Advances in Analysis

Download PDF (479.3 KB) PP. 14 - 18 Pub. Date: January 15, 2017

DOI: 10.22606/aan.2017.11003

• Shanming Ji
  School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
• Jingxue Yin
  School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
• Jian Deng^*
  School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

This paper deals with the existence of positive periodic solutions of the superlinear heat equation with inhomogeneity. We first prove the existence of positive periodic solutions to the equation with an indispensable nontrivial and globally small inhomogeneity; and then the non-existence for a locally large inhomogeneity with possibly small support is obtained.

Positive periodic solutions, locally large inhomogeneity, globally small inhomogeneity.

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