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• W3128666923 abstract "We study the existence of infinitely many solutions for a generalized p (·)‐Laplace equation involving Leray–Lions operators. Firstly, under a p (·)‐sublinear condition for nonlinear term, we obtain a sequence of solutions approaching 0 by showing a new a priori bound for solutions. Secondly, for a p (·)‐superlinear condition, we produce a sequence of solutions whose Sobolev norms diverge to infinity when the nonlinear term satisfies a couple of generalized Ambrosetti–Rabinowitz type conditions in which each associated energy functional holds the Palais–Smale condition. Lastly, we deal with a case without the Ambrosetti–Rabinowitz type condition in which an associated energy functional holds the Cerami condition and establish a sequence of solutions whose Sobolev norms diverge to infinity." @default.
• W3128666923 created "2021-02-15" @default.
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• W3128666923 date "2021-02-04" @default.
• W3128666923 modified "2023-10-15" @default.
• W3128666923 title "Infinitely many solutions for a generalized <i>p</i>(·)‐Laplace equation involving Leray–Lions type operators" @default.
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• W3128666923 doi "https://doi.org/10.1002/mma.7246" @default.
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