Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

Kanishka Perera; Marco Squassina

doi:10.3934/dcdss.2018031

Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

Kanishka Perera
, Marco Squassina^*

^*Corresponding author

Florida Institute of Technology

Research output: Contribution to journal › Article

13 Citations (Scopus)

Abstract

"By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of multiple solutions for a problem involving the nonlinear fractional laplacian and a related critical exponential nonlinearity. This extends the literature for the N-Laplacian operator.''

Original language	English
Pages (from-to)	561-576
Number of pages	16
Journal	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
DOIs	https://doi.org/10.3934/dcdss.2018031
Publication status	Published - 2018

Keywords

Trudinger Moser inequalities

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10.3934/dcdss.2018031

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title = "Bifurcation results for problems with fractional Trudinger-Moser nonlinearity",

abstract = "{"}By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of multiple solutions for a problem involving the nonlinear fractional laplacian and a related critical exponential nonlinearity. This extends the literature for the N-Laplacian operator.''",

keywords = "Trudinger Moser inequalities, Trudinger Moser inequalities",

author = "Kanishka Perera and Marco Squassina",

year = "2018",

doi = "10.3934/dcdss.2018031",

language = "English",

pages = "561--576",

journal = "DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S",

issn = "1937-1632",

publisher = "USA, Springfield: American Institute of Mathematical Sciences P.O. Box 2604 Springfield, MO 65801-2604, USA",

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TY - JOUR

T1 - Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

AU - Perera, Kanishka

AU - Squassina, Marco

PY - 2018

Y1 - 2018

N2 - "By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of multiple solutions for a problem involving the nonlinear fractional laplacian and a related critical exponential nonlinearity. This extends the literature for the N-Laplacian operator.''

AB - "By using a suitable topological argument based on cohomological linking and by exploiting a Trudinger-Moser inequality in fractional spaces recently obtained, we prove existence of multiple solutions for a problem involving the nonlinear fractional laplacian and a related critical exponential nonlinearity. This extends the literature for the N-Laplacian operator.''

KW - Trudinger Moser inequalities

UR - http://hdl.handle.net/10807/132143

U2 - 10.3934/dcdss.2018031

DO - 10.3934/dcdss.2018031

M3 - Article

SN - 1937-1632

SP - 561

EP - 576

JO - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S

JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S

ER -

Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

Abstract

Keywords

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