Of fractional logarithmic Schrodinger equations

Marco Squassina; Pietro D'Avenia; Marianna Zenari

doi:10.1002/mma.3449

Of fractional logarithmic Schrodinger equations

Marco Squassina, Pietro D'Avenia, Marianna Zenari

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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.

Original language	English
Pages (from-to)	5207-5216
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	38
DOIs	https://doi.org/10.1002/mma.3449
Publication status	Published - 2015

Keywords

fractional equations
logarithmic NLS

Access to Document

10.1002/mma.3449

Cite this

@article{4e374517b0c24777920a26524c3be061,

title = "Of fractional logarithmic Schrodinger equations",

abstract = "By means of nonsmooth critical point theory, we obtain existence of infinitely many weak solutions of the fractional Schr{\"o}dinger equation with logarithmic nonlinearity. We also investigate the H{\"o}lder regularity of the weak solutions.",

keywords = "fractional equations, logarithmic NLS, fractional equations, logarithmic NLS",

author = "Marco Squassina and Pietro D'Avenia and Marianna Zenari",

year = "2015",

doi = "10.1002/mma.3449",

language = "English",

volume = "38",

pages = "5207--5216",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley & Sons Limited:1 Oldlands Way, Bognor Regis, P022 9SA United Kingdom:011 44 1243 779777, EMAIL: cs-journals@wiley.co.uk, INTERNET: http://www.wiley.co.uk, Fax: 011 44 1243 843232 -Stuttgart: Teubner.",

}

TY - JOUR

T1 - Of fractional logarithmic Schrodinger equations

AU - Squassina, Marco

AU - D'Avenia, Pietro

AU - Zenari, Marianna

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - fractional equations

KW - logarithmic NLS

KW - fractional equations

KW - logarithmic NLS

UR - http://hdl.handle.net/10807/87056

U2 - 10.1002/mma.3449

DO - 10.1002/mma.3449

M3 - Article

VL - 38

SP - 5207

EP - 5216

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

ER -

Of fractional logarithmic Schrodinger equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this