Two weak solutions for perturbed non-local fractional equations

DOI10.1080/00036811.2014.907400zbMath1321.35255OpenAlexW1968393046MaRDI QIDQ5249950

Massimiliano Ferrara, Binlin Zhang

Publication date: 13 May 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.907400

zbMATH Keywords

variational methodsintegro-differential operatorsfractional Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Singular nonlinear integral equations (45G05) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (8)

Multiple solutions for a binonlocal fractional \(p(x,\cdot)\)-Kirchhoff type problem ⋮ Multiplicity result for non-homogeneous fractional Schrodinger-Kirchhoff-type equations in \(\mathbb{R}^n\) ⋮ Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\) ⋮ Existence of weak solutions for a fractional \(p\)-Laplacian equation in \(\mathbb R^N\) ⋮ Nonlinear fractional equations with supercritical growth ⋮ Existence of infinitely many solutions for fractional \(p\)-Laplacian Schrödinger-Kirchhoff type equations with sign-changing potential ⋮ Continuum of positive solutions of superlinear fractional Laplacian problems ⋮ Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem

Cites Work

• Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
• A resonance problem for non-local elliptic operators
• On some critical problems for the fractional Laplacian operator
• Hitchhiker's guide to the fractional Sobolev spaces
• The Brezis-Nirenberg type problem involving the square root of the Laplacian
• Solutions of a pure critical exponent problem involving the half-Laplacian in annular-shaped domains
• Mountain pass solutions for non-local elliptic operators
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Multiple solutions for two nonlinear problems involving the \(p\)-Laplacian
• Two nontrivial solutions for hemivariational inequalities driven by nonlocal elliptic operators
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Fractional equations with bounded primitive
• On the generalized Apostol-type Frobenius-Euler polynomials
• Multiple solutions for a class of elliptic hemivariational inequalities
• Weak and viscosity solutions of the fractional Laplace equation
• Existence of Two Solutions for a Second-Order Discrete Boundary Value Problem

This page was built for publication: Two weak solutions for perturbed non-local fractional equations