Optimal solvability for a nonlinear problem at critical growth

Marco Squassina; Lorenzo Brasco

Optimal solvability for a nonlinear problem at critical growth

Marco Squassina
, Lorenzo Brasco

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

Abstract

We provide optimal solvability conditions for a nonlocal minimization problem at critical growth involving an external potential function a. Furthermore, we get an existence and uniqueness result for a related nonlocal equation

Original language	English
Pages (from-to)	2242-2269
Number of pages	28
Journal	Journal of Differential Equations
Publication status	Published - 2018

Keywords

nonlocal problems

Cite this

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title = "Optimal solvability for a nonlinear problem at critical growth",

abstract = "We provide optimal solvability conditions for a nonlocal minimization problem at critical growth involving an external potential function a. Furthermore, we get an existence and uniqueness result for a related nonlocal equation",

keywords = "nonlocal problems, nonlocal problems",

author = "Marco Squassina and Lorenzo Brasco",

year = "2018",

language = "English",

pages = "2242--2269",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Optimal solvability for a nonlinear problem at critical growth

AU - Squassina, Marco

AU - Brasco, Lorenzo

PY - 2018

Y1 - 2018

N2 - We provide optimal solvability conditions for a nonlocal minimization problem at critical growth involving an external potential function a. Furthermore, we get an existence and uniqueness result for a related nonlocal equation

AB - We provide optimal solvability conditions for a nonlocal minimization problem at critical growth involving an external potential function a. Furthermore, we get an existence and uniqueness result for a related nonlocal equation

KW - nonlocal problems

UR - http://hdl.handle.net/10807/116441

M3 - Article

SN - 0022-0396

SP - 2242

EP - 2269

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Optimal solvability for a nonlinear problem at critical growth

Abstract

Keywords

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