Results 241 to 250 of about 211,809 (286)

<i>Catalpa lutea</i> (Bignoniaceae), a new species from north, central, and east China. [PDF]

open access: yesPhytoKeys
Liu Y   +7 more
europepmc   +1 more source

Overdetermined Elliptic Systems

Foundations of Computational Mathematics, 2005
We consider linear overdetermined systems of partial differential equations. We show that the introduction of weights classically used for the definition of ellipticity is not necessary, as any system that is elliptic with respect to some weights becomes elliptic without weights during its completion to involution.
Katsiaryna Krupchyk   +2 more
openaire   +1 more source

Asymptotics for Semilinear Elliptic Systems

Canadian Mathematical Bulletin, 1991
AbstractA class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in ℝN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N) as |x| —> ∞.
Noussair, Ezzat S., Swanson, Charles A.
openaire   +2 more sources

Positive splutions of semilinear elliptic systems

Communications in Partial Differential Equations, 1992
We investigate the existence of positive solutions of a Dirichlet problem for the system -A. =f(u),-Av =g(u) in a bounded convex domain 0 of IRN with smooth boundary. In particular L" a priori bounds are obtained in the same spirit as in De Figueiredo - Lions - Nussbaum [7].
MITIDIERI, ENZO   +2 more
openaire   +2 more sources

Singularly perturbed elliptic systems

Nonlinear Analysis: Theory, Methods & Applications, 2006
The authors prove the existence of a family of positive solutions for two coupled nonlinear stationary Schrödinger equations, concentrating at a point in the limit. In some cases the location of the concentration point is given in terms of the potential functions of the stationary Schrödinger equations.
Alves, Claudianor O.   +1 more
openaire   +1 more source

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