Existence and multiplicity results for parameter Kirchhoff double phase problem with Hardy–Sobolev exponents

作者：Yu Cheng, Zhanbing Bai · 发表于：Journal of Mathematical Physics · 年份：2024 · DOI：10.1063/5.0169972 · 被引用次数：9 · 研究领域：Nonlinear Partial Differential Equations、Advanced Mathematical Modeling in Engineering、Numerical methods in engineering

The solvability of a class of parameter Kirchhoff double phase Dirichlet problems with Hardy–Sobolev terms is considered. We focus on the existence of at least one solution, two solutions, three solutions, and infinitely many solutions to the problem, as the nonlinear terms satisfy different growth conditions, respectively. Our tools are mainly based on variational methods and critical point theory. In particular, in order to establish the relationship between singular terms and the norm of the Musielak–Orlicz–Sobolev space, we extend the Sobolev–Hardy inequality from W01,p to W01,H.