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Deuel, Johanna; Hess, Peter

Nonlinear parabolic boundary value problems with upper and lower solutions. (English) Zbl 0372.35045

Isr. J. Math. 29, 92-104 (1978).
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Cited in 1 Review
Cited in 35 Documents

MSC:

35K55 Nonlinear parabolic equations
35B10 Periodic solutions to PDEs
35A15 Variational methods applied to PDEs
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\textit{J. Deuel} and \textit{P. Hess}, Isr. J. Math. 29, 92--104 (1978; Zbl 0372.35045)
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References:

[1] H. Amann,Periodic solutions of semi-linear parabolic equations, to appear in a volume on ”Nonlinear Analysis” dedicated to Professor Rothe on the occasion of his 80th birthday, 1976.
[2] F. E. Browder,Existence theorems for nonlinear partial differential equations, Proc. Sympos. Pure Math., Vol. 16, Amer. Math. Soc., Providence, Rhode Island, 1970 pp. 1–60. · Zbl 0211.17204
[3] J. Deuel,Nichtlineare parabolische Randwertprobleme mit Unter- und Oberlöungen, ETH Diss. Nr. 5750, Zurich, 1976.
[4] J. Deuel and P. Hess,A criterion for the existence of solutions of nonlinear elliptic boundary value problems. Proc. Roy. Soc. Edinburgh Sect. A74 (1975), 49–54. · Zbl 0331.35028
[5] P. Hess,On the solvability of nonlinear elliptic boundary value problems, Indiana Univ. Math. J.25 (1976), 461–466. · Zbl 0329.35029
[6] J.-L. Lions,Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthiers-Villars, Paris, 1969.
[7] J.-P. Puel,Existence, comportement à l’infini et stabilité dans certains problèmes quasilinéaires elliptiques et paraboliques d’ordre 2, Ann. Scuola Norm. Sup. Pisa,3 (1976), 89–119. · Zbl 0331.35027
[8] D. H. Sattinger,Monotone methods in nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J.21 (1972), 979–1000. · Zbl 0223.35038
[9] P. E. Sobolevskii, Equations of parabolic type in a Banach space, Amer. Math. Soc. Transl., Ser. 2,49 (1966), 1–62.
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