【摘要】 应用Clark定理和一些分析技巧讨论一类带有次临界指数的非线性基尔霍夫型问题:-（a+b∫_Ω|u|²dx）△u=λf（x,u）+|u|^p-2u（4<p<2^*）的无穷多解.当f（x,u）满足一定的条件时,问题存在无穷多解.更多还原

【Abstract】 Consider infinitely many solutions for a nonlinear equation with subcritical exponent:-（a+b∫_Ω|u|²dx）△u=λf（x,u）+|u|^p-2u（4<p<2^*）by Clark theorem and some analytical skill. Under certain assumptions on f（ x,u）,we prove that the problem has infinitely many solutions.更多还原