Abstract The use of the fractional Laplacian in image denoising and regularization inverse problems has enjoyed a recent surge popularity, since for discontinuous functions it can behave less aggressively than methods based on H 1 norms, while being linear computable with fast spectral numerical methods. In this work, we examine regularized vanishing noise parameter regime. clean data is assume...

We study generalized fractional p-Laplacian equations to prove local boundedness and Hölder continuity of weak solutions such nonlocal problems by finding a suitable Sobolev-Poincaré inquality.

In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the (–Δ + m2)s and Laplacian (Δ λ)β/2, we consider model involving logarithmic nonlinearity. We first establish maximum principle boundary estimate, which play very crucial role in later process. Then obtain radial symmetry monotonicity results using direct method of moving pla...