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
Chung, N. T. (2021). Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities. Computational Methods for Differential Equations, 9(2), 589-603. doi: 10.22034/cmde.2020.32848.1526
MLA
Nguyen Thanh Chung. "Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities". Computational Methods for Differential Equations, 9, 2, 2021, 589-603. doi: 10.22034/cmde.2020.32848.1526
HARVARD
Chung, N. T. (2021). 'Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities', Computational Methods for Differential Equations, 9(2), pp. 589-603. doi: 10.22034/cmde.2020.32848.1526
VANCOUVER
Chung, N. T. Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities. Computational Methods for Differential Equations, 2021; 9(2): 589-603. doi: 10.22034/cmde.2020.32848.1526
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