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- W2042224255 abstract "Consider a class of p(x)-Kirchhoff type equations of the form <TEX>$$left{-Mleft({int}_{Omega};frac{1}{p(x)}{mid}{nabla}u{mid}^{p(x)};dxright);div;({mid}{nabla}u{mid}^{p(x)-2}{nabla}u)={lambda}V(x){mid}u{mid}^{q(x)-2}u;in;{Omega},u=0;on;{partial}{Omega},$$</TEX> where p(x), <TEX>$q(x){in}C({bar{Omega}})$</TEX> with 1 < <TEX>$p^-;:=inf_{Omega};p(x){leq}p^+;:=sup_{Omega}p(x)$</TEX> < N, <TEX>$M:{mathbb{R}}^+{rightarrow}{mathbb{R}}^+$</TEX> is a continuous function that may be degenerate at zero, <TEX>${lambda}$</TEX> is a positive parameter. Using variational method, we obtain some existence and multiplicity results for such problem in two cases when the weight function V (x) may change sign or not." @default.
- W2042224255 created "2016-06-24" @default.
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- W2042224255 date "2014-01-30" @default.
- W2042224255 modified "2023-10-16" @default.
- W2042224255 title "ON SOME p(x)-KIRCHHOFF TYPE EQUATIONS WITH WEIGHTS" @default.
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- W2042224255 doi "https://doi.org/10.14317/jami.2014.113" @default.
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