Solutions of stationary Kirchhoff equations involving nonlocal operators with critical nonlinearity in RN
DOI10.15388/NA.2017.5.3zbMath1421.35066OpenAlexW2794028963MaRDI QIDQ4968156
Sihua Liang, Ziwei Piao, Chenxing Zhou
Publication date: 12 July 2019
Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15388/na.2017.5.3
variational methodcritical nonlinearityfractional Schrödinger equationsexistence and multiplicity of solutions
Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
- Ground states for fractional Schrödinger equations involving a critical nonlinearity
- On some critical problems for the fractional Laplacian operator
- Hitchhiker's guide to the fractional Sobolev spaces
- Infinitely many weak solutions for a fractional Schrödinger equation
- A critical fractional equation with concave-convex power nonlinearities
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Sequences of weak solutions for fractional equations
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Fractional quantum mechanics and Lévy path integrals
- On the existence of solutions for the critical fractional Laplacian equation in \(\mathbb{R}^N\)
- Minimax theorems
- Higher nonlocal problems with bounded potential
- Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\)
- A critical Kirchhoff type problem involving a nonlocal operator
- Solutions of perturbed Schrödinger equations with critical nonlinearity
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- A multiplicity result for nonlocal problems involving nonlinearities with bounded primitive
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Variational Methods for Nonlocal Fractional Problems
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
- Ground states and concentration phenomena for the fractional Schrödinger equation
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground states for fractional Schrödinger equations with critical growth
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
This page was built for publication: Solutions of stationary Kirchhoff equations involving nonlocal operators with critical nonlinearity in RN
