Publication detail

Nonhomogeneous multiparameter problems in Orlicz-Sobolev spaces

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

Original Title

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

State

Federal Republic of Germany

Pages from

Pages to

Pages count

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"
}