【摘要】 考虑了一类与Caffarelli-Kohn-Nirenberg不等式有关的奇异椭圆型方程(?)利用Ljusternik-Schnirelaman理论及一个Pohozaev型恒等式,证明了上述方程变号解的存在性及非存在性.更多还原

【Abstract】 We consider the following singular elliptic equation-div(|x|^-2a▽_u)-μu/(|x|^2（1+a）)=(|u|^p-2u)/(|x|^bp)+λu/(|x|^dD),which involves the Caffarelli-Kohn-Nirenberg inequalities.By virtue of the LjusternikSchnirelaman theory and a Pohozaev-type identity,we obtain the existence and nonexistence results of sing-changing solutions for the above problem.更多还原