论文标题

双相知更蛋白问题的存在和多重解决方案

Existence and multiplicity of solutions for double-phase Robin problems

论文作者

Papageorgiou, Nikolaos S., Rădulescu, Vicenţiu D., Repovš, Dušan D.

论文摘要

我们考虑了与carathéodory非线性的双相知更差问题。当反应是超级线性的,但没有满足Ambrosetti-Rabinowitz条件,我们证明了存在定理。当反应是谐振剂时,我们证明了多重性定理。我们的方法是使用同源局部联系的概念,是摩尔斯理论。

We consider a double phase Robin problem with a Carathéodory nonlinearity. When the reaction is superlinear but without satisfying the Ambrosetti-Rabinowitz condition, we prove an existence theorem. When the reaction is resonant, we prove a multiplicity theorem. Our approach is Morse theoretic, using the notion of homological local linking.

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