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Zhang, Rong; Chen, Qinghua

Liouville-type theorem of positive periodic solutions for the periodic parabolic system. (English) Zbl 1523.35086

Appl. Anal. 102, No. 15, 4286-4305 (2023).

MSC:

35B53 Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs
35A16 Topological and monotonicity methods applied to PDEs
35B09 Positive solutions to PDEs
35B10 Periodic solutions to PDEs
35K51 Initial-boundary value problems for second-order parabolic systems
35K58 Semilinear parabolic equations

Keywords:

periodic parabolic system; Sobolev hyperbola; blowing-up method; Leray-Schauder fixed point theory; Pohozaev identity
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Full Text: DOI

References:

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