This paper is concerned with the existence of nontrivial weak solutions for a p(x)-Kirchhoff-type problem. By using the Mountain Pass theorem of Ambrosetti and Rabinowitz, Ekeland's variational principle and the theory of the variable exponent Sobolev spaces, we establish conditions for the existence of weak solutions.
机构:
Univ Catania, Dipartimento Matemat & Informat, Catania, Italy
RUDN Univ, Moscow, RussiaMohammed V Univ, Fac Sci, Dept Math, Lab Math Anal & Applicat, Rabat, Morocco
机构:
Univ Texas El Paso, Dept Math Sci, 124 Bell Hall,500 W Univ Ave, El Paso, TX 79968 USAUniv Texas El Paso, Dept Math Sci, 124 Bell Hall,500 W Univ Ave, El Paso, TX 79968 USA