Entire large solutions of semilinear elliptic equations of mixed type

Alan V. Lair; Ahmed Mohammed

doi:10.3934/cpaa.2009.8.1607

Article Contents

2009, Volume 8, Issue 5: 1607-1618. Doi: 10.3934/cpaa.2009.8.1607

This issue Previous Article The construction of quasi-periodic solutions of quasi-periodic forced Schrödinger equation Next Article Semi-linear sub-elliptic equations on the Heisenberg group with a singular potential

Entire large solutions of semilinear elliptic equations of mixed type

Alan V. Lair^1, and
Ahmed Mohammed^2,

1.
Department of Mathematics and Statistics, Air Force Institute of Technology/ ENC, 2950 Hobson Way, Wright Patterson AFB, OH 45433-7765
2.
Department of Mathematical Sciences, Ball State University, Muncie, IN 47306

Received: September 30, 2008

Revised: December 31, 2008

Published: August 2009

Abstract Related Papers Cited by

Abstract

We prove existence and nonexistence of nonnegative entire large solutions for the semilinear elliptic equation $\Delta u = p(x)f(u) + q(x)g(u)$ in which $f$ and $g$ are nondecreasing and vanish at the origin. The locally Hölder continuous functions $p$ and $q$ are nonnegative. We extend results previously obtained for special cases of $f$ and $g$.

Keywords:

Mathematics Subject Classification: Primary: 35J25, 35J60; Secondary: 35B05, 34B18.

Citation:

Article Metrics

HTML views() PDF downloads(106) Cited by(0)

Entire large solutions of semilinear elliptic equations of mixed type

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Entire large solutions of semilinear elliptic equations of mixed type

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content