𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multiple existence of periodic solutions for a nonlinear parabolic problem with singular nonlinearities

✍ Scribed by Norimichi Hirano; Wan Se Kim

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
146 KB
Volume
54
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we establish a multiple existence result of periodic solutions for a nonlinear parabolic equations with singular nonlinearity at zero. To establish our result, We use an approximating process by smooth nonlinear functions to avoid a singularity in nonlinear term. And we adapt topological argument based on the variational structure of functionals corresponding to approximating equations.

πŸ“œ SIMILAR VOLUMES

On the Existence of Extremal Periodic So
On the Existence of Extremal Periodic Solutions for Nonlinear Parabolic Problems with Discontinuities
✍ Evgenios P. Avgerinos; Nikolas S. Papageorgiou πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 751 KB

We consider a very general second order nonlinear parabolic boundary value problem. Assuming the existence of an upper solution . and a lower solution satisfying ., we show that the problem has extremal periodic solutions in the order interval K=[ , .]. Our proof is based on a general surjectivity

On the Existence of Solutions for Nonlin
On the Existence of Solutions for Nonlinear Parabolic Problems with Nonmonotone Discontinuities
✍ Nikolaos S. Papageorgiou πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 242 KB

In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution and a lower solution such that F . Using results from the theory of pseudomonotone operators and from the theory of multivalued analysis together with