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Preprints, Working Papers, ... Year : 2015

ELLIPTIC EQUATIONS WITH ABSORPTION IN A HALF-SPACE

Abstract

We give a necessary and sufficient condition, in the spirit of the clas-sical works by Keller and Osserman, for the elliptic equation ∆u = f (u) to have a solution in a half-space of R N . The function f is supposed to be nondecreasing and nonnegative, and we are interested in solutions whose range is where f > 0.
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Dates and versions

hal-01111679 , version 1 (30-01-2015)
hal-01111679 , version 2 (22-10-2015)

Identifiers

  • HAL Id : hal-01111679 , version 2

Cite

Jorge García-Melián, A Quaas, B Sirakov. ELLIPTIC EQUATIONS WITH ABSORPTION IN A HALF-SPACE. 2015. ⟨hal-01111679v2⟩

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