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Unstable Periodic Solutions of a Parabolic Problem in the Presence of Non-well-ordered Lower and Upper Solutions

โœ Scribed by Colette De Coster; Pierpaolo Omari


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
243 KB
Volume
175
Category
Article
ISSN
0022-1236

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โœฆ Synopsis


We prove the solvability of the Dirichlet-periodic problem for a semilinear parabolic equation, assuming the existence of a lower solution : and an upper solution ;, which do not satisfy the ordering condition : ;. Our results yield the existence of unstable solutions, localized by means of : and ;, requiring weak regularity of the coefficients of the equation.


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