International Journal of Nonlinear Analysis and Applications

Nonexistence and Multiplicity results for binonlocal Leray-Lions type problems

Articles in Press

Document Type : Research Paper

Author

Faculty of Sciences, Department of Mathematics, University of Science and Technology of Mazandaran, P.O. Box 48518-78195, Behshahr, Iran

Abstract

The Leray-Lions operators attract much attention because they are flexible enough to be specified for different elliptic operators. The goal of this paper is to obtain the existence of at least three distinct weak solutions for a Leray-Lions problem of $r(x)$-Kirchhoff type and a nonexistence result in the exponent constant case. The technique is constructed on variational methods.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 05 October 2025
  • Receive Date: 02 July 2024
  • Accept Date: 12 February 2025