Positive solutions of Kirchhoff type elliptic equations involving a critical Sobolev exponent

Author:

Naimen Daisuke

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference35 articles.

1. Alves C.O., Corrêa F.J.S.A., Ma T.F.: Positive solutions for a quasilinear elliptic equation of Kirchhoff type. Comput. Math. Appl. 49, 85–93 (2005)

2. Alves C.O., Corrêa F.J.S.A., Figueiredo G.M.: On a class of nonlocal elliptic problems with critical growth. Differ. Equ. Appl. 2, 409–417 (2010)

3. Alves C.O., Figueiredo G.M.: Nonlinear perturbations of a periodic Kirchhoff equation in $${\mathbb{R}^N}$$ R N . Nonlinear Anal. 75, 2750–2759 (2012)

4. Arosio, A.: Averaged evolution equations. The Kirchhoff string and its treatment in scales of Banach spaces. In: Functional Analytic Methods in Complex Analysis and Applications to Partial Differential Equations (Trieste, 1993), pp. 220–254. World Sci. Publ., River Edge (1995)

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

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