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- W4283069596 abstract "We study a class of $p(x)$-Kirchhoff problems which is seldom studied because the nonlinearity has nonstandard growth and contains a bi-nonlocal term. Based on variational methods, especially the Mountain pass theorem and Ekeland's variational principle, we obtain the existence of two nontrivial solutions for the problem under certain assumptions. We also apply the Symmetric mountain pass theorem and Clarke's theorem to establish the existence of infinitely many solutions. Our results generalize and extend several existing results." @default.
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- W4283069596 date "2023-01-01" @default.
- W4283069596 modified "2023-09-30" @default.
- W4283069596 title "Existence and multiplicity of solutions involving the $ p(x) $-Laplacian equations: On the effect of two nonlocal terms" @default.
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- W4283069596 doi "https://doi.org/10.3934/dcdss.2022129" @default.
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