%0 Journal Article
%T An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Latifi, Mehdi
%A Alimohammady, Mohsen
%D 2024
%\ 05/20/2024
%V
%N
%P -
%! An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight
%K $p(x)$-Kirchhoff
%K nontrivial weak solution
%K Mountain pass theorem
%K Ekeland variational principle
%R 10.22060/ajmc.2024.22990.1213
%X This paper discusses the existence of nontrivial weak solutions for a class of $p(x)$-Kirchhoff-type equation plus an indefinite potential under Robin boundary condition. The variable exponent theory of generalized Lebesgue-Sobolev spaces, mountain pass theorem and Ekeland variational principle are used for this purpose.
%U