Weak solution for fractional \((p_1,\dots,p_m)\)-Laplacian system with Dirichlet-type boundary conditions

DOI10.1007/S12215-020-00573-8zbMath1477.35303OpenAlexW3097308384MaRDI QIDQ2243664

Hamad Talibi Alaoui, Abdelali Sabri, Ahmed Jamea

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00573-8

zbMATH Keywords

uniquenessfractional \(p\)-Laplacianfractional Sobolev space

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

WEAK SOLUTION FOR NONLINEAR FRACTIONAL P(.)-LAPLACIAN PROBLEM WITH VARIABLE ORDER VIA ROTHE'S TIME-DISCRETIZATION METHOD ⋮ Small perturbations of critical nonlocal equations with variable exponents

Cites Work

• Unnamed Item
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• Hitchhiker's guide to the fractional Sobolev spaces
• Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
• Mountain pass solutions for non-local elliptic operators
• Semilinear Dirichlet problem for the fractional Laplacian
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• A weak solution to quasilinear elliptic problems with perturbed gradient
• Fractional double-phase patterns: concentration and multiplicity of solutions
• Nonlocal time-porous medium equation: weak solutions and finite speed of propagation
• Existence of solutions for generalized \(p(x)\)-Laplacian systems
• Non-local Diffusions, Drifts and Games
• Nontrivial solutions for a fractional p-Laplacian problem via Rabier Theorem
• Variational Methods for Nonlocal Fractional Problems
• Lévy Processes and Stochastic Calculus
• Existence of weak solutions for fractional p-Laplacian problem with Dirichlet-type boundary condition

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