By means of nonsmooth critical point theory, we obtain existence of infinitely many weak solutions of the fractional Schrödinger equation with logarithmic nonlinearity. We also investigate the Hölder regularity of the weak solutions.
D'Avenia, P., Squassina, M., Zenari, M., Of fractional logarithmic Schrodinger equations, <<MATHEMATICAL METHODS IN THE APPLIED SCIENCES>>, 2015; 38 (N/A): 5207-5216. [doi:10.1002/mma.3449] [http://hdl.handle.net/10807/87056]
Of fractional logarithmic Schrodinger equations
Squassina, MarcoSecondo
;
2015
Abstract
By means of nonsmooth critical point theory, we obtain existence of infinitely many weak solutions of the fractional Schrödinger equation with logarithmic nonlinearity. We also investigate the Hölder regularity of the weak solutions.
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