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. Furthermore, we prove that there exists a unique positive solution which is radially symmetric and nondegenerate
Titolo: | On the logarithmic Schrodinger equation |
Autori: | |
Data di pubblicazione: | 2014 |
Rivista: | |
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. Furthermore, we prove that there exists a unique positive solution which is radially symmetric and nondegenerate |
Handle: | http://hdl.handle.net/11562/586950 |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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