Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces

Ghasem A. Afrouzi; Shaeid Shokooh; Nguyen T. Chung

Commentationes Mathematicae Universitatis Carolinae (2019)

  • Volume: 60, Issue: 3, page 361-378
  • ISSN: 0010-2628

Abstract

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Under a suitable oscillatory behavior either at infinity or at zero of the nonlinear term, the existence of infinitely many weak solutions for a non-homogeneous Neumann problem, in an appropriate Orlicz--Sobolev setting, is proved. The technical approach is based on variational methods.

How to cite

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Afrouzi, Ghasem A., Shokooh, Shaeid, and Chung, Nguyen T.. "Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces." Commentationes Mathematicae Universitatis Carolinae 60.3 (2019): 361-378. <http://eudml.org/doc/294581>.

@article{Afrouzi2019,
abstract = {Under a suitable oscillatory behavior either at infinity or at zero of the nonlinear term, the existence of infinitely many weak solutions for a non-homogeneous Neumann problem, in an appropriate Orlicz--Sobolev setting, is proved. The technical approach is based on variational methods.},
author = {Afrouzi, Ghasem A., Shokooh, Shaeid, Chung, Nguyen T.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non-homogeneous Neumann problem; variational methods; Orlicz--Sobolev space},
language = {eng},
number = {3},
pages = {361-378},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces},
url = {http://eudml.org/doc/294581},
volume = {60},
year = {2019},
}

TY - JOUR
AU - Afrouzi, Ghasem A.
AU - Shokooh, Shaeid
AU - Chung, Nguyen T.
TI - Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2019
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 60
IS - 3
SP - 361
EP - 378
AB - Under a suitable oscillatory behavior either at infinity or at zero of the nonlinear term, the existence of infinitely many weak solutions for a non-homogeneous Neumann problem, in an appropriate Orlicz--Sobolev setting, is proved. The technical approach is based on variational methods.
LA - eng
KW - non-homogeneous Neumann problem; variational methods; Orlicz--Sobolev space
UR - http://eudml.org/doc/294581
ER -

References

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