Journal
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Volume 16, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219199713500326
Keywords
Logarithmic Schrodinger equation; existence; multiplicity; qualitative properties
Categories
Funding
- MIUR project: Variational and Topological Methods in the Study of Nonlinear Phenomena
- FRA project Onde solitarie
- MIUR project: Existence, multiplicity and qualitative properties of solutions of nonlinear elliptic problems
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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.
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