带有临界指标的p&q-laplacian方程的无穷个小解的存在性

Multiple Small Solutions for the p&q-laplacian Problem with Critical Exponent

研究一类具有临界Sobolev指标的p&q-laplacian方程,证明存在一个λ*,使得λ∈(0,λ)*时,上述方程有无穷多个小解。

This paper study the nonlinear elliptic problem of p＆q-laplacian type involving the critical Sobolev exponent , there is a λ^＊ ,such that for any A ∈ （0, λ^＊）, the above mentioned problem possesses infinitely many small solutions.