论文标题
在渐近线性椭圆问题上
On asymptotically linear elliptic problems
论文作者
论文摘要
在本文中，我们证明了一类渐近线性椭圆形问题在山间通过级别中存在签名的基态解决方案，即使在第二个变量中非线性只是连续的。讨论了（强烈的）共振和非谐振病例。当$ f $相对于第二个变量奇怪时，也证明了多重结果。
In this paper we prove the existence of a signed ground state solution in the mountain pass level for a class of asymptotically linear elliptic problems, even when the nonlinearity is just continuous in the second variable. The (strongly) resonant and non-resonant cases are discussed. A multiplicity result is also proved when $f$ is odd with respect to the second variable.
