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
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.