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- W2078341070 abstract "This paper is concerned with the existence and multiplicity of weak solutions for a $p(x)$-Kirchhoff type problem of the following form $$ left{ begin{alignedat}{2} Mleft(int_{Omega}frac{1}{p(x)}|Delta u|^{p(x)},dxright)Delta(|Delta u|^{p(x)-2}Delta u) &=f(x,u)& &text{ in } Omega u&=Delta u =0 &quad &textrm{ on } partialOmega, end{alignedat}right. $$ by using the mountain pass theorem of Ambrosetti and Rabinowitz and Ekeland's variational principle in two cases when the Carath'{e}odory function $f(x,u)$ having special structure." @default.
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- W2078341070 date "2014-01-01" @default.
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- W2078341070 title "Existence and Multiplicity of Solutions for Kirchhoff Type Problems Involving $p(x)$-Biharmonic Operators" @default.
- W2078341070 doi "https://doi.org/10.4171/zaa/1512" @default.
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