By an application of Bonanno's three critical point theorem, we establish the existence of a nontrivial solution to the problem -Delta(p)u = mu g(x)vertical bar u vertical bar(p-2)u/vertical bar x vertical bar(p) + lambda a(x)f(u) in Omega, u = 0 on partial derivative Omega, under some restrictions on g, a and f for certain positive values of mu and lambda.
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Su, You-Hui
Li, Wan-Tong
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Li, Wan-Tong
Sun, Hong-Rui
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaLanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China