In this paper we try to generalize a well known result due to Brezis on the existence of weak solutions in the whole space to second-order fully nonlinear equations with an absorption term satisfying a Keller–Osserman condition plus an additive external source without growth condition at infinity. We also discuss constant sign solutions.
Existence of positive entire solutions of fully nonlinear elliptic equations
Antonio Vitolo
2018-01-01
Abstract
In this paper we try to generalize a well known result due to Brezis on the existence of weak solutions in the whole space to second-order fully nonlinear equations with an absorption term satisfying a Keller–Osserman condition plus an additive external source without growth condition at infinity. We also discuss constant sign solutions.File in questo prodotto:
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