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Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities | ||
| Computational Methods for Differential Equations | ||
| مقاله 17، دوره 9، شماره 2، تیر 2021، صفحه 589-603 اصل مقاله (152.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.32848.1526 | ||
| نویسنده | ||
| Nguyen Thanh Chung* | ||
| Department of Mathematics, Quang Binh University, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Viet Nam. | ||
| چکیده | ||
| In this paper, we study the existence of a nontrival weak solution for a class of Kirchhoff type problems with singular potentials and critical exponents. The proofs are essentially based on an appropriated truncated argument, Caffarelli-Kohn-Nirenberg inequalities, combined with a variant of the concentration compactness principle. We also get a priori estimates of the obtained solution | ||
| کلیدواژهها | ||
| Kirchhoff type problems؛ Caffarelli-Kohn-Nirenberg inequalities؛ Critical exponents؛ Mountain pass theorem | ||
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آمار تعداد مشاهده مقاله: 403 تعداد دریافت فایل اصل مقاله: 392 |
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