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DOI: 10.23952/jnfa.2022.19
Received March 21, 2022; Accepted April 20, 2022; Published May 14, 2022
Abstract In this paper, we consider the following Kirchhoff equation
with the Dirichlet boundary value. Assuming that the main term is sublinear and odd with respect to , and the perturbation term is a any continuous function with a small coefficient, we establish the existence and multiplicity of nontrivial solutions for the problem. The approach relies on a combination of variational and minimization methods coupled with the reduction technique.
How to Cite this Article:
X. Hu, Y.-Y. Lan, Multiple solutions of Kirchhoff equations with a small perturbations, J. Nonlinear Funct. Anal. 2022 (2022) 19.