Chlebík, Miroslav, Fila, Marek and Reichel, Wolfgang (2003) Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition. Nonlinear Differential Equations and Applications, 10 (3). pp. 329-346. ISSN 1021-9722

Full text not available from this repository.

Abstract

We study the existence of positive solutions of a linear elliptic equation with critical Sobolev exponent in a nonlinear Neumann boundary condition. We prove a result which is similar to a classical result of Brezis and Nirenberg who considered a corresponding problem with nonlinearity in the equation. Our proof of the fact that the dimension three is critical uses a new Pohozaev-type identity.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Depositing User:	Miroslav Chlebik
Date Deposited:	06 Feb 2012 20:33
Last Modified:	11 May 2012 14:34
URI:	http://sro.sussex.ac.uk/id/eprint/26551

📧 Request an update