On the logarithmic Schrodinger equation

Pietro D'Avenia; Eugenio Montefusco; Marco Squassina

doi:10.1142/S0219199713500326

On the logarithmic Schrodinger equation

Pietro D'Avenia
, Eugenio Montefusco
, Marco Squassina

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

37 Citazioni (Scopus)

Abstract

In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations

Titolo tradotto del contributo	[Autom. eng. transl.] On the logarithmic Schrodinger equation
Lingua originale	Italian
pagine (da-a)	1-15
Numero di pagine	15
Rivista	Communications in Contemporary Mathematics
Volume	16
DOI	https://doi.org/10.1142/S0219199713500326
Stato di pubblicazione	Pubblicato - 2014

Keywords

Logarithmic Schrodinger equation

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10.1142/S0219199713500326

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keywords = "Logarithmic Schrodinger equation, Logarithmic Schrodinger equation",

author = "Pietro D'Avenia and Eugenio Montefusco and Marco Squassina",

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T1 - On the logarithmic Schrodinger equation

AU - D'Avenia, Pietro

AU - Montefusco, Eugenio

AU - Squassina, Marco

PY - 2014

Y1 - 2014

N2 - In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations

AB - In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations

KW - Logarithmic Schrodinger equation

UR - http://hdl.handle.net/10807/88659

U2 - 10.1142/S0219199713500326

DO - 10.1142/S0219199713500326

M3 - Articolo

SN - 0219-1997

VL - 16

SP - 1

EP - 15

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

ER -

On the logarithmic Schrodinger equation

Abstract

Keywords

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