Infinitely many solutions for the $p(x)$-Laplacian equations without (AR)-type growth condition
Tom 105 / 2012
Annales Polonici Mathematici 105 (2012), 87-99
MSC: Primary 35J60; Secondary 58E30.
DOI: 10.4064/ap105-1-8
Streszczenie
Under no Ambrosetti–Rabinowitz-type growth condition, we study the existence of infinitely many solutions of the $p(x)$-Laplacian equations by applying the variant fountain theorems due to Zou [Manuscripta Math. 104 (2001), 343–358].
