一类Dirichlet问题的非平凡解

The Existence of Nontrivial Solution about a Particular Dirichlet Problem

考虑一类特殊的D irich let问题,即非线性项在负无穷远处为渐近线性,而在正无穷远处为超线性,并通过一定的技巧证明获得了该问题非平凡解的存在性.

We consider a particular Dirichlet problem. This means that the nonlinear term is superlinear at the positive infinity but asymptotically linear at the negative infinity. We obtained the existence of nontrivial solution about this problem by using certain skills.