Affiliation:
1. College of Mathematics and Systems Science, Shandong University of Science and Technology , Qingdao 266590, People’s Republic of China
Abstract
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.
Funder
National Natural Science Foundation of China
Shandong Natural Science Foundation of China
Taishan Scholar project of China
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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