References
- H. Amann, Periodic solutions of semilinear parabolic equations, Nonlinear analysis (collection of papers in honor of Erich H. Rothe), pp. 1–29, Academic Press, New York, 1978
- A. Ambrosetti, H. Brezis, and G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal. 122 (1994), no. 2, 519–543 https://doi.org/10.1006/jfan.1994.1078
- A. Bahri and H. Berestycki, A perturbation method in critical point theory and applications, Trans. Amer. Math. Soc. 267 (1981), no. 1, 1–32 https://doi.org/10.1090/S0002-9947-1981-0621969-9
- H. Brezis and L. Oswald, Remarks on sublinear elliptic equations, Nonlinear Anal. 10 (1986), no. 1, 55–64 https://doi.org/10.1016/0362-546X(86)90011-8
- P. Hess, Periodic-Parabolic Boundary Value Problems and Positivity, Pitman Research Notes in Mathematics Series, 247. Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1991
- N. Hirano, Existence of multiple periodic solutions for a semilinear evolution equation, Proc. Amer. Math. Soc. 106 (1989), no. 1, 107–114 https://doi.org/10.1090/S0002-9939-1989-0953007-5
- N. Hirano and W. S. Kim, Existence of stable and unstable solutions for semilinear parabolic problems with a jumping nonlinearity, Nonlinear Anal. 26 (1996), no. 6, 1143–1160 https://doi.org/10.1016/0362-546X(94)00284-O
- W. S. Kim, Multiple existence of periodic solutions for semilinear parabolic equations with large source, Houston J. Math. 30 (2004), no. 1, 283–295
- W. S. Kim, Multiple existence of periodic solutions for semilinear parabolic equations with weak nonlinear term, submitted
- J. C. N. Padua, E. A. B. Silva, and S. H. M. Soares, Pssitive solutions of critical semilinear problems involving a sublinear term at the origin, Indina Univ. J. (to appear) https://doi.org/10.1512/iumj.2006.55.2688
- A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences, 44. Springer-Verlag, New York, 1983.
- H. Tanabe, Equations of Evolution, Monographs and Studies in Mathematics, 6. Pitman (Advanced Publishing Program), Boston, Mass.-London, 1979
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