Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 237, Issue 2, Pages 655-674Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2006.04.005
Keywords
Schrodinger-Poisson equation; variational methods; Pohozaev equality; Lagrange multiplier rule
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In this paper we study the problem [GRAPHICS] where u, phi : R-3 --> R are positive radial functions, lambda > 0 and 1 < p < 5. We give existence and nonexistence results, depending on the parameters p and lambda. It turns out that p = 2 is a critical value for the existence of solutions. (C) 2006 Elsevier Inc. All rights reserved.
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