Interior and Boundary Regularity of Mixed Local Nonlocal Problem with Singular Data and Its Applications

R Dhanya, J Giacomoni, R Jana - arXiv preprint arXiv:2411.18505, 2024 - arxiv.org
In this article, we examine the H\" older regularity of solutions to equations involving a mixed
local-nonlocal nonlinear nonhomogeneous operator $(-\Delta) _ {p}+(-\Delta) _ {q}^{s} …

On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters

N Biswas, F Sk - Proceedings of the Royal Society of Edinburgh …, 2022 - cambridge.org
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two
parameters Page 1 Proceedings of the Royal Society of Edinburgh, page 1 of 46 DOI:10.1017/prm.2023.134 …

Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations

P Garain - arXiv preprint arXiv:2407.17928, 2024 - arxiv.org
This article is twofold. In the first part of the article, we consider Brezis-Oswald problem
involving the mixed anisotropic and nonlocal $ p $-Laplace operator and establish …

Uniqueness of Positive Solutions to Non-Local Problems of Brézis–Oswald Type Involving Hardy Potentials

YH Kim - Mathematics, 2025 - mdpi.com
The aim of this paper is to demonstrate the existence of a unique positive solution to non-
local fractional p-Laplacian equations of the Brézis–Oswald type involving Hardy potentials …

[PDF][PDF] Qualitative properties of solutions for quasi-linear elliptic and parabolic problems: non-locality and singularity

A GOUASMIA - 2022 - researchgate.net
• Dans le dernier chapitre, nous étudions les systèmes singuliers impliquant des opérateurs
non linéaires et non locaux. Nous montrons d'abord la non-existence de solutions …