Publication detail

Some useful tools in the study of nonlinear elliptic problems

PAPAGEORGIOU, N. RADULESCU, V.

Original Title

Some useful tools in the study of nonlinear elliptic problems

Type

journal article in Web of Science

Language

English

Original Abstract

This paper gives an overview of some basic aspects concerning the qualitative analysis of nonlinear, nonhomogeneous elliptic problems. We are concerned with two classes of elliptic equations with Dirichlet boundary condition. The first problem is driven by a general nonhomogeneous differential operator, which includes several usual operators (such as the (p,q)-Laplace operator introduced by P. Marcellini). Next, we focus on differential operators with unbalanced growth in the nonautonomous case. Our analysis will point out some relevant differences between balanced and unbalanced growth problems. The presentation is done in the context of Dirichlet problems but a similar analysis can be developed for other boundary conditions, such as Neumann or Robin.

Keywords

(p, q)-equation; Constant sign and nodal solutions; Dirichlet boundary condition; Double phase energy; Nonhomogeneous differential operator; Nonlinear elliptic equation

Authors

PAPAGEORGIOU, N.; RADULESCU, V.

Released

5. 12. 2024

ISBN

0723-0869

Periodical

EXPOSITIONES MATHEMATICAE

Year of study

42(6)

Number

125616

State

Federal Republic of Germany

Pages from

1

Pages to

27

Pages count

27

URL

https://doi.org/10.1016/j.exmath.2024.125616

BibTex

@article{BUT189703,
  author="Nikolaos S. {Papageorgiou} and Vicentiu {Radulescu}",
  title="Some useful tools in the study of nonlinear elliptic problems",
  journal="EXPOSITIONES MATHEMATICAE",
  year="2024",
  volume="42(6)",
  number="125616",
  pages="27",
  doi="10.1016/j.exmath.2024.125616",
  issn="0723-0869",
  url="https://doi.org/10.1016/j.exmath.2024.125616"
}