Some existence and nonexistence results for a class of Kirchhoff-double phase systems in bounded domains

Chung, Nguyen Thanh; Naghizadeh, Zohreh

doi:10.22034/cmde.2024.61823.2689

Some existence and nonexistence results for a class of Kirchhoff-double phase systems in bounded domains

Document Type : Research Paper

Authors

¹ Department of Mathematics, Quang Binh University, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam.

² Faculty of Sciences, Department of Mathematics, University of Science and Technology of Mazandaran, P.O. Box 48518-78195, Behshahr, Iran.

10.22034/cmde.2024.61823.2689

Abstract

In this paper, the existence and nonexistence of multiple solutions for a class of Kirchhoff-double phase systems depending on one parameter in bounded domains are considered. Our main tools are essentially based on variational techniques. To our best knowledge, there seems to be few results on Kirchhoff-double phase type systems in the existing literature.

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Main Subjects