Of fractional logarithmic Schrodinger equations

P. D'Avenia; Marco Squassina; M. Zenari

doi:10.1002/mma.3449

Of fractional logarithmic Schrodinger equations

P. D'Avenia, Marco Squassina^*, M. Zenari

^*Corresponding author

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
Issue number	N/A
DOIs	https://doi.org/10.1002/mma.3449
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering

Keywords

fractional equations
logarithmic NLS

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10.1002/mma.3449

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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 = "P. D'Avenia and Marco Squassina and M. 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 and Sons Ltd",

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TY - JOUR

T1 - Of fractional logarithmic Schrodinger equations

AU - D'Avenia, P.

AU - Squassina, Marco

AU - Zenari, M.

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 - https://publicatt.unicatt.it/handle/10807/87056

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84955213828&origin=inward

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84955213828&origin=inward

U2 - 10.1002/mma.3449

DO - 10.1002/mma.3449

M3 - Article

SN - 0170-4214

VL - 38

SP - 5207

EP - 5216

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - N/A

ER -

Of fractional logarithmic Schrodinger equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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