Existence results for Dirichlet double phase differential inclusions

Authors

DOI:

https://doi.org/10.24193/subbmath.2023.1.04

Keywords:

Differential inclusion, double phase problems, Musielak-Orlicz-Sobolev spaces, nonsmooth critical point theory, hemivariational inequality.

Abstract

In this paper we consider a class of double phase differential inclusions.

The variational formulation of the problem gives rise to a so-called hemivariational inequality and the corresponding energy functional is not differentiable.

Mathematics Subject Classification (2010): 35J60, 35D30, 35A15, 49J40, 49J52.

Received 07 October 2022; Revised 25 January 2023. Published Online: 2023-03-20. Published Print: 2023-04-30.

Author Biographies

Nicușor COSTEA, Politehnica University of Bucharest, Romania e-mail: nicusorcostea@yahoo.com

Department of Mathematics and Computer Science, Politehnica University of Bucharest, 313 Splaiul Independen¸tei, 060042 Bucharest, Romania e-mail: nicusorcostea@yahoo.com

Shengda ZENG, University in Krakow, Faculty of Mathematics and Computer Science, Krakow, Poland e-mail: zengshengda@163.com

Guangxi Colleges and Universities Key Laboratory of Complex, System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, Guangxi, P.R. China and Jagiellonian University in Krakow, Faculty of Mathematics and Computer Science, ul. Lojasiewicza 6, 30-348 Krakow, Poland e-mail: zengshengda@163.com

References

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Published

2023-03-20

How to Cite

COSTEA, N., & ZENG, S. (2023). Existence results for Dirichlet double phase differential inclusions. Studia Universitatis Babeș-Bolyai Mathematica, 68(1), 51–61. https://doi.org/10.24193/subbmath.2023.1.04

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