Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (1): 1-8.
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LIU Xian, GAO Wenjie, HAN Yuzhu
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Abstract: We considered the multiplicity of weak solutions for a class of p-Laplacian elliptic equations with signchanging weight function. By means of Nehari’s manifold and logarithmic Sobolev inequality, we proved that there were at least two nontrivial weak solutions to the problem.
Key words: signchanging weight function, multiplicity, Nehari’s manifold
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LIU Xian, GAO Wenjie, HAN Yuzhu. Multiplicity of Weak Solutions for a Class of p-LaplacianElliptic Equations with SignChanging Weight Function#br#[J].Journal of Jilin University Science Edition, 2019, 57(1): 1-8.
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