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In this paper, we establish a multiple existence result of T-periodic solutions for the semilinear parabolic boundary value problem with sublinear
growth nonlinearities. We adapt sub-supersolution scheme and topological argument based on variational structure of functionals.
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참고문헌 (12)
참고문헌 신청
A. Ambrosetti / 1994 / Combined effects of concave and convex nonlinearities in some elliptic problems / J. Funct. Anal. 122 (2) : 519 ~ 543
A. Bahri / 1981 / A perturbation method in critical point theory and applications / Trans. Amer. Math. Soc. 267 (1) : 1 ~ 32
A. Pazy / 1983 / Semigroups of Linear Operators and Applications to Partial Differential Equations / Applied Mathematical Sciences 44
H. Amann / 1978 / Periodic solutions of semilinear parabolic equations, Nonlinear analysis / Academic Press : 1 ~ 29
H. Brezis / 1986 / Remarks on sublinear elliptic equations / Nonlinear Anal. 10 (1) : 55 ~ 64
A. Bahri / 1981 / A perturbation method in critical point theory and applications / Trans. Amer. Math. Soc. 267 (1) : 1 ~ 32
A. Pazy / 1983 / Semigroups of Linear Operators and Applications to Partial Differential Equations / Applied Mathematical Sciences 44
H. Amann / 1978 / Periodic solutions of semilinear parabolic equations, Nonlinear analysis / Academic Press : 1 ~ 29
H. Brezis / 1986 / Remarks on sublinear elliptic equations / Nonlinear Anal. 10 (1) : 55 ~ 64
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