A Multiplicity Theorem for Superlinear Double Phase Problems

A Multiplicity Theorem for Superlinear Double Phase Problems

We consider a nonlinear Dirichlet problem driven by the double phase differential operator and with a superlinear reaction which need not satisfy the Ambrosetti–Rabinowitz condition. Using the Nehari manifold, we show that the problem has at least three nontrivial bounded solutions: nodal, positive...

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Bibliographic Details
Main Authors: Beata Derȩgowska, Leszek Gasiński, Nikolaos S. Papageorgiou
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Symmetry
Subjects:
double phase operator
Nehari manifold
superlinear reaction
constant sign and nodal solutions
Musielak–Orlicz spaces
Online Access:https://www.mdpi.com/2073-8994/13/9/1556

Internet

https://www.mdpi.com/2073-8994/13/9/1556

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