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- W4285195440 abstract "<p style='text-indent:20px;'>We consider a nonlinear anisotropic Dirichlet problem with a reaction that has the combined effects of three distinct nonlinearities: a parametric singular term, a parametric concave term (the parameter <inline-formula><tex-math id=M1>begin{document}$ lambda>0 $end{document}</tex-math></inline-formula> is the same in both) and a nonparametric convex perturbation. So, the problem is a singular version of the well known concave-convex problem. We prove an existence and multiplicity result which is global in the parameter <inline-formula><tex-math id=M2>begin{document}$ lambda>0 $end{document}</tex-math></inline-formula> (a bifurcation-type theorem). We also indicate some small improvements in the case of <inline-formula><tex-math id=M3>begin{document}$ (p(z),q(z)) $end{document}</tex-math></inline-formula> and <inline-formula><tex-math id=M4>begin{document}$ p(z) $end{document}</tex-math></inline-formula>-equations." @default.
- W4285195440 created "2022-07-14" @default.
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- W4285195440 date "2023-01-01" @default.
- W4285195440 modified "2023-09-25" @default.
- W4285195440 title "Singular equations with variable exponents and concave-convex nonlinearities" @default.
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- W4285195440 doi "https://doi.org/10.3934/dcdss.2022135" @default.
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