Existence of three weak solutions for Kirchhoff-type problems with variable exponent and nonhomogeneous Neumann conditions



	Existence of three weak solutions for Kirchhoff-type problems with variable exponent and nonhomogeneous Neumann conditions


	Fixed Point Theory, Volume 21, No. 2, 2020, 525-548, July 1st, 2020 DOI: 10.24193/fpt-ro.2020.2.38 Authors: S. Heidarkhani, A.L.A. De Araujo, G.A. Afrouzi and S. Moradi Abstract: We study the existence of at least three weak solutions for a class of differential equations with p(x)-Kirchhoff-type and subject to perturbations of nonhomogeneous Neumann conditions. Our technical approach is based on variational methods. Some applications and examples illustrate the obtained results. Key Words and Phrases: Variable exponent Sobolev spaces, p(x)-Kirchhoff-type problems, three weak solutions, variational methods. 2010 Mathematics Subject Classification: 35J20, 35J60, 47H10. Published on-line: July 1st, 2020. Abstract pdf Fulltext pdf Back to volume's table of contents