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Fractional logarithmic Schrödinger equations |
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| Authors: | Pietro d'Avenia Marco Squassina Marianna Zenari |
| Institution: | 1. Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Bari, Italy;2. Dipartimento di Informatica, Università degli Studi di Verona, Verona, Italy;3. Dipartimento di Matematica, Università degli Studi di Trento, Povo (TN), Italy |
| 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. Copyright © 2015 JohnWiley & Sons, Ltd |
| Keywords: | fractional Schrö dinger equations multiplicity of solutions regularity of solutions |