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一类Kirchhoff型方程解的多重性
Multiplicity of Solutions of Kirchhoff Type of Equations
【摘要】 考虑一类Kirchhoff型方程解的多重性,利用非线性项在无穷远处与零点处的渐近行为及Ekeland变分原理和山路定理得到了所考虑方程的两个正解和两个负解.
【Abstract】 The authors dealt with the multiplicity of solutions of Kirchhoff type of equations.Using the asymptotic properties of the nonlinearity at infinity and zero,we obtained two positive solutions and two negative solutions by means of the Ekeland variational principle and mountain pass theorem.
【关键词】 多重性;
正解;
负解;
Kirchhoff型方程;
【Key words】 multiplicity; positive solutions; negative solutions; Kirchhoff type equations;
【Key words】 multiplicity; positive solutions; negative solutions; Kirchhoff type equations;
【基金】 吉林省自然科学基金(批准号:20101521);吉林省青年科研基金(批准号:201201095)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2013年02期
- 【分类号】O175.25
- 【被引频次】1
- 【下载频次】54