Positive solutions of Kirchhoff type problems with critical growth on exterior domains

Author:

Dai Ting-Ting,Ou Zeng-Qi,Tang Chun-Lei,Lv Ying

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Reference34 articles.

1. Arosio, A., Panizzi, S.: On the well-posedness of the Kirchhoff string. Trans. Am. Math. Soc. 348, 305–330 (1996)

2. Bernstein, S.: Sur une class d’équations fonctionnelles aux dérivées partielles. Bull. Acad. Sci. URSS. Sér. Math. 4, 17–26 (1940)

3. Benci, V., Cerami, G.: Existence of positive solutions of the equation $$-\Delta u+a(x)u = u^{(N+2)/(N-2)}$$ in $$\mathbb{R} ^N$$. J. Funct. Anal. 88, 90–117 (1990)

4. Chen, C.Y., Kuo, Y.C., Wu, T.F.: The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions. J. Differ. Equ. 250, 1876–1908 (2011)

5. Cavalcanti, M.M., Cavalcanti, V.N.D., Soriano, J.A.: Global existence and uniform decay rates for the Kirchhoff–Carrier equation with nonlinear dissipation. Adv. Differ. Equ. 6, 701–730 (2001)

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