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Issue: Vol. 15 No. 8 (2026): Natural Sciences Issue (Vietnamese)
Section: Natural Sciences Issue (Vietnamese)
DOI: 10.52714/dthu.ns.2564.1875
Date Published: 28/04/2026
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Nguyen, T. C., & Hoang, T. T. H. (2026). On a class of neumann boundary problem for elliptic Kirchhoff-type equations with generalized variable exponents. Dong Thap University Journal of Science, 15(8), 60-73. https://doi.org/10.52714/dthu.ns.2564.1875

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On a class of neumann boundary problem for elliptic Kirchhoff-type equations with generalized variable exponents

Thanh Chung Nguyen1, Thi Thu Hai Hoang2,
1 Faculty of Mathematics and Informatics, The University of Danang - University of Science and Education, Vietnam
2 Faculty of Mathematics and Information Technology, The University of Danang - University of Science and Education, Vietnam

Main Article Content

Abstract

In this paper, we study a class of Neumann boundary value problems for Kirchhoff-type elliptic equations whose nonlinear terms on the right-hand side involve integral expressions. By applying Ekeland’s variational principle and the critical point theory in Sobolev spaces with generalized variable exponents, we establish the conditions that guarantee the existence of a nontrivial weak solution to the problem.

Keywords

Neumann boundary value problems, kirchhoff-type elliptic equations, Ekeland’s variational principle, anisotropic variable exponents

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

References

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