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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 15
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Research Article

Existence of non-zero solutions for a Dirichlet problem driven by (p(x),q(x)-Laplacian

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Pages 5323-5333 | Received 14 Dec 2020, Accepted 31 Jan 2021, Published online: 22 Feb 2021
 

ABSTRACT

The paper focuses on a Dirichlet problem driven by the (p(x),q(x))-Laplacian. The existence of at least two non-zero solutions under suitable conditions on the nonlinear term is established. The approach is based on variational methods.

2010 Mathematics Subject Classifications:

Acknowledgments

The authors have been partially supported by the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). The paper is partially supported by PRIN 2017- Progetti di Ricerca di rilevante Interesse Nazionale, ‘Nonlinear Differential Problems via Variational, Topological and Set-valued Methods’ (2017AYM8XW).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The authors have been partially supported by the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). The paper is partially supported by PRIN 2017- Progetti di Ricerca di rilevante Interesse Nazionale, ‘Nonlinear Differential Problems via Variational, Topological and Set-valued Methods’ (2017AYM8XW).

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