Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-9-2_017
Index date: 4 February 2023
Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities abstract
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
Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities Keywords:
Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities authors
Nguyen Thanh Chung
Department of Mathematics, Quang Binh University, ۳۱۲ Ly Thuong Kiet, Dong Hoi, Quang Binh, Viet Nam.