On $(p,q)$-eigenvalues of the weighted $p$-Laplace operator in outward Hölder cuspidal domains

Abstract

In this paper, we will study Neumann $(p,q)$-eigenvalue problem for the weighted $p$-Laplace operator in outward Hölder cuspidal domains. The suggested method is based on the composition operators on weighted Sobolev spaces.

19 pages. arXiv admin note: text overlap with arXiv:2301.11037