Existence of multiple periodic solutions for semilinear parabolic equations with sublinear growth nonlinearities

키워드

참고문헌 (12)

1. H. Amann, "Periodic solutions of semilinear parabolic equations, Nonlinear analysis", pp.1~29 (1978), Academic Press
2. A. Ambrosetti, "Combined effects of concave and convex nonlinearities in some elliptic problems", J. Funct. Anal., 122(2), pp.519~543 (1994)
3. A. Bahri, "A perturbation method in critical point theory and applications", Trans. Amer. Math. Soc., 267(1), pp.1~32 (1981)
4. H. Brezis, "Remarks on sublinear elliptic equations", Nonlinear Anal., 10(1), pp.55~64 (1986)
5. P. Hess, "Periodic-Parabolic Boundary Value Problems and Positivity, Pitman Research Notes in Mathematics Series" (1991), John Wiley & Sons, Inc.
6. N. Hirano, "Existence of multiple periodic solutions for a semilinear evolution equation", Proc. Amer. Math. Soc., 106(1), pp.107~114 (1989)
7. N. Hirano, "Existence of stable and unstable solutions for semilinear parabolic problems with a jumping nonlinearity", Nonlinear Anal., 6(6), pp.1143~1160 (1996)
8. W. S. Kim, "Multiple existence of periodic solutions for semilinear parabolic equations with large source", Houston J. Math., 30(1), pp.283~295 (2004)
9. W. S. Kim, "Multiple existence of periodic solutions for semilinear parabolic equations with weak nonlinear term, submitted", ~
10. J. C. N. Padua, "Pssitive solutions of critical semilinear problems involving a sublinear term at the origin", Indina Univ. J., ~
11. A. Pazy, "Semigroups of Linear Operators and Applications to Partial Differential Equations", Applied Mathematical Sciences, 44 (1983), Springer-Verlag
12. H. Tanabe, "Equations of Evolution, Monographs and Studies in Mathematics", Pitman, 6 (1979)

관련 논문AI추천