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 ;,
β¦ LIBER β¦
Existence and Localization of Solution for Second Order Elliptic BVP in Presence of Lower and Upper Solutions without Any Order
β Scribed by Colette De Coster; Marc Henrard
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 356 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0022-0396
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## Communicated by G. Franssens We propose a method for solving boundary value and eigenvalue problems for the elliptic operator D = div p grad+q in the plane using pseudoanalytic function theory and in particular pseudoanalytic formal powers. Under certain conditions on the coefficients p and q w