一类拟线性椭圆方程非平凡解的存在性

The Existence of Non-trivial Solutions for a Class of Quasilinear Elliptic Equations

利用局部极小定理证明了一类p-拉普拉斯方程非平凡解的存在性,其中非线性项在零点和无穷远点处都没有假设条件.

The existence of non-trivial solutions to a boundary value problem for p-Laplacian equations is established based on local minimum theorem.No asymptotic condition on the nonlinear term either at zero or at infinity is requested.