Existence of solutions for fractional \(p\)-Laplacian problems via Leray-Schauder's nonlinear alternative

DOI10.1186/s13661-016-0593-8zbMath1338.35479OpenAlexW2341717025WikidataQ59467536 ScholiaQ59467536MaRDI QIDQ276385

Hong Qiu, Mingqi Xiang

Publication date: 3 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0593-8

zbMATH Keywords

fractional \(p\)-Laplacian equationintegro-differential operatorLeray-Schauder alternative theorem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items

Existence of a mountain pass solution for a nonlocal fractional \((p, q)\)-Laplacian problem ⋮ EXISTENCE RESULTS FOR FRACTIONAL P-LAPLACIAN SYSTEMS VIA YOUNG MEASURES ⋮ On fractional p-Laplacian type equations with general nonlinearities ⋮ Ground state solutions of Schrödinger system with fractional \(p\)-Laplacian ⋮ Solvability of a nonlocal fractional \(p\)-Kirchhoff type problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence results for fractional \(p\)-Laplacian problems via Morse theory
• A variational inequality involving nonlocal elliptic operators
• Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
• Hitchhiker's guide to the fractional Sobolev spaces
• Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
• Sequences of weak solutions for fractional equations
• Mountain pass solutions for non-local elliptic operators
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• Ground state solutions of scalar field fractional Schrödinger equations
• Existence of solutions for perturbed fractional \(p\)-Laplacian equations
• A fixed point method for the \(p(\cdot\))-Laplacian
• Fractional quantum mechanics and Lévy path integrals
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Variational methods for non-local operators of elliptic type
• On doubly nonlocal fractional elliptic equations
• Asymptotic behaviour of a porous medium equation with fractional diffusion
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• Existence results for nonlinear elliptic problems on fractal domains
• A critical Kirchhoff type problem involving a nonlocal operator
• Non-local Diffusions, Drifts and Games
• Nonlinear Diffusion with Fractional Laplacian Operators
• Variational Methods for Nonlocal Fractional Problems
• Existence and Non-Existence Results for Quasilinear Elliptic Exterior Problems with Nonlinear Boundary Conditions
• Nonlocal minimal surfaces
• Lévy Processes and Stochastic Calculus
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Existence and localization of solutions for nonlocal fractional equations
• Multiple solutions for elliptic equations involving a general operator in divergence form