Work

Existence of Solutions for Nonhomogeneous Dirichlet Problems in Orlicz-sobolev Spaces

Year: 2024

Type: article

Abstract: In this paper, by using variational methods and critical point theory in an appropriate Orlicz-Sobolev space, we establish the existence of infinitely many nontrivial solutions to a nonhomogeneous problem. Precisely, we use the Z_2-symmetric version for the well-known Mountain Pass theorem, to prove the existence of such solutions.

Source: Journal of Science and Arts

DOI: 10.46939/j.sci.arts-24.4-a11

Authors: HAIKEL OUERGHI, KHALD BENALI, AMOR DRISSI

Institutions: University of Jendouba, University of Gabès, Tunis El Manar University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4405699900

FWCI:

Cites: 26

Cited by:

Related to: 10