Geodesic
Weak periodic solutions of the boundary value problem for nonlinear heat equation
Applications of Mathematics, Tome 24 (1979) no. 4, pp. 284-303.

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The paper deals with the existence of periodic solutions of the boundary value problem for nonlinear heat equation, where various types of nonlinearities are considered. The proofs are based on the investigation of Liapunov-Schmidt bifurcation system via Leray-Schauder degree theory.
DOI : 10.21136/AM.1979.103807
Classification : 35A25, 35B10, 35K05, 35K55, 35K60
Keywords: periodic solution; nonlinear heat equation; bounded, vanishing and jumping nonlinearities; weak solution; singular case; solvability of Landesman-Lazer type; Schauder fixed point theorem; ordinary differential equation 
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     title = {Weak periodic solutions of the boundary value problem for nonlinear heat equation},
     journal = {Applications of Mathematics},
     pages = {284--303},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {1979},
     doi = {10.21136/AM.1979.103807},
     mrnumber = {0533778},
     zbl = {0429.35039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103807/}
}
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Šťastnová, Věnceslava; Fučík, Svatopluk. Weak periodic solutions of the boundary value problem for nonlinear heat equation. Applications of Mathematics, Tome 24 (1979) no. 4, pp. 284-303. doi : 10.21136/AM.1979.103807. http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103807/

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