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

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo › peer review

27 Citazioni (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.

Lingua originale	Inglese
pagine (da-a)	5207-5216
Numero di pagine	10
Rivista	Mathematical Methods in the Applied Sciences
Volume	38
Numero di pubblicazione	N/A
DOI	https://doi.org/10.1002/mma.3449
Stato di pubblicazione	Pubblicato - 2015

All Science Journal Classification (ASJC) codes

Matematica generale
Ingegneria Generale

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",

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journal = "Mathematical Methods in the Applied Sciences",

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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

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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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