A multiplicity result for double phase problem in the whole space

In the present paper, we discuss the solutions of the following double phase problem $ -{\rm div}(|\nabla u|^{^{p-2}}\nabla u+ \mu(x) |\nabla u|^{^{q-2}}\nabla u)+ |u|^{^{p-2}}u+\mu(x)|u|^{^{q-2}}u = f(x, u), \;x\in \mathbb{R}^N, $ where $ N \geq2 $, $ 1 < p < q < N $...

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Bibliographic Details
Main Authors: Yanfeng Li, Haicheng Liu
Format: Article
Language:English
Published: AIMS Press 2022-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022963?viewType=HTML