대한수학회지 (Journal of the Korean Mathematical Society)

  • 제46권4호
  • /
  • Pages.691-699
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  • 2009
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH SUBLINEAR GROWTH NONLINEARITIES

  • Kim, Wan-Se (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY)
  • 발행 : 2009.07.01
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초록

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.

키워드

참고문헌

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피인용 문헌

  1. Periodic solutions of a parabolic equation with homogeneous Dirichlet boundary condition and linearly increasing discontinuous nonlinearity vol.64, pp.8, 2013, https://doi.org/10.1007/s11253-013-0712-y
  2. Strong solutions of periodic parabolic problems with discontinuous nonlinearities vol.52, pp.4, 2016, https://doi.org/10.1134/S0012266116040108