Bifurcation and multiplicity results for critical fractional p-Laplacian problems

Kanishka Perera; Marco Squassina; Yang Yang

doi:10.1002/mana.201400259

Bifurcation and multiplicity results for critical fractional p-Laplacian problems

Kanishka Perera
, Marco Squassina
, Yang Yang

Florida Institute of Technology
Jiangnan University

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

41 Citations (Scopus)

Abstract

We prove a bifurcation and multiplicity result for a critical fractional p-Laplacian problem that is the analog of the Brezis-Nirenberg problem for the nonlocal quasilinear case.

Original language	English
Pages (from-to)	332-342
Number of pages	11
Journal	Mathematische Nachrichten
Volume	289
DOIs	https://doi.org/10.1002/mana.201400259
Publication status	Published - 2016

Keywords

Bifurcation results
fractional p-Laplacian

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10.1002/mana.201400259

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title = "Bifurcation and multiplicity results for critical fractional p-Laplacian problems",

abstract = "We prove a bifurcation and multiplicity result for a critical fractional p-Laplacian problem that is the analog of the Brezis-Nirenberg problem for the nonlocal quasilinear case.",

keywords = "Bifurcation results, fractional p-Laplacian, Bifurcation results, fractional p-Laplacian",

author = "Kanishka Perera and Marco Squassina and Yang Yang",

year = "2016",

doi = "10.1002/mana.201400259",

language = "English",

volume = "289",

pages = "332--342",

journal = "Mathematische Nachrichten",

issn = "0025-584X",

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T1 - Bifurcation and multiplicity results for critical fractional p-Laplacian problems

AU - Perera, Kanishka

AU - Squassina, Marco

AU - Yang, Yang

PY - 2016

Y1 - 2016

N2 - We prove a bifurcation and multiplicity result for a critical fractional p-Laplacian problem that is the analog of the Brezis-Nirenberg problem for the nonlocal quasilinear case.

AB - We prove a bifurcation and multiplicity result for a critical fractional p-Laplacian problem that is the analog of the Brezis-Nirenberg problem for the nonlocal quasilinear case.

KW - Bifurcation results

KW - fractional p-Laplacian

KW - Bifurcation results

KW - fractional p-Laplacian

UR - http://hdl.handle.net/10807/87061

U2 - 10.1002/mana.201400259

DO - 10.1002/mana.201400259

M3 - Article

SN - 0025-584X

VL - 289

SP - 332

EP - 342

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

ER -

Bifurcation and multiplicity results for critical fractional p-Laplacian problems

Abstract

Keywords

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