Existence of positive entire solutions of fully nonlinear elliptic equations

Existence of positive entire solutions of fully nonlinear elliptic equations 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Elliptic and Parabolic Equations Springer Journals

Existence of positive entire solutions of fully nonlinear elliptic equations

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Orthogonal Publishing and Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Partial Differential Equations
ISSN
2296-9020
eISSN
2296-9039
D.O.I.
10.1007/s41808-018-0019-0
Publisher site
See Article on Publisher Site

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.

Journal

Journal of Elliptic and Parabolic EquationsSpringer Journals

Published: May 29, 2018

References

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