Positive solutions of asymptotically linear equations via Pohozaev manifold

We present a new method for finding positive solutions of nonlinear elliptic equations, which are non-homogeneous and asymptotically linear at infinity, by using projections on a Pohozaev manifold rather than the Nehari manifold associated with the problem.

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Bibliographic Details
Published in:	Journal of functional analysis Vol. 266; no. 1; pp. 213 - 246
Main Authors:	Lehrer, Raquel, Maia, Liliane A.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-01-2014
Subjects:	Asymptotically linear Barycenter Cerami sequence Concentration compactness Pohozaev identity Barycenter Pohozaev identity Asymptotically linear Cerami sequence Concentration compactness
Online Access:	Get full text
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Description
Summary:	We present a new method for finding positive solutions of nonlinear elliptic equations, which are non-homogeneous and asymptotically linear at infinity, by using projections on a Pohozaev manifold rather than the Nehari manifold associated with the problem.
ISSN:	0022-1236 1096-0783
DOI:	10.1016/j.jfa.2013.09.002