Publication detail

Nonhomogeneous multiparameter problems in Orlicz-Sobolev spaces

RADULESCU, V.D. DOS SANTOS, G.C.G. TAVARES, L.S.

Original Title

Nonhomogeneous multiparameter problems in Orlicz-Sobolev spaces

Type

journal article in Web of Science

Language

English

Original Abstract

This paper is concerned with the existence and multiplicity of solutions for a class of problems involving the f-Laplacian operator with general assumptions on the nonlinearities, which include both semipositone cases and critical concave convex problems. The research is based on the subsupersolution technique combined with a truncation argument and an application of the Mountain Pass Theorem. The results in this paper improve and complement some recent contributions to this field.

Keywords

phi-Laplacian; concentration-compactness principle; Mountain Pass Theorem; semipositone problem; subsupersolution; variational method

Authors

RADULESCU, V.D.; DOS SANTOS, G.C.G.; TAVARES, L.S.

Released

2. 4. 2023

Publisher

WILEY-V C H VERLAG GMBH

Location

WEINHEIM

ISBN

0025-584X

Periodical

Mathematische Nachrichten

Year of study

2023

Number

5

State

Federal Republic of Germany

Pages from

1

Pages to

20

Pages count

20

URL

https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.202100377

BibTex

@article{BUT183402,
  author="Vicentiu {Radulescu} and Gelson C. G. {dos Santos} and Leandro S. {Tavares}",
  title="Nonhomogeneous multiparameter problems in Orlicz-Sobolev spaces",
  journal="Mathematische Nachrichten",
  year="2023",
  volume="2023",
  number="5",
  pages="1--20",
  doi="10.1002/mana.202100377",
  issn="0025-584X",
  url="https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.202100377"
}