A singular system involving the fractional \(p\)-Laplacian operator via the Nehari manifold approach

DOI10.1007/s11785-018-0809-2zbMath1419.35223OpenAlexW2807206906MaRDI QIDQ2312997

Kamel Saoudi

Publication date: 18 July 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0809-2

zbMATH Keywords

multiple positive solutionsNehari manifoldfractional \(p\)-Laplace operatorsingular elliptic system

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Fractional partial differential equations (35R11)

Related Items

Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis ⋮ Critical fractional \(p\)-Laplacian system with negative exponents ⋮ A multiplicity results to a p-q Laplacian system with a concave and singular nonlinearities ⋮ Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold ⋮ UNIQUENESS AND EXISTENCE OF SOLUTIONS FOR A SINGULAR SYSTEM WITH NONLOCAL OPERATOR VIA PERTURBATION METHOD ⋮ Nehari manifold for weighted singular fractional \(p\)-Laplace equations ⋮ Multiplicity of solutions for a singular system involving the fractional \(p\)-\(q\)-Laplacian operator and sign-changing weight functions

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