Existence Results for an Elliptic Equation of Kirchhoff-Type with Changing Sign Data

Author:

Azzouz N.1,Bensedik A.1

Affiliation:

1. Université de Tlemcen

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference9 articles.

1. [1] Alves, C. O. and Corrêa, F. J. S. A., On existence of solutions for a class of problem involving a nonlinear operator, Comm. Appl. Nonlinear Anal., 8 (2001), 43-56.

2. [2] Alves, C. O., Corrêa, F. J. S. A. and Ma, T. F., Positive solutions for a quasilinear elliptic equation of Kirchhoff type, Comput. Math. Appl., 49 (2005), 85-93.

3. [3] Các, N. P., Gatica, J. A. and Li, Y., Positive solutions to semilinear problems with coefficient that changes sign, Nonlinear Anal., 37 (1999), 501-510.

4. [4] Corrêa, F. J. S. A. and Menezes, S. D. B., Existence of solutions to nonlocal and singular elliptic problems via Galerkin method, Electron. J. Differential Equations, 2004, No. 19, 10pp.

5. [5] Dai, Q. and Gu, Y., Positive solutions for non-homogeneous semilinear elliptic equations with data that changes sign, Proc. Roy. Soc. Edinburgh Sect. A, 133 (2003), 297-306.

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