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- W4291538911 abstract "<p style='text-indent:20px;'>Here, the anisotropic <inline-formula><tex-math id=M2>begin{document}$ (p, q) $end{document}</tex-math></inline-formula>-Laplacian <p style='text-indent:20px;'><disp-formula> <label/> <tex-math id=FE1> begin{document}$ - sumlimits_{i = 1}^Nfrac{partial}{partial x_i}left( left|frac{partial u}{partial x_i}right|^{p_i-2}frac{partial u}{partial x_i}right) - sumlimits_{i = 1}^Nfrac{partial}{partial x_i}left( left|frac{partial u}{partial x_i}right|^{q_i-2}frac{partial u}{partial x_i}right) = lambda u^{gamma-1} $end{document} </tex-math></disp-formula> <p style='text-indent:20px;'>is considered, where <inline-formula><tex-math id=M3>begin{document}$ Omega $end{document}</tex-math></inline-formula> is a bounded and regular domain of <inline-formula><tex-math id=M4>begin{document}$ mathbb{R}^N $end{document}</tex-math></inline-formula>, <inline-formula><tex-math id=M5>begin{document}$ q_ileq p_i $end{document}</tex-math></inline-formula> for <inline-formula><tex-math id=M6>begin{document}$ i = 1, cdots, N $end{document}</tex-math></inline-formula> and <inline-formula><tex-math id=M7>begin{document}$ gamma > 1 $end{document}</tex-math></inline-formula>. The existence of positive solution is proved via sub-supersolution method." @default.
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- W4291538911 date "2023-01-01" @default.
- W4291538911 modified "2023-09-30" @default.
- W4291538911 title "A positive solution for an anisotropic $ (p,q) $-Laplacian" @default.
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- W4291538911 doi "https://doi.org/10.3934/dcdss.2022147" @default.
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