Liouville-type theorem of positive periodic solutions for the periodic parabolic system
DOI10.1080/00036811.2022.2107915zbMath1523.35086OpenAlexW4290629747WikidataQ113853640 ScholiaQ113853640MaRDI QIDQ6055919
Publication date: 29 September 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2022.2107915
Pohozaev identityLeray-Schauder fixed point theoryblowing-up methodSobolev hyperbolaperiodic parabolic system
Periodic solutions to PDEs (35B10) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Initial-boundary value problems for second-order parabolic systems (35K51) Topological and monotonicity methods applied to PDEs (35A16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Liouville theorems, universal estimates and periodic solutions for cooperative parabolic Lotka-Volterra systems
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- The proof of the Lane-Emden conjecture in four space dimensions
- Classification of solutions of some nonlinear elliptic equations
- Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation
- On existence and nonexistence of positive solutions of an elliptic system with coupled terms
- Non-existence of positive solutions of Lane-Emden systems
- On the regularity of positive solutions of a class of Choquard type equations
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- Fractional dynamics of systems with long-range interaction
- Quasilinear Dirichlet problems driven by positive sources
- Sobolev hyperbola for periodic Lane-Emden heat flow system in N spatial dimension
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Non-local Dirichlet forms and symmetric jump processes
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Positive splutions of semilinear elliptic systems
- Singular curve and critical curve for doubly nonlinear Lane–Emden type equations
- Symmetry and nonexistence of positive solutions for an elliptic system involving the Fractional Laplacian
- Sobolev hyperbola for the periodic parabolic Lane–Emden system
This page was built for publication: Liouville-type theorem of positive periodic solutions for the periodic parabolic system
