of R-N
- ItemOn the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian(2006) Cortázar, C; García-Huidobro, MWe consider the problem of uniqueness of radial ground state solutions to