We present an abstract result concerning PoincarΓ© inequalities in cones. Some examples in Sobolev spaces are provided. We also discuss an application to a priori bounds of solutions for a general boundary value problem involving the vector p-Laplacian operator.
β¦ LIBER β¦
Reaction-diffusion inequalities in cones
β Scribed by V Lakshmikantham; Randy Vaughn
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 432 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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In this paper we study the feasibility and solvability of vector variational inequalities with moving cones in Banach spaces. We show that the strict feasibility implies solvability of vector variational inequalities with moving cones under suitable conditions. Further we show that under suitable co