R^N上一类半线性椭圆方程组的多重解(英文)

Multiple Solutions for a Class of Semilinear Elliptic Systems in R^N

利用对称山路引理,L2(RN)上加权Sobolev空间紧嵌入定理和一个线性耦合特征值问题,本文证明了RN上一类半线性椭圆方程组的多重解的存在性.

Using symmetric Mountain Pass Lemma, a compact embedding of a suitable weighted Sobolev space in L^2 （R^N） and a linear interchanged eigenvalue problem, we prove the existence of multiple solutions for a class of semilinear elliptic systems in R^N.