Infinitely many positive solutions for a double phase problems involving the double phase operator
DOI:
https://doi.org/10.12775/TMNA.2024.013Keywords
Double phase operator, oscillatory nonlinearities, infinitely many positive solutions, variational principleAbstract
In this paper we study a double phase problem which involves the double phase operator, and the nonlinear term has an oscillatory behavior. By using variational methods and the theory of the Musielak-Orlicz-Sobolev space, we establish the existence of infinitely many solutions whose $W_0^{1,H}(\Omega)$-norms tend to zero (to infinity, respectively) whenever the nonlinearity oscillates at zero (at infinity, respectively).References
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Copyright (c) 2024 Chunbo Lian, Bin Ge, Qinghai Cao, Yu Zhang
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