Positive solutions of asymptotically linear equations via Pohozaev manifold |
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Authors: | Raquel Lehrer Liliane A Maia |
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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 |
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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. |
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Keywords: | Asymptotically linear Pohozaev identity Concentration compactness Cerami sequence Barycenter |
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