Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-25T08:42:03.853Z Has data issue: false hasContentIssue false

Existence of positive solutions of quasilinear elliptic equations

Published online by Cambridge University Press:  17 April 2009

Adrian Constantin
Affiliation:
Courant Institute of Mathematical Sciences, 251 Mercer Street, 10012 New York NY, United States of America
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove under quite general assumptions the existence of a positive solution to the equation Δu + f(x, u) + g(x)x.∇u = 0 in exterior domains of Rn (n ≥ 3).

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

References

REFERENCES

[1]Constantin, A., ‘On the asymptotic behavior of second order nonlinear differential equations’, Rend. Mat. Appl. 13 (1994), 627634.Google Scholar
[2]Constantin, A., ‘Solutions globales des équations différentielles perturbées,’, C.R. Acad. Sci. Paris 320 (1995), 13191322.Google Scholar
[3]Noussair, E.S. and Swanson, C.A., ‘Positive solutions of quasilinear elliptic equations in exterior domains’, J. Math. Anal. Appl. 75 (1980), 121133.Google Scholar
[4]Swanson, C.A., ‘Criteria for oscillatory sublinear Schrödinger equations’, Pacific J. Math. 104 (1983), 483493.CrossRefGoogle Scholar