Detail publikačního výsledku

Nonhomogeneous multiparameter problems in Orlicz-Sobolev spaces

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

Originální název

Nonhomogeneous multiparameter problems in Orlicz-Sobolev spaces

Anglický název

Nonhomogeneous multiparameter problems in Orlicz-Sobolev spaces

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2024

Vydáno

02.04.2023

Nakladatel

WILEY-V C H VERLAG GMBH

Místo

WEINHEIM

ISSN

0025-584X

Periodikum

Mathematische Nachrichten

Svazek

2023

Číslo

5

Stát

Spolková republika Německo

Strany od

1

Strany do

20

Strany počet

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"
}