Mixed local and nonlocal Dirichlet $(p,q)$-eigenvalue problem

Prashanta Garain; Alexander Ukhlov

doi:https://doi.org/10.48550/arxiv.2303.03054

Mixed local and nonlocal Dirichlet $(p,q)$-eigenvalue problem

Prashanta Garain, Alexander Ukhlov · arXiv (Cornell University) · 2023

In this article, we consider the spectral problem for the mixed local and nonlocal $p$-Laplace operator. We discuss the existence and regularity of eigenfunction of the associated Dirichlet $(p,q)$-eigenvalue problem in a bounded domain $Ω\subset\mathbb{R}^N$ under the assumption that $1

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