We study the propagation of hyper surfaces t of N satisfying the equation V = h x t , where V is the normal velocity of t at x t is the interior of t , and h is a given evolution law. We prove the existence of generalized solutions and an inclusion principle for these generalized solutions.
β¦ LIBER β¦
Periodic -Laplacian with nonlocal terms
β Scribed by Qian Zhou; Yuanyuan Ke; Yifu Wang; Jingxue Yin
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 189 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper we study the existence of non-trivial periodic solutions for a periodic p-Laplacian with nonlocal terms based on the theory of Leray-Schauder degree. The key step is dealing with the degeneracy of the p-Laplacian and the logistic-type terms arising in the right hand side of the equation.
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