论文标题
在Sobolev-Orlicz空间中具有可变指数的Sobolev-Orlicz空间中的单个双相的解决方案的存在
Existence of solutions for a singular double phase in Sobolev-Orlicz spaces with variable exponents in a complete manifold
论文作者
论文摘要
本文的目的是研究一类双相问题，右侧具有单数项和超线性参数项。使用Nehari歧管的方法与光纤图相结合，我们证明，对于参数λ> 0的所有小值，至少存在两个非平凡的阳性溶液。我们的结果从Musielak-Orlicz Sobolev Space不变时，将先前的作品扩展了Papageorgiou，Repovus和Vetro [24]和Liu，dai，dai，papageorgiou和Winkert [21] [21]。
The purpose of this paper is to study a class of double phase problems, with a singular term and a superlinear parametric term on the right-hand side. Using the method of Nehari manifold combined with the fibering maps, we prove that for all small values of the parameter λ > 0, there exist at least two non-trivial positive solutions. Our results extend the previous works Papageorgiou, Repovus, and Vetro [24] and Liu, Dai, Papageorgiou, and Winkert [21], from the case of Musielak-Orlicz Sobolev space, when exponents p and q are constant, to the case of Sobolev-Orlicz spaces with variable exponents in a complete manifold.
