Multiple solutions for Kirchhoff†type problems with variable exponent and nonhomogeneous Neumann conditions

Shapour Heidarkhani, Anderson L. A. De Araujo, Ghasem A. Afrouzi and Shahin Moradi

Mathematische Nachrichten, 2018, vol. 291, issue 2-3, 326-342

Abstract: The existence of at least three weak solutions for a class of differential equations with p(x)†Kirchhoff†type and subject to small perturbations of nonhomogeneous Neumann conditions is established under suitable assumptions. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.

Date: 2018
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