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The Nehari solutions and asymmetric minimizers
1.  Daugavpils University, Parades str. 1, Daugavpils, LV 5400, Latvia 
2.  Insitute of Mathematics and Computer Science, University of Latvia, Rainis boul. 29, Riga, LV 1459, Latvia 
References:
[1] 
Z.Nehari, Characteristic values associated with a class of nonlinear second order differential equations, Acta Math., 105 (1961), 141176. MR0123775 
[2] 
A. Gritsans and F. Sadyrbaev, Characteristic numbers of nonautonomous EmdenFowler type equations, Mathematical Modelling and Analysis., 11 (2006), 243252. MR2268126 
[3] 
A. Gritsans and F. Sadyrbaev, Lemniscatic functions in the theory of the Emden  Fowler diferential equation, Mathematics. Differential equations (Univ. of Latvia, Institute of Math. and Comp. Sci.), 3: 5  27, 2003. (electr. version http://www.lumii.lv/Pages/sbornik/s3f3v1.pdf ). 
[4] 
R. Kajikiya, Noneven least energy solutions of the EmdenFowler equation, Proc. Amer. Math. Soc., 140 (2012), no. 4, 13531362. MR2869119 
[5] 
F. Zh. Sadyrbaev, Solutions of an equation of EmdenFowler type. (Russian), Differentsial'nye Uravneniya, 25 (1989), no. 5, 799805; translation in Differential Equations 25 (1989), no. 5, 560565. MR1003036 
show all references
References:
[1] 
Z.Nehari, Characteristic values associated with a class of nonlinear second order differential equations, Acta Math., 105 (1961), 141176. MR0123775 
[2] 
A. Gritsans and F. Sadyrbaev, Characteristic numbers of nonautonomous EmdenFowler type equations, Mathematical Modelling and Analysis., 11 (2006), 243252. MR2268126 
[3] 
A. Gritsans and F. Sadyrbaev, Lemniscatic functions in the theory of the Emden  Fowler diferential equation, Mathematics. Differential equations (Univ. of Latvia, Institute of Math. and Comp. Sci.), 3: 5  27, 2003. (electr. version http://www.lumii.lv/Pages/sbornik/s3f3v1.pdf ). 
[4] 
R. Kajikiya, Noneven least energy solutions of the EmdenFowler equation, Proc. Amer. Math. Soc., 140 (2012), no. 4, 13531362. MR2869119 
[5] 
F. Zh. Sadyrbaev, Solutions of an equation of EmdenFowler type. (Russian), Differentsial'nye Uravneniya, 25 (1989), no. 5, 799805; translation in Differential Equations 25 (1989), no. 5, 560565. MR1003036 
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