GROUND STATE SOLUTION FOR A CLASS FRACTIONAL HAMILTONIAN SYSTEMS
DOI10.11948/2018.620zbMath1459.37055OpenAlexW2783188290MaRDI QIDQ5147904
Chun-Lei Tang, Ying Lv, Bo-ling Guo
Publication date: 29 January 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2018.620
ground stateconcentration-compactness principlefractional Hamiltonian systemslocal mountain pass theorem
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional ordinary differential equations (34A08) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)
Related Items (1)
Cites Work
- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems
- 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
- Quasilinear asymptotically periodic elliptic equations with critical growth
- On a class of nonlinear Schrödinger equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Homoclinic orbits for a class of fractional Hamiltonian systems via variational methods
- Minimax theorems
- Linear and quasilinear elliptic equations
- Infinitely many solutions for a class of fractional Hamiltonian systems via critical point theory
- Variational approach to solutions for a class of fractional Hamiltonian systems
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
- Advances in Fractional Calculus
- Variational formulation for the stationary fractional advection dispersion equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: GROUND STATE SOLUTION FOR A CLASS FRACTIONAL HAMILTONIAN SYSTEMS