1/2-Laplacian problems with exponential nonlinearity

Marco Squassina; Antonio Iannizzotto

1/2-Laplacian problems with exponential nonlinearity

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

Abstract

By exploiting a suitable Trudinger–Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth.

Lingua originale	English
pagine (da-a)	372-385
Numero di pagine	14
Rivista	Journal of Mathematical Analysis and Applications
Volume	414
Stato di pubblicazione	Pubblicato - 2014

Keywords

Exponential nonlinearity

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title = "1/2-Laplacian problems with exponential nonlinearity",

abstract = "By exploiting a suitable Trudinger–Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth.",

keywords = "Exponential nonlinearity, Exponential nonlinearity",

author = "Marco Squassina and Antonio Iannizzotto",

year = "2014",

language = "English",

volume = "414",

pages = "372--385",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445",

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TY - JOUR

T1 - 1/2-Laplacian problems with exponential nonlinearity

AU - Squassina, Marco

AU - Iannizzotto, Antonio

PY - 2014

Y1 - 2014

N2 - By exploiting a suitable Trudinger–Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth.

AB - By exploiting a suitable Trudinger–Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth.

KW - Exponential nonlinearity

UR - http://hdl.handle.net/10807/87878

M3 - Article

VL - 414

SP - 372

EP - 385

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

ER -

1/2-Laplacian problems with exponential nonlinearity

Abstract

Keywords

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