本文研究了一类具有对数非线性的Kirchhoff-Choquard方程解的存在性。利用经典山路引理,证明了相应的能量泛函具有山路结构,且满足PS条件,从而方程至少存在一个非平凡解。In this article, the existence of solutions to a Kirchhoff-C...本文研究了一类具有对数非线性的Kirchhoff-Choquard方程解的存在性。利用经典山路引理,证明了相应的能量泛函具有山路结构,且满足PS条件,从而方程至少存在一个非平凡解。In this article, the existence of solutions to a Kirchhoff-Choquard equation with logarithmic nonlinearities is studied. By using the classical mountain pass lemma, we proved that the energy functional of the problem has a mountain pass structure and satisfies the PS condition, so the studies problem admits at least a nontrivial solution.展开更多
文摘本文研究了一类具有对数非线性的Kirchhoff-Choquard方程解的存在性。利用经典山路引理,证明了相应的能量泛函具有山路结构,且满足PS条件,从而方程至少存在一个非平凡解。In this article, the existence of solutions to a Kirchhoff-Choquard equation with logarithmic nonlinearities is studied. By using the classical mountain pass lemma, we proved that the energy functional of the problem has a mountain pass structure and satisfies the PS condition, so the studies problem admits at least a nontrivial solution.
