具有不定位势的渐近线性Dirichlet问题

Asymptotically linear Dirichlet problem with indefinite potential

利用山路引理及极小作用原理,证明具有不定位势的渐近线性Dirichlet问题,当非线性项在无穷远处满足一定的渐近线性条件时,存在非平凡解.

By using mountain pass and least action theorems,the existence of nontrivial solution was obtained for a class of asymptotically linear Dirichlet problem with indefinite potential when the nonlinear term satisfied a certain asymptotically linear condition at infinity.