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Existence theorems for fractional p-Laplacian problems

Analysis and Applications, 2016
The paper focuses on the existence of nontrivial solutions of a nonlinear eigenvalue perturbed problem depending on a real parameter [Formula: see text] under homogeneous boundary conditions in bounded domains with Lipschitz boundary. The problem involves a weighted fractional [Formula: see text]-Laplacian operator.
P. Piersanti, PUCCI, Patrizia
openaire   +2 more sources

On a Fractional p-Laplacian Equation with Critical Fractional Sobolev Exponent

Mediterranean Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saifia, Ouarda, Vélin, Jean
openaire   +1 more source

On a Fractional p-Laplacian Problem with Discontinuous Nonlinearities

Mediterranean Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Achour, Hanaâ, Bensid, Sabri
openaire   +2 more sources

Hardy‐Type p‐Laplacian Fractional Differential Equations

Mathematical Methods in the Applied Sciences
ABSTRACTIn this work, we study the existence and nonexistence of solutions to fractional Dirichlet boundary value problems with ‐Hilfer fractional derivatives, ‐Laplacian, and Hardy‐type singularity term using variational methods.
Nemat Nyamoradi   +1 more
openaire   +1 more source

Parabolic p-Laplacian revisited: Global regularity and fractional smoothness

Communications in Contemporary Mathematics, 2019
This paper presents an investigation on the existence, fractional and classical regularity in vector-valued Banach spaces for the solutions of a family of evolutive [Formula: see text]-Laplacian-like equations subject to Neumann boundary conditions. Global space-time regularity to the solution and its time derivative in Nikolskii and Slobodeckii spaces
de Miranda, Luís H., Planas, Gabriela
openaire   +2 more sources

What is the fractional Laplacian? A comparative review with new results

Journal of Computational Physics, 2020
Guofei Pang   +2 more
exaly  

Fractional centered difference scheme for high-dimensional integral fractional Laplacian

Journal of Computational Physics, 2021
Zhaopeng Hao, Zhongqiang Zhang
exaly  

An Extension Problem Related to the Fractional Laplacian

Communications in Partial Differential Equations, 2007
Luis Caffarelli, Luis Silvestre
exaly  

Fractional Laplacian in conformal geometry

Advances in Mathematics, 2011
Maria Del Mar Gonzalez Nogueras
exaly  

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