Positive solutions of elliptic equations with a critical oscillatory nonlinearity

Kyril Tintarev

doi:10.3934/proc.2007.2007.974

Article Contents

2007, Volume 2007: 974-981. Doi: 10.3934/proc.2007.2007.974 open access

This issue Previous Article Partial flat core properties associated to the $p$-laplace operator Next Article Conservative numerical scheme in complex arithmetic for coupled nonlinear Schrödinger equations

Positive solutions of elliptic equations with a critical oscillatory nonlinearity

Kyril Tintarev^1,

1.
Department of Mathematics, Uppsala University, P.O. Box 480, 751 06 Uppsala

Received: August 31, 2006

Revised: March 31, 2007

Published: August 2007

Abstract Related Papers Cited by

Abstract

We prove existence of a counterpart of the Talenti solution in the critical semilinear problem −$\Delatu = f(u)$ in $\mathbb{R}^N$, $N$ > 3, where the nonlinearity $f$ oscillates about the critical "stem" $f(s) = s^((N+2)/(N − 2))$ : specifically, $f(2^((N − 2)/2j)s) = 2^(( N + 2)/ 2 j)f(s)$ for all $j \in \mathbb{Z}$, $s \in \mathb{R}.

Keywords:

Mathematics Subject Classification: Primary 35J20, 35J60.

Citation:

Article Metrics

HTML views() PDF downloads(46) Cited by(0)

Positive solutions of elliptic equations with a critical oscillatory nonlinearity

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Positive solutions of elliptic equations with a critical oscillatory nonlinearity

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content