Three weak solutions for a Neumann elliptic equations involving the p→(x)\vec p\left( x \right)-Laplacian operator
The aim of this paper is to establish the existence of at least three weak solutions for the following elliptic Neumann problem {-Δp→(x)u+α(x)|u|p0(x)-2u=λf(x,u)inΩ,∑i=1N|∂u∂xi|pi(x)-2∂u∂xiγi=0on∂Ω,\left\{ {\matrix{ { - {\Delta _{\vec p\left( x \right)}}u + \alpha \left( x \right){{\left| u \right|...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-12-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2020-0118 |