Existence and asymptotic behavior of positive ground state solutions for coupled nonlinear fractional Kirchhoff-type systems
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Publication:2203719
DOI10.1016/j.camwa.2018.09.020zbMath1442.35503OpenAlexW2894445883MaRDI QIDQ2203719
Publication date: 2 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.09.020
asymptotic behaviorBerestycki-Lions conditionsPohožaev identityfractional Kirchhoff-type systempositive vector solutions
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Related Items
Multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions, Unnamed Item, Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling, Existence and nonexistence of solutions for a class of Kirchhoff type equation involving fractional \(p\)-Laplacian, Normalized solutions for nonlinear fractional Kirchhoff type systems, Existence and concentration of solutions for the sublinear fractional Schrödinger-Poisson system
Cites Work
- Multiplicity of small negative-energy solutions for a class of semilinear elliptic systems
- High energy solutions of systems of Kirchhoff-type equations on \(\mathbb R^N\)
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Hitchhiker's guide to the fractional Sobolev spaces
- Positive solutions of asymptotically linear equations via Pohozaev manifold
- On the positive vector solutions for nonlinear fractional Laplacian systems with linear coupling
- Semiclassical states for weakly coupled fractional Schrödinger systems
- On coupled systems of Schrödinger equations
- Ground state solutions for resonant cooperative elliptic systems with general superlinear terms
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Positive solutions for a weakly coupled nonlinear Schrödinger system
- Least energy solutions for a weakly coupled fractional Schrödinger system
- Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)
- An existence result for a fractional Kirchhoff-Schrödinger-Poisson system
- Ground state solutions for a class of semilinear elliptic systems with sum of periodic and vanishing potentials
- Multiple solutions for asymptotically quadratic and superquadratic elliptic system of Hamiltonian type
- Infinitely many solutions of systems of Kirchhoff-type equations with general potentials
- Existence and multiplicity of solutions for asymptotically linear nonperiodic Hamiltonian elliptic system
- Existence of solutions for periodic elliptic system with general superlinear nonlinearity
- Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\)
- Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension
- Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- A critical Kirchhoff type problem involving a nonlocal operator
- Ground state solutions for asymptotically periodic coupled Kirchhoff-type systems with critical growth
- On linearly coupled Schrödinger systems
- High energy solutions of systems of Kirchhoff-type equations in R N
- Ground state solutions of Nehari-Pankov type for a superlinear elliptic system on RN
- Existence and multiplicity of systems of Kirchhoff-type equations with general potentials
- A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity
- A remark on least energy solutions in $\mathbf {R}^N$
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
