In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations
D'Avenia, P., Montefusco, E., Squassina, M., On the logarithmic Schrodinger equation, <<COMMUNICATIONS IN CONTEMPORARY MATHEMATICS>>, 2014; 16 (2): 1-15. [doi:10.1142/S0219199713500326] [http://hdl.handle.net/10807/88659]
On the logarithmic Schrodinger equation
Squassina, MarcoUltimo
2014
Abstract
In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations
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