具有渐近线性的非线性项的Hardy类非齐次椭圆问题的多个解

On Multiple Solutions for Hardy Type Nonhomogeneous Elliptic Problems with Asymptotically Linear Nonlinearity

用临界点理论中的Ekeland变分原理和山路引理得到具有Hardy项及在原点和无穷远点都是渐近线性的非齐次项的半线性椭圆方程两个非平凡解的存在性结果.

Some existence of two different nontrivial solutions are obtained for solutions of semilinear ellip-tic nonhomogeneous equations with Hardy terms and the general symptotically linear nonlinearity which is asymptotically linear at zero and at infinity by means of the Ekeland’s variational principle and the Moun-tain Pass Theorem in critical point theory.