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

Florida Institute of Technology

Risultato della ricerca: Contributo in rivista › Articolo in rivista

13 Citazioni (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.''

Lingua originale	English
pagine (da-a)	561-576
Numero di pagine	16
Rivista	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
DOI	https://doi.org/10.3934/dcdss.2018031
Stato di pubblicazione	Pubblicato - 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",

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AU - Perera, Kanishka

AU - Squassina, Marco

PY - 2018

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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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