1/2-Laplacian problems with exponential nonlinearity

A. Iannizzotto; Marco Squassina

doi:10.1016/j.jmaa.2013.12.059

1/2-Laplacian problems with exponential nonlinearity

A. Iannizzotto^*
, Marco Squassina

^*Corresponding author

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

61 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	372-385
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	414
Issue number	N/A
DOIs	https://doi.org/10.1016/j.jmaa.2013.12.059
Publication status	Published - 2014

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Exponential nonlinearity

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10.1016/j.jmaa.2013.12.059

Cite this

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

abstract = "By exploiting a suitable Trudinger–Moser inequality for fractional Sobolev spaces,\textbackslash{}r\textbackslash{}nwe obtain existence and multiplicity of solutions for a class of one-dimensional\textbackslash{}r\textbackslash{}nnonlocal equations with fractional diffusion and nonlinearity at exponential growth.",

keywords = "Exponential nonlinearity, Exponential nonlinearity",

author = "A. Iannizzotto and Marco Squassina",

year = "2014",

doi = "10.1016/j.jmaa.2013.12.059",

language = "English",

volume = "414",

pages = "372--385",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "N/A",

}

TY - JOUR

T1 - 1/2-Laplacian problems with exponential nonlinearity

AU - Iannizzotto, A.

AU - Squassina, Marco

PY - 2014

Y1 - 2014

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

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

KW - Exponential nonlinearity

UR - https://publicatt.unicatt.it/handle/10807/87878

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84893981451&origin=inward

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U2 - 10.1016/j.jmaa.2013.12.059

DO - 10.1016/j.jmaa.2013.12.059

M3 - Article

SN - 0022-247X

VL - 414

SP - 372

EP - 385

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - N/A

ER -

1/2-Laplacian problems with exponential nonlinearity

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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