On a nonlocal problem involving a nonstandard nonhomogeneous differential operator

Mustafa Avci; Berat Süer

doi:10.1007/s41808-018-0032-3

On a nonlocal problem involving a nonstandard nonhomogeneous differential operator

Mustafa Avci
, Berat Süer

Centre for Science

Batman University

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

4 Citations (Scopus)

Abstract

In this article, we are concerned with some class of nonlocal problems involving a nonstandard nonlocal and nonhomogeneous differential operator settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.

Original language	English
Pages (from-to)	47-67
Number of pages	21
Journal	Journal of Elliptic and Parabolic Equations
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/s41808-018-0032-3
Publication status	Published - 1 Jun. 2019

Keywords

Ginzburg–Landau energy
Mountain-Pass theorem
Musielak–Orlicz–Sobolev spaces
Nonlocal problems
Variable exponent
Variational approach

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10.1007/s41808-018-0032-3

Cite this

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title = "On a nonlocal problem involving a nonstandard nonhomogeneous differential operator",

abstract = "In this article, we are concerned with some class of nonlocal problems involving a nonstandard nonlocal and nonhomogeneous differential operator settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.",

keywords = "Ginzburg–Landau energy, Mountain-Pass theorem, Musielak–Orlicz–Sobolev spaces, Nonlocal problems, Variable exponent, Variational approach",

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AU - Avci, Mustafa

AU - Süer, Berat

PY - 2019/6/1

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N2 - In this article, we are concerned with some class of nonlocal problems involving a nonstandard nonlocal and nonhomogeneous differential operator settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.

AB - In this article, we are concerned with some class of nonlocal problems involving a nonstandard nonlocal and nonhomogeneous differential operator settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.

KW - Ginzburg–Landau energy

KW - Mountain-Pass theorem

KW - Musielak–Orlicz–Sobolev spaces

KW - Nonlocal problems

KW - Variable exponent

KW - Variational approach

UR - https://www.scopus.com/pages/publications/85070861147

U2 - 10.1007/s41808-018-0032-3

DO - 10.1007/s41808-018-0032-3

M3 - Journal Article

AN - SCOPUS:85070861147

SN - 2296-9020

VL - 5

SP - 47

EP - 67

JO - Journal of Elliptic and Parabolic Equations

JF - Journal of Elliptic and Parabolic Equations

IS - 1

ER -

On a nonlocal problem involving a nonstandard nonhomogeneous differential operator

Abstract

Keywords

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