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- W3102632985 abstract "In this article, we study the existence and multiplicity of solutions of the following $(p,q)$-Laplace equation with singular nonlinearity: begin{equation*} left{begin{array}{rllll} -Delta_{p}u-baDelta_{q}u & = la u^{-de}+ u^{r-1}, u>0, text{ in } Om u&=0 quad text{ on } paOm, end{array} right. end{equation*} where $Om$ is a bounded domain in $mathbb{R}^n$ with smooth boundary, $1< q< p<r leq p^{*}$, where $p^{*}=ds frac{np}{n-p}$, $0<de< 1$, $n> p$ and $la,, ba>0$ are parameters. We prove existence, multiplicity and regularity of weak solutions of $(P_la)$ for suitable range of $la$. We also prove the global existence result for problem $(P_la)$." @default.
- W3102632985 created "2020-11-23" @default.
- W3102632985 creator A5031333422 @default.
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- W3102632985 date "2020-05-27" @default.
- W3102632985 modified "2023-10-15" @default.
- W3102632985 title "Singular elliptic problems with unbalanced growth and critical exponent" @default.
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- W3102632985 doi "https://doi.org/10.1088/1361-6544/ab81ed" @default.
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