A fractional Kirchhoff-type problem in ℝNwithout the (AR) condition
From MaRDI portal
Publication:2816594
DOI10.1080/17476933.2016.1182519zbMath1344.35170OpenAlexW2399355335MaRDI QIDQ2816594
Mingqi Xiang, Binlin Zhang, Miaomiao Yang
Publication date: 25 August 2016
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2016.1182519
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Related Items (5)
Multiple solutions of fractional Kirchhoff equations involving a critical nonlinearity ⋮ Fractional Kirchhoff equation with a general critical nonlinearity ⋮ Schrödinger-Kirchhoff-Hardy \(p \)-fractional equations without the Ambrosetti-Rabinowitz condition ⋮ Fractional weighted \(p\)-Kirchhoff equations with general nonlinearity ⋮ Existence and non-existence results for fractional Kirchhoff Laplacian problems
Cites Work
- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of a positive solution to Kirchhoff-type problems without compactness conditions
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- 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
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
- On superlinear problems without the Ambrosetti and Rabinowitz condition
- The existence of surfaces of constant mean curvature with free boundaries
- Symétrie et compacité dans les espaces de Sobolev
- Fractional quantum mechanics and Lévy path integrals
- \(1/2\)-Laplacian problems with exponential nonlinearity
- Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- A critical Kirchhoff type problem involving a nonlocal operator
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Non-local Diffusions, Drifts and Games
- Wang’s multiplicity result for superlinear $(p,q)$–equations without the Ambrosetti–Rabinowitz condition
- Degenerate Kirchhoff problems involving the fractionalp-Laplacian without the (AR) condition
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Variational Methods for Nonlocal Fractional Problems
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- On the Ambrosetti-Rabinowitz Superlinear Condition
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- A bifurcation result for non-local fractional equations
- Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- An Extension Problem Related to the Fractional Laplacian
- Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation
This page was built for publication: A fractional Kirchhoff-type problem in ℝNwithout the (AR) condition