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Positive solutions of asymptotically linear equations via Pohozaev manifold
Authors:Raquel Lehrer  Liliane A Maia
Institution:1. Centro de Ciências Exatas e Tecnológicas – CCET, Universidade Estadual do Oeste do Paraná – UNIOESTE, Cascavel, Paraná, Brazil;2. Departamento de Matemática, UnB, 70910-900 Brasília, Brazil
Abstract: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.
Keywords:Asymptotically linear  Pohozaev identity  Concentration compactness  Cerami sequence  Barycenter
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