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- W2962704872 abstract "In this paper, we study the mixed dispersion fourth order nonlinear Helmholtz equation $Delta^2 u -beta Delta u + alpha u= Gamma|u|^{p-2} u$ in $mathbb R^N$ for positive, bounded and $mathbb Z^N$-periodic functions $Gamma$. Using the dual method of Evequoz and Weth, we find solutions to this equation and establish some of their qualitative properties." @default.
- W2962704872 created "2019-07-30" @default.
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- W2962704872 date "2018-11-28" @default.
- W2962704872 modified "2023-10-16" @default.
- W2962704872 title "On a fourth‐order nonlinear Helmholtz equation" @default.
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- W2962704872 doi "https://doi.org/10.1112/jlms.12196" @default.
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